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Gravitation Quiz Question  Answer 

A man is standing on an international space station, which is orbiting earth at an altitude 520$$\mathrm { km }$$ with a constant speed 7.6 $$\mathrm { km } / \mathrm { s }$$ . If the men's weight is 50$$\mathrm { kg }$$ , his acceleration is  8.4$$m / s ^ { 2 }$$ 
In the usual notation, the acceleration due to gravity at a height $$h$$ from the surface of the earth is .........  $$g= \frac{GM}{(R+h)^2}$$ 
The value of the acceleration due to gravity at a height from Earth's surface decreases by $$1\%$$. What will be the value of height from the surface?(Take the radius of earth =$$6400\ km$$)  $$32\ km$$ 
If the acceleration due to gravity at a height 'h' from the surface of the earth is $$96$$% less than its value on the surface, then h= ______R where R is the radius of the earth.  $$4$$ 
The change in the value of $$^ { \prime } g ^ { \prime }$$ at a height $$^ { \prime }$$ h'above the surface of the earth is same as at a depth 'd'. If d and h are much smaller than the radius of earth, then which one of the following is correct? 
$$d=2h$$ 
A particle would take a time $$t$$ to move down a straight tube from the surface of earth (supposed to be a homogeneous sphere) to its centre. If gravity were to remain constant, then the time would be $$t$$. The ratio of $$t/t$$ will be  $$\dfrac{ \pi }{ 2\sqrt { 2 } }$$ 
A satellite is revolving around Earth in a circular orbit whose radius is R.work done by gravitational force in one revolution is  zero 
Which of the following laws are conserved, if the areal acceleration is zero  Law of conservation of angular momentum 
The gravitational potential energy is the  work done in bringing an object from infinity to radius r 
Earth can be considered as uniform solid sphere of radius $$R. g_{1}$$ and $$g_{2}$$ be acceleration due to gravity at points $$R/2$$ below the surface and $$R/2$$ above the surface of earth respectively. Then $$\dfrac {g_{1}}{g_{2}}$$ equals to  $$\dfrac {9}{8}$$ 
Kinetic Theory Quiz Question  Answer 

A heliumfilled latex balloon initially at room temperature is placed in a freezer. The latex remains flexible. The balloon’s volume  decrease 
One kg of a diatomic gas is at a pressure of $$8\times {10}^{4}N/{m}^{2}$$. The density of gas is $$4kg/{m}^{2}$$. What is the energy of the gas due to its thermal motion?  $$5\times {10}^{4}J$$ 
If temperature of body increases by 10%, then increase in radiated energy of the body is :  46 % 
A thin walled hollow cylinder is rolling down an incline , without slipping. At any instant, without slipping. At any instant the ratio "Rotational K.E : Translational K.E : Total K.E" is  $$ 2 : 1 : 3 $$ 
A gas undergoes a process such that $$P \propto \dfrac{1}{T}$$. If the molar heat capacity for this process is $$24.93 \,J/mol \,K$$, then what is the degree of freedom of the molecules of the gas?  $$2$$ 
If water at $$0^0C$$, kept in a container with an open top, is placed in a large evacuated chamber,  part of the water will vaporize and the rest will freeze 
Hydrogen is a diatomic gas. Its molar specific heat at constant volume is very nearly  $$\frac { 5 R } { 2 }$$ 
Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from $${ 20 }^{ 0 }C$$ to $${ 90 }^{ 0 }C$$ . Work done by gas is close to : ( gas constant R=8.31 j / mol k )  581 j 
Who amongst the following shows lowest tendency towards reduction in gaseous state.  Se 
The mean free path of nitrogen molecules at a pressure of 1.0 atm and temperature $$ 0^0 C $$ is $$ 0.8 \times 10^{7} m $$. If the number of density of molecules is $$ 2.7 \times 10^{25} $$ per $$ m^3 $$, then the molecular diameter is  $$ 3.2 A^0 $$ 
Laws Of Motion Quiz Question  Answer 

If an external force and the frictional force acting on a body cancel each other the frictional force is  Static friction 
A uniform rod of mass M has an impulse applied at right angles to one end. If the other end begins to move with speed V, the magnitude of the impulse is  $$\cfrac {2MV} {3}$$ 
What is product of force and the time for which force act called? 
Impulse of force 
The momentum of the body does not depend on  acceleration of the body 
For which type of surface magnitude of frictional force would be less? 
Glass surface 
Momentum gives the measure of  the quantity of motion 
In kinetic theory of gases , a molecule of mass $$m$$ of an ideal gas collides with a wall of vessel with velocity $$V$$. The change in the linear momentum of the molecule is  $$2 \,mV$$ 
The total momentum of the molecules of $$1\,gm\, mol $$of a gas in a container at rest of $$300\,K $$ is  Zero 
Impulse is equal to 
change in momentum 
A $$10$$ gm bullet is fired from a rifle horizontally into a $$5$$ kg block of wood suspended by a string and the bullet gets embedded in the block. The impact causes the block to switch to an a height of $$2.5$$ cm above its initial level. The velocity of the bullet is  $$1000 $$m/sec 
Mechanical Properties Of Fluids Quiz Question  Answer 

A metal ball is being weighed in a liquid whose temperature is raised continuously. Then the apparent weight of the ball :  increases 
A man of mass 100 kg stands on a wood plank of area $$4\, m^2$$. What is the pressure exerted on the floor? Assume the area of a human foot to be $$200\, cm^2$$.  250 N 
The base area of a boat is $$2m^{2}$$. A man weighing $$76kg$$ weight steps in to the boat. Calculate the depth in to which the boat sinks further in to water.  $$3.8\ cm$$ 
An orifice of area $$10sq.mm$$ is made at the bottom of a vessel containing water to a height of $$10m$$ above the orifice. What is the force on the vessal  $$1.96N$$ 
A liquid is coming out from the orifice of tank and falls up to a maximum horizon distance of $$6m$$ . The height $$h$$ is equal to  $$3.0m$$ 
Barometer was constructed by :  Torricelli 
The height up to which water will rise in a capillary tube will be  Minimum when water temperature is $$4^{\circ}C$$ 
Equal volumes of a liquid is poured into containers A and B such that the area of crosssection of container A is double the area of crosssection of container B. If $$P_A$$ and $$P_B$$ are the pressures exerted at the bottom of the containers then $$P_A : P_B = $$__________ 
1 : 2 
For a liquid which is rising in a capillary, the angle of contact is  Acute 
As we go higher and higher atmospheric pressure _______.  Decreases 
Mechanical Properties Of Solids Quiz Question  Answer 

The bulk modulus of a spherical object is B. If it is subjected to uniform pressure p, the fractional decrease in radius is  $$\frac{p}{3B}$$ 
A 2.0 m long steel cable has crosssectional area of $$ 0.30 cm^2 $$. A 550 kg load is now hung from the cable. Assume that the cable behaves like a solid rod with an uniform crosssectional area. Then the stress of the cable is:  $$1.8 \times 10^8 Pa$$ 
Two wires of same material and length but crosssections in the ratio $$1:2$$ are used to suspend the same loads. The extensions in them will be in the ratio 
$$2:1$$ 
The length of an iron wire is $$L$$ and area of crosssection is $$A$$. The increase in length is $$l$$ on applying the force $$F$$ on its two ends. Which of the statement is correct?  Increase in length is inversely proportional to area of crosssection 
Two wires are made of the same material and have the same volume. However wire 1 has crosssectional area $$A$$ and wire 2 has cross sectional area $$3A$$. If the length of wire 1 increases by $$\Delta \mathrm{x}$$ on applying force $$\mathrm{F}$$, how much force is needed to stretch wire 2 by the same amount ? 
$$9\mathrm{F}$$ 
At $$40^oC$$, a brass wire of $$1 mm$$ radius is hung from the ceiling. A small mass, $$M$$ is hung from the free end of the wire. When the wire is cooled down from $$40^oC$$ to $$20^oC$$ it regains its original length of $$0.2 m$$. The value of $$M$$ is close to : (Coefficient of linear expansion and Young's modulus of brass are $$10^{5} / ^oC$$ and $$10^{11} \ N/m^2$$, respectively; $$g = 10 ms^{2}$$) 
$$9 \ kg$$ 
A uniformly tapering conical wire is made from a material of Young's modulus $$Y$$ and has a normal, unextended length $$L$$. The radii, at the upper and lower ends of this conical wire, have values $$R$$ and $$3R$$, respectively. The upper end of the wire is fixed to a rigid support and a mass $$M$$ is suspended from its lower end. The equilibrium extended length, of this wire, would equal to: 
$$L\left( 1+\dfrac { 1 }{ 3 } \dfrac { Mg }{ \pi \Upsilon { R }^{ 2 } } \right) $$ 
A thin 1 m long rod has a radius of 5 mm.1 A force of 50 $$\pi kN$$ is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is 0.01 mm, which of the following statements is false ? 
The maximum value of Y that can be determined is $$10^{14} N/m^2$$. 
If speed(V), acceleration(A) and force(F) are considered as fundamental units, the dimension of Young's modulus will be?  $$V^{4}A^2F$$ 
A bottle has an opening of radius $$a$$ and length $$b$$. A cork of length $$b$$ and radius $$(a+ \Delta a)$$ where $$(\Delta a << a)$$ is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and the frictional coefficient between the bottle and cork is $$\mu$$ then the force needed to push the cork into the bottle is : 
$$(4\pi \mu B b)\Delta a$$ 
Motion In A Plane Quiz Question  Answer 

The minimum number of vectors of unequal magnitude required to produce a zero resultant is :  $$3$$ 
A single velocity time graph can be drawn for  1 dimension only. 
Which of the following motions is different from the rest?  a bird flying in the air 
A fly wheel rotating at 600 rev/min is brought under uniform deceleration and stopped after 2 minutes, then what is angular deceleration in $$rad/sec^2$$?  $$\frac{\pi}{6}$$ 
What is the rage of a projectile thrown with velocity $$98 \,m/sec$$ with angle $$30^o$$ from horizontal?  $$490\sqrt{3}$$ meter 
A curved section of road is banked for a speed v. if there is no friction between road and tyres of the car , then : 
car is more likely to slip at speeds higher than V 
At what angle 2 forces (P+Q) & (PQ) act so that resultant is  $$\sqrt{2} (p^2+ q^2)$$ 
A body of mass 1 kg is projected from the ground at an angle $${30^0}$$ with horizontal on the level ground at a speed 50m/s. 
$$50kg\;m{s^{  1}}$$ 
Which of the following physical quantities is different from others? 
Average velocity 
A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $$v$$, the total area around the fountain that gets wet is :  $$\displaystyle \pi\dfrac{\mathrm{v}^{4}}{\mathrm{g}^{2}}$$ 
Motion In A Straight Line Quiz Question  Answer 

A man throws balls with the same speed vertically upwards one after the other at an interval of $$2$$ second. What should be the speed of the throw so that more than two balls are in sky at any time? (Given $$g=9.8$$ $${m/s^2}$$)  Only with speed $$19.6$$ $${m/s}$$ 
A particle starts from rest and travels a total distance of 18m along a straight path.The first half of the distance was travelled with a uniform acceleration of 2 $$ms^{2}$$ and the rest uniform velocity.The average velocity for the whole journey is (in $$ms^{1}$$)  6 
At any instant, the velocity and acceleration of a particle moving along a straight line v and a. The speed of the particle is increasing if  v > 0, a > 0 
A lizard, at an initial distance of $$21$$ cm behind an insect, moves from rest with an acceleration of $$2 cm/s^{2}$$ and pursues the insect which is crawling uniformly along a straight line at a speed of $$20$$ cm/s. Then the lizard will catch the insect after 
$$21$$ s 
Two points $$A$$ and $$B$$ move from rest along a straight line with same acceleration $$f$$ and $$f'$$ respectively. If $$A$$ takes $$m\ \text{sec}$$ more than $$B$$ and describes $$n$$ units more than $$B$$ in acquiring the same speed then  $$(f^{'}f)n=\frac{1}{2}ff^{'}m^{2}$$ 
Two stones are thrown up simultaneously from the edge of a cliff $$240\ m$$ high with initial speed $$10\ m/s$$ and $$40\ m/s$$ respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first ? (Assume stones do not rebound after hitting the ground and neglect air resistance, take $$g = 10\ m /s^2$$) (The figures are schematic and not drawn to scale.) 

STATEMENT1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary. STATEMENT2: If the observer and the object are moving at velocities $$\vec{\mathrm{V}}_{1}$$ and $$\vec{\mathrm{V}}_{2}$$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $$\vec{\mathrm{V}}_{2}\vec{\mathrm{V}}_{1}$$. 
STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is NOT a correct explanation for STATEMENT1 
A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field $$\overrightarrow{E}$$. Due to the force $$q\overrightarrow{E}$$, its velocity increases from $$0$$ to $$6\ m/s$$ in onesecond duration. At that instant, the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between $$0$$ to $$3$$ seconds are respectively:  $$1$$ m/s, $$3$$ m/s 
A ball is dropped from a bridge $$122.5 m$$ high. After the first ball has fallen for $$2 seconds$$, a second ball is thrown straight down after it, what must be the initial velocity of the second ball be, so that both the balls hit the surface of water at the same time?  $$26.1 {m}/{s}$$ 
If a car at rest accelerated uniformly to a speed of $$144 {km}/{hour}$$ in $$20 second$$ it covers a distance:  $$400 m$$ 
Oscillations Quiz Question  Answer 

If a body of mass 0.98 kg is made to oscillate on a spring of force constant 4.84 N/m, the angular frequency of the body is 
2.22 rad/s 
State whether true or false. Piston of the engine in a motor car exhibits Oscillatory motion. 
True 
A man of mass $$60 kg$$ is standing on a platform executing $$SHM$$ in the vertical plane. The displacement from the mean position varies as $$y=0.5 sin\left(2\pi ft \right)$$. The value of $$f$$, for which the man will feel weightlessness at the highest point, is (y in metre)  $${ \dfrac{ \sqrt{2g} }{ 2\pi }}$$ 
A particle makes SHM along a straight and tis velocity when passing through point $$3cm$$ and $$4cm$$ from the mean position $$16mc/sec$$ and $$12cm/sec$$ respectively. then time period is  $$\dfrac{\pi}{2}sec$$ 
A particle performing SIIM is found at its equilibrium at $$t = 1$$ sec and it is found to have a speed of $$0.25 \mathrm { m } / \mathrm { s }$$ at $$t = 2$$ sec. If the period of oscillation is $$6$$ sec . Calculate amplitude of oscillation 
$$\frac { 3 } { 2 \pi } m$$ 
The equation of a particle executing SHM is $$ \frac{2 d^{2} x}{d t^{2}}+32 x=0 . $$ Then the time period of the body is  $$ \frac{\pi}{2} $$ 
A stone is swinging in a horizontal circle $$0.8m$$ in diameter, at $$30rev/min$$. A distant light causes a shadow of the stone to be formed on a nearby wall. What is the amplitude of the motion of the shadow? What is the frequency?  $$0.4m,0.5Hz$$ 
A particle executes SHM with an emplitude of 10 cm and frequency 2Hz. At t=0, the particle is at a point where speed is $$1\sqrt{2}$$ times of maximum speed. Which of these may be representing variation of displacement(x) with time (t)? (x) is measured from mean position  $$x=0.1sin\left ( 4\pi t+\frac{\pi }{4} \right )$$ 
A particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that it is at a distance $$\displaystyle\frac{2A}{3}$$ from equilibrium position. The new amplitude of the motion is.  $$\displaystyle\frac{7A}{3}$$ 
A body is in simple harmonic motion with time period half second $$(T=0.5s)$$ and amplitude one cm $$(A=1 cm)$$. Find the average velocity in the interval in which it moves from equilibrium position to half of its amplitude.  $$12 cm/s$$ 
Physical World Quiz Question  Answer 

The Steam engine is based on which scientific principle?  Laws of thermodynamics 
The magnitude of noncontact force depends upon: 
distance between two bodies 
Name the Indian scientist who has contributed in the discovery of inelastic scattering of light by molecules.  C.V. Raman 
Which of the following is not correct about nuclear forces? 
They are the shortrange attractive force 
No contact force acts on a bucket when it is being pulled out of a well using a rope  False 
What was the major contribution/discoveries of Archimedes?  Principle of buoyancy; Principle of the lever 
Earth pulls every object towards it with a force called:  Gravity 
Which of the following is true regarding the physical science?  Both a and b 
_____ suggested that the ships should be marked with load lines. 
Samuel plimsoll 
Earth has no gravitational force:  False 
Systems Of Particles And Rotational Motion Quiz Question  Answer 

A potter's wheel has ______ motion  rotatory 
The moment of inertia of a flywheel is $$4\, kg\ m^2$$. A torque of $$10$$ Newtonmeter is applied on it. The angular acceleration produced will be :  $$2.5 \,radians/sec^2$$ 
The centre of a mass of a rigid body lies  either $$(a)$$ or $$(b)$$ 
On doubling the speed of of an object its: 
Momentum is doubled 
A man weighing $$60kg$$ is standing on a trolley weighing $$240 kg$$. The trolley is resting on friction less horizontal rails. If the man starts walking on the trolley with a velocity of $$1ms^{1}$$, then after $$4s$$, his dispalcement relative to the ground is  $$1m$$ 
A body of mass 'm' falls from a height 'h' and rebounds. If 'e' is the coefficient of restitution between the ground and the body, the change in linear momentum of the body is  $$m(1+e) \sqrt{2gh}$$ 
A girl seated on a stool that is free to rotate about a vertical axis holds a bicycle wheel rotating in a horizontal plane in clockwise direction. When see inverts the wheel upside down  she rotates in clockwise direction along with the stool 
Figure shows a thin metallic triangular sheet ABC. The mass of the sheet is M. The moment of inertia of the sheet about side AC is : 
$$\frac{Ml^2 }{12}$$ 
A scalene triangular lamina of uniform mass density and negligible thickness has one of its vertices at the origin. The position vectors of its other two vertices are $$\vec a$$ and $$\vec b$$. The location of its centre of mass will be  $$\frac{\vec a + \vec b}{3}$$ 
The angular speed of a body changes from $$ \omega_1 $$ to $$ \omega_2 $$ without applying a torque but due to change in its moment of inertia.the ratio of radii of gyration in the two cases is  $$ \sqrt \omega_2 : \sqrt \omega_1 $$ 
Thermal Properties Of Matter Quiz Question  Answer 

One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature is increased by 1 K keeping pressure constant , the increase in volume is  $$\dfrac { V }{ 273 } $$ 
A marble tile would feel cold as compared to a wooden tile on a winter morning, because the marble tile  is a better conductor of heat than the wooden tile. 
A pond has an ice layer of thickness 3 cm. If K of ice is 0.005 CGS units, surface temperature of surroundings is $$20^\circ C$$, density of ice is $$0.9 gm/cc$$, the time taken for the thickness to increase by 1 cm is  42 min 
Which of the following is more close to a black body?  Black holes 
A gas is taken through cyclic process $$ABCA$$ is shown in figure. If $$2.4$$ cal of heat is given in the process, what is value of $$J$$? 
$$\text{4.17 J/ cal}$$ 
At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at $${47}^{o}C$$?  $$20K$$ 
The graph $$AB$$ shown in the figure is a plot of the temperature of a body in degree Celsius and degree Fahrenheit. Then 
slope of line $$AB$$ is $$\dfrac {5}{9}$$ 
Two metal spheres have radii r and 2r and they emit thermal radiation with maximum intensities at wavelengths $$\lambda$$ and $$2\lambda$$ respectively. The respective ratio of the radiant energy emitted by them per second will be  4 : 1 
When the temperature of a rod increases from $$T$$ to $$T+\Delta T$$, its moment of inertia increase from $$I$$ to $$I+\Delta I$$. If $$\alpha$$ is the coefficient of linear expansion of the rod, then the value of $$\cfrac{\Delta I}{I}$$ is:  $$2\alpha \Delta T$$ 
Radius of the sun is $$7\times { 10 }^{ 8 }m$$ and the energy radiated by it is $$38\times { 10 }^{ 28 }W$$. Calculate the magnitude of energy propagation poynting vector (i.e., energy flowing per second per unit area) on the surface of sun:  $$6.17\times { 10 }^{ 10 }W/{ m }^{ 2 }$$ 
Units And Measurement Quiz Question  Answer 

Given $$x = a + b t + c t ^ { 2 }$$ where $$x$$ in metre and $$t$$ in second. Find the dimensional formula of $$b$$ 
$$L T ^ {  1 }$$ 
If L be the inductance, R resistance and C be the capacitance of a capacitor, then dimensional formula of $$ \cfrac {L}{R} $$ and RC are  $$ M^oL^oT, M^oL^oT $$ 
The dimensions of $$(\mu_{0}\epsilon_{0})^{\dfrac {1}{2}}$$ are  $$[L T^{1}]$$ 
If C be the capacitance and V be the electric potential,then the dimensional formula of $$ CV^2 $$ is  $$ [ML^2T^{2} A^o] $$ 
Given $$x = a + b t + c t ^ { 2 }$$ where $$x$$ in metre and $$t$$ in second. Find the dimensional formula of $$C$$  $$L T ^ {  2 }$$ 
Given that m is the mass suspended from a spring force constant k. The dimension of the formula for $$\sqrt{m/k}$$ is same as that for  time period 
Velocity gradient has dimension of 
Frequency 
A body of mass $$m_{1}$$, moving with uniform velocity of $$40\ m/s$$ collides with another mass $$m_{2}$$ at rest and then the two together begin to move in a uniform velocity of $$30\ m/s$$. The ratio of their masses $$(m_{1}/m_{2})$$ is  $$3.0$$ 
The dimensions of (force constant $$$$ \ mass)$$^ { 1 / 2 }$$ are the same as that  angular velocity 
If area $$(A)$$, velocity $$(v)$$ and density $$(\rho)$$ are base units, then the dimensional formula of force can be represented  $$ \left [ Av^{2}\rho \right ] $$ 
Waves Quiz Question  Answer 

Two sources A and B are sounding notes of frequency 660Hz.A listener move from A to B with a constant velocity u.If the speed of sound is 330m/s ,what must be the value of u so that he hears 8 beats per seconds?  $$2 . 8 m/s$$ 
If two tuning fork side by side are vibrating at $$225$$ and $$257\ Hz$$, then their combined effect would be :  that of middle $$C$$ 
The speed of the wave travelling on the uniform circular hoop of string, rotating clockwise in absence of gravity with tangential speed $$v_0$$, is :  $$v=v_0$$ 
A wave equation which gives the displacement along the Y direction is given by $$y = 10^{4} sin (60t + 2x)$$ where x and y are in metres and t is time in seconds. This represents a wave  of amplitude $$10^{4}$$ metre 
A standing wave arises on a string when two waves of equal amplitude, frequency, and wavelength traveling in opposite directions superimpose. If the frequency of twocomponent wäves is doubled, then the frequency of oscillation of the standing waves  gets doubled 
The space density of the potential energy $$PE = E_p(x, t)$$ at a point (x, t) in the space is  $$E_p = \dfrac{\rho a^2 \omega^2}{2} sin^2\space kx\space cos^2 \omega t$$ 
Two sine waves of slightly different frequencies $$f_1$$ and $$f_2 (f_1 > f_2)$$ with zero phase difference, same amplitudes, travelling in the same direction superimpose.  A maxima appears at a time $$1/[2(f_1  f_2)]$$ later (or earlier) than a minima appears. 
The equation of a progressive wave is given by $$y=10 sin (5tx)$$. The wave gets reflected from a open boundary. The equation of the reflected wave is  $$y=10 sin (5t+x)$$ 
A particle performs SHM with amp $$A$$. Its speed is hetled when at $$\dfrac {2A}{3}$$ from equation. Two new amp is  $$\dfrac {7A}{3}$$ 
A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O attime T/8 after passing through O is:  $$\dfrac{a}{\sqrt2}$$ 
Work, Energy And Power Quiz Question  Answer 

A vibrating body possesses:  sound energy 
A force $$\vec { F } =\left( { 3x }^{ 2 }+2x7 \right) $$ N acts on a 2 kg body as a result of which the body gest displaced x=0 to x=5 cm. The work done by the force will be  115 Joule 
A particle moves along the xaxis from x=0 to x=5 m under the influence of a force given by $$F=\left( { 72x+3x }^{ 2 } \right) N.$$ The work done in the process is  135 J 
A uniform elastic string has length $$a_{1}$$ when tension is $$T_{1}$$ and length $$a_{2}$$ when tension is $$T_{2}$$. The amount of work done in stretching it from its natural length to a length $$(a_{1}+ a_{2})$$ is ?  $$\dfrac {1}{2}\dfrac {(a_{1}T_{1}a_{2}T_{2})^{2}}{2(T_{1}T_{2})(a_{1} a_{2})}$$ 
Velocitytime graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all the forces on the particle during the motion is: 
$$400 J$$ 
A particle is displaced from a position $$(2\hat { i } \hat { j } +\hat { k } )$$ metre to another position $$(3\hat { i } +2\hat { j } 2\hat { k } )$$ meter under the action of force $$(2\hat { i } +\hat { j } \hat { k } )$$ N. Work done by the force is:  8 J 
A balloon with its contents weighing 160 N is moving down with an acceleration of g/2 $${ ms }^{ 2 }$$ the mass to be removed from it so that the balloon moves up with an acceleration of g/3$${ ms }^{ 2 }$$ is  10 kg 
In $$10 s$$, a body of $$6 kg$$ mass is dragged $$8 m$$ with uniform velocity across a floor by a steady force of $$20 N$$. The K.E of the body is:  $$1.92 J$$ 
A body of mass 5 Kg initially at rest is moved by a horizontal force of 2 N on a smooth horizontal surface. The work done by the force in 10 s is  40 J 
A force of $$ \left(4 x^{2}+3 x\right) $$ N acts on a particle which displaces it from $$ x=2 m $$ to $$ x=3 \mathrm{m} $$. The work done by the force is 
$$32.8 J$$ 
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