CBSE Questions for Class 11 Engineering Physics Oscillations Quiz 1 - MCQExams.com

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.
  • $$\displaystyle\frac{A}{3}\sqrt{41}$$
  • $$\displaystyle 3A$$
  • $$\displaystyle A\sqrt 3$$
  • $$\displaystyle\frac{7A}{3}$$
A $$1\, kg$$ block attached to a spring vibrates with a frequency of $$1\,Hz$$ on a frictionless horizontal table. Two springs identical to the original spring are attached in a parallel to an $$8\,kg$$ block placed on the same table. So, the frequency of vibration of the $$8\, kg$$ block is ;
  • $$\dfrac{1}{4} Hz$$
  • $$\dfrac{1}{2 \sqrt{2}} Hz$$
  • $$2Hz$$
  • $$\dfrac{1}{2} Hz$$
A small block is connected to one end of a massless spring of unstretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t=lt then executes simple harmonic motion with angular frequency $$\omega =\frac { \pi }{ 3 } rad/s$$.
Simultaneously at t=0, a small pebble is projected with speed v from point P at an angle of 45 as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hits the block at t = 1 s, the value of v is
(take $$g = 10 m/{ s }^{ 2 }$$)

28850.png
  • $$\sqrt { 50 } m/s$$
  • $$\sqrt { 51 } m/s$$
  • $$\sqrt { 52 } m/s$$
  • $$\sqrt { 53 } m/s$$
A particle is executing SHM along a straight line. Its velocities at distances $$x_1$$ and $$x_2$$ from the mean position are $$V_1$$ and $$V_2$$, respectively. Its time period is:
  • $$2\pi \sqrt {\cfrac {V_1^2+V_2^2}{x_1^2+x_2^2}}$$
  • $$2\pi \sqrt {\cfrac {V_1^2-V_2^2}{x_1^2-x_2^2}}$$
  • $$2\pi \sqrt {\cfrac {x_1^2+x_2^2}{V_1^2+V_2^2}}$$
  • $$2\pi \sqrt {\cfrac {x_2^2-x_1^2}{V_1^2-V_2^2}}$$
Average velocity of a particle executing SHM in one complete vibration is : 
  • $$\dfrac{A \omega}{2}$$
  • $$A \omega$$
  • $$\dfrac{A \omega^2}{2}$$
  • zero
Two particle are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is:
  • $$0$$
  • $${2\pi}/{3}$$
  • $$\pi$$
  • $${\pi}/{6}$$
A particle is describing simple harmonic motion. If its velocities are $$v_{1}$$ and $$v_{2}$$ when the displacements from the mean position are $$y_{1}$$ and $$y_{2}$$ respectively, then its time period is
  • $$2\pi \sqrt {\dfrac {y_{1}^{2} + y_{2}^{2}}{v_{1}^{2} + v_{2}^{2}}}$$
  • $$2\pi \sqrt {\dfrac {v_{2}^{2} - v_{1}^{2}}{y_{1}^{2} - y_{2}^{2}}}$$
  • $$2\pi \sqrt {\dfrac {v_{2}^{2} + v_{1}^{2}}{y_{1}^{2} + y_{2}^{2}}}$$
  • $$2\pi \sqrt {\dfrac {y_{1}^{2} - y_{2}^{2}}{v_{1}^{2} - v_{2}^{2}}}$$
If maximum speed of a particular in SHM is given by $$\displaystyle { V }_{ m }$$. What is its average speed?
  • $$\displaystyle \frac { \pi   { V }_{ m }}{2}$$
  • $$\displaystyle \frac { 2 V_m}{ \pi } $$
  • $$\displaystyle \frac { \pi V_m}{ 4 } $$
  • $$\displaystyle \frac { { V }_{ m } }{ \sqrt { 2 } } $$
The velocity vector v and displacement vector x of a particle executing SHM are related as $$\dfrac{vdv}{dx}=-\omega^2x$$ with the initial condition $$V=v_0$$ at $$x=0$$. The velocity v, when displacement is x, is?
  • $$v=\sqrt{v^2_0+\omega^2x^2}$$
  • $$v=\sqrt{v^2_0-\omega^2x^2}$$
  • $$v=\sqrt[3]{v^3_0+\omega^3x^3}$$
  • $$V=v_0-(\omega^3x^3e^{x^3})^{1/3}$$
If $$K_i$$ and $$K_p$$ respectively are effective spring constant in series and parallel combination of springs as shown in figure, find $$\displaystyle\frac{K_i}{K_p}$$
473767_8300d24931744826add95bd233d88b5b.png
  • $$\displaystyle\frac{9}{2}$$
  • $$\displaystyle\frac{3}{7}$$
  • $$\displaystyle\frac{2}{9}$$
  • $$\displaystyle\frac{7}{3}$$
In SHM the net force towards mean position is related to its displacement (x) from mean position by the relation
  • $$F \propto x$$
  • $$F \propto \frac{1}{x}$$
  • $$F \propto x^2$$
  • $$F \propto \frac{1}{x^2}$$
State whether true or false.
Piston of the engine in a motor car exhibits Oscillatory motion.
  • True
  • False
The motion described by the needle of sewing machine is oscillatory motion. True or false
  • True
  • False
State whether true or false.
All periodic motion need not be oscillatory but all oscillatory motions
are periodic.
  • True
  • False
Water waves in a shallow dish are $$6.0\ m$$ long. At one point, the water moves up and down at a rate of $$4.8$$ oscillations/s. Speed of the wave is:
  • $$28.8\ m/s$$
  • $$26.8\ m/s$$
  • $$18.8\ m/s$$
  • $$38.8\ m/s$$
The period of pendulum depends upon
  • mass
  • length
  • amplitude
  • energy
The relation between T and g by
  • $$T\propto g$$
  • $$T\propto g^{2}$$
  • $$T^{2}\propto g^{-1}$$
  • $$\displaystyle T\propto \frac{1}{g}$$
The motion of a pendulum is an example of :
  • translatory motion
  • rotational motion
  • oscillatotry motion
  • curvilinear motion
If a body moves back and forth repeatedly about a mean position, it is said to possess 
  • rotatory motion
  • projectile motion
  • oscillatory motion
  • Reciprocating motion
In the equations below, A, B, $$\omega$$ and $$\phi$$ are constants; $$y$$ and $$t$$ are variables; $$t$$ represents time. Only one of the following equations does not represent SHM. Which one is that?
  • $$y= A sin \omega t$$
  • $$y= B cos \omega t$$
  • $$y= A sin \omega t + B cos \omega t$$
  • $$y= A sin \omega t + B cos (2\omega t)$$
Displacement-time graph depicting an oscillatory motion is
  • cos curve
  • sine curve
  • tangent curve
  • straight line
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
One oscillation completed by a vibrating body in one second is known as 
  • 1tesla
  • 1Hertz
  • 1horse power.
  • none
Swinging of table fan is an example of which type of motion?
  • Oscillatory motion
  • One dimenetional motion
  • Projectile motion
  • None of the above
Which of the following is not an oscillatory motion?
  • The tuning fork
  • The stretched string
  • The motion of the swing
  • None of the above
If a particle is oscillating on the same horizontal plane on the ground.
  • It has only kinetic energy but no potential energy
  • It has only potential energy and no kinetic energy
  • It has both kinetic and potential energy
  • None of these
"The projection of the path of a particle in a circle along its diameter is an oscillatory motion" Is this statement correct
  • This is correct only if diameter of the circle is larger than 2m
  • This statement is always correct
  • This statement is always incorrect
  • This statement is correct only if the particle performs uniform circular motion
In case of force oscillations of a body
  • driving force is constant throughout.
  • driving force is to be applied only momentarily.
  • driving force has to be periodic and continuous.
  • driving force is not required.
A particle executing simple harmonic motion with an amplitude A. The distance travelled by the particle in one time period is
  • zero
  • A
  • $$2$$A
  • $$4$$A
Time period will be minimum when d is equal to
  • L/$$\sqrt{12}$$
  • L/$$\sqrt{6}$$
  • L/4
  • L/2
The equation of motion of a particle is $$x = a cos(\alpha t)^2$$. The motion is
  • periodic but not oscillatory
  • periodic and oscillatory
  • oscillatory but not periodic
  • neither periodic nor oscillatory.
The function $$sin ^2(\omega t)$$ represents :
  • A periodic, but not simple harmonic motion with a period $$2\pi /\omega$$
  • A periodic, but not simple harmonic motion with a period $$\pi / \omega$$
  • A simple harmonic motion with a period $$2\pi /\omega$$
  • A simple harmonic motion with a period $$\pi / \omega $$.
What is the effect on the time period of a simple pendulum if the mass of the bob is doubled?
  • Halved
  • Doubled
  • Becomes $$8$$ times
  • No effect
The equation x =a sin 2t + b cos 2t will represent an SHM
  • True
  • False
The equation of simple harmonic wave is given by $$y=5$$sin $$\dfrac{5}{2}(100 t - x)$$, where $$x$$ and $$y$$ are in meter and time is in second. The time period of the wave (in second) will be.
  • $$0.04$$
  • $$0.06$$
  • $$0.01$$
  • $$0.05$$
The displacement of a particle from its mean position (in meter) is given by $$Y= 0.2\ sin (10 \pi t+1.5 )\ cos\ (10 \pi t+1.5 )$$. 
The motion of the particle is
  • periodic but not $$SHM$$
  • Non - Periodic
  • $$SHM$$ with period $$0.1\ sec$$
  • $$SHM$$ with period $$0.2\ sec$$
Equation of SHM is x = 10 sin 10 $$\pi$$t. Then the time period is, x is in cm and t is in sec
  • 10 $$\pi$$
  • 0.2 sec
  • 0.1 sec
  • 2 sec
For a body in $$S.H.M$$ the velocity is given by the relation $$v=\sqrt{144-16x^2}m/sec$$. The maximum acceleration is  
  • $$12 m/sec^2$$
  • $$16 m/sec^2$$
  • $$36 m/sec^2$$
  • $$48 m/sec^2$$
The natural angular frequency of a particle of mass 'm' attached to an ideal spring of force constant 'K' is
  • $$\sqrt{\frac{K}{m}}$$
  • $$\sqrt{\frac{m}{K}}$$
  • $$\left ( \frac{K}{m} \right )^{2}$$
  • $$\left ( \frac{m}{K} \right )^{2}$$
When a spring having spring constant $$2Nm^{-1}$$ is stretched by 5 cm, the energy stored in it is: 
  • 0.025 J
  • 0.0025 J
  • 0.25 J
  • 0.5 J
Two particle execute S H M of same amplitude and frequency along the same straight line, They pass one another going  in opposite direction each time their displacement is half of their amplitude. The phase difference between them is
  • $$0 ^ { \circ }$$
  • $$120 ^ { \circ }$$
  • $$180 ^ { \circ }$$
  • $$135 ^ { \circ }$$
The displacement x of a particle in motion is given in terms of time by x (x - 4) = 1 - 5 $$\cos \omega t$$
  • The particle executes SHM
  • The particle executes oscillatory motion which is not SHM
  • motion of the particle is neither oscillator; nor simple harmonic
  • The particle is not acted upon by a force when it is at x = 4
A particle of mass $$3$$kg, attached to a spring with force constant $$48$$ N/m execute simple harmonic motion on a frictionless horizontal surface. The time period of oscillation of the particle, in seconds, is?
  • $$\dfrac{\pi}{4}$$
  • $$\dfrac{\pi}{2}$$
  • $$2\pi$$
  • $$8\pi$$
  • $$\dfrac{\pi}{8}$$
Function $$x = A \sin ^ { 2 } \omega t + B \cos ^ { 2 } \omega t + C \sin \omega t \cos \omega t$$ represents SHM
  • For any value of A ,B and C (except C=0)
  • $$A = - B , C = 2 B , \text { amplitude } = | B \sqrt { 2 } |$$
  • $$A = B ; C = 0$$
  • $$A = B ; C = 2 B , \text { amplitude } = | B |$$
For a simple pendulum, graph between $$L$$ and $$T$$ will be a :
  • hyperbola
  • parabola
  • straight line
  • a curve line
The phase difference between the displacement and acceleration of particle executing S.H.M. in radian
  • $$\pi/4$$
  • $$\pi/2$$
  • $$\pi$$
  • $$2\pi$$
A particle of mass $$2 kg$$ moves along x - axis with potential energy depending upon 'x' co-ordinate as $$ U_(x) = (x^2 - 2 x ) J$$. The mass is $$2 kg$$ .
  • SHM with period $$\pi$$ second
  • SHM with period $$2 \pi$$ second
  • oscillatory but not SHM
  • SHM with period $$\frac{1}{2\pi}$$ second
The diagram shows a ball hanging on a string. The ball swings from point $$W$$ to point $$Z$$ and back to point $$W$$.
Which statement about the ball is correct?
1647089_2600ba5cf22c4579b636741dbee2f20b.png
  • The kinetic energy of the ball is greatest at point $$W$$
  • The kinetic energy of the ball is greatest at point $$X$$
  • The kinetic energy of the ball is greatest at point $$Y$$
  • The kinetic energy of the ball is the same at all points of the swing
Displacement vs, time curve for a particle executing S.H.M. is shown in Figure. Choose the correct statements.
1795071_5a35b12bd3d549329618b84c4d4b7ea3.png
  • Phase of the oscillator is same at $$t = 0 s$$ and $$t = 2 s$$
  • Phase of the oscillator is same at $$t = 2 s$$ and $$t =6 s$$
  • Phase of the oscillator is same at $$t = 1 s $$ and $$t = 7 s$$
  • Phase of the oscillator is same at $$t =1 s$$ and $$t = 5 s$$.
The motion of a pendulum is
  • rotatory
  • oscillatory
  • curvilinear
  • rectilinear
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