CBSE Questions for Class 11 Engineering Physics Motion In A Plane Quiz 1 - MCQExams.com

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 :
  • $$\displaystyle \pi\dfrac{\mathrm{v}^{2}}{\mathrm{g}}$$
  • $$\displaystyle \pi\dfrac{\mathrm{v}^{4}}{\mathrm{g}^{2}}$$
  • $$\displaystyle \dfrac{\pi \mathrm{v}^{4}}{2\mathrm{g}^{2}}$$
  • $$\displaystyle \pi\dfrac{\mathrm{v}^{2}}{\mathrm{g}^{2}}$$.
A particle starts from the origin at $$t=0$$ with an initial velocity of $$3.0\ \hat i\ m/s$$ and moves in the $$x-y$$ plane with a constant acceleration $$(6.0\ \hat i +4.0\ \hat j) m/s^2$$. The $$x-$$coordinates of the particle at the instant when its $$y-$$coordinates is $$32\ m$$ is $$D$$ meters. The value of $$D$$ is:
  • $$50$$
  • $$60$$
  • $$40$$
  • $$32$$
For a particle in uniform circular motion the acceleration $$\vec{\mathrm{a}}$$ at a point $$\mathrm{P}(\mathrm{R}, \theta)$$ on the circle of radius $$\mathrm{R}$$ is (here 'v' is the speed of the particle and $$\theta$$ is measured from the x-axis) 
  • $$-\displaystyle \frac{\mathrm{v}^{2}}{\mathrm{R}}\cos\theta\hat{\mathrm{i}}+\frac{\mathrm{v}^{2}}{\mathrm{R}}\sin\theta\hat{j}$$
  • $$-\displaystyle \frac{\mathrm{v}^{2}}{\mathrm{R}}\sin\theta\hat{\mathrm{i}}+\frac{\mathrm{v}^{2}}{\mathrm{R}}\cos\theta\hat{j}$$
  • $$-\displaystyle \frac{\mathrm{v}^{2}}{\mathrm{R}}\cos\theta\hat{\mathrm{i}}-\frac{\mathrm{v}^{2}}{\mathrm{R}}\sin\theta\hat{j}$$
  • $$\displaystyle \frac{\mathrm{v}^{2}}{\mathrm{R}}\hat{\mathrm{i}}+\frac{\mathrm{v}^{2}}{\mathrm{R}}\hat{j}$$
A uniform circular disc of radius $$50\  cm$$ at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of $$2.0\  rad {s}^{-2}$$. Its net acceleration in  $${ms}^{-2}$$ at the end of $$2.0 \ s$$ is approximately:
  • $$8.0$$
  • $$7.0$$
  • $$6.0$$
  • $$3.0$$
The position vector of a particle $$\overrightarrow { R} $$ as a function of time is given by:
$$\overrightarrow { R}  = 4\, sin(2\pi t)\hat{i}+4 cos (2\pi t)\hat{j}$$,
where $$R$$ is in meters, $$t$$ is in seconds and $$\hat{i}$$ and $$\hat{j}$$ denote unit vectors along x-and y- directions, respectively. Which one of the following statements is wrong for the motion of particle?
  • Path of the particle is a circle of radius $$4\ m$$
  • Acceleration vector is along $$-\overrightarrow { R} $$.
  • Magnitude of acceleration vector is $$\displaystyle \frac{v^2}{R}$$, where $$v$$ is the velocity of particle.
  • Magnitude of the velocity of particle is $$8\ m/s$$
The angular displacement of a particle is given by $$\theta =t^{3}+t^{2}+t+1$$ then, its angular velocity at $$t = 2$$ sec is _____ $$rads^{-1}$$ :
  • $$27$$
  • $$17$$
  • $$15$$
  • $$6$$

The pair containing a scalar and a vector quantity is:
  • impulse and angular momentum
  • work and frequency
  • electromotive force and force
  • current density and current

Which of the following is a scalar quantity?
  • Displacement
  • Electric field
  • Acceleration
  • Work
 (1) In uniform circular motion, tangential acceleration is zero.
 (2) In uniform circular motion, velocity is constant.
  • Both 1 and 2 are true and 2 is correct explanation of 1
  • Both 1 and 2 are true and 2 is not correct explanation of 1
  • 1 is true and 2 is false
  • 1 is false and 2 is true
  • 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
Starting from rest the fly wheel of a motor attains an angular velocity of $$60 rad/s$$ in $$5\ s$$, the angular acceleration of the fly wheel is:
  • $$6\ rad/s^{2}$$
  • $$12\ rad/s^{2}$$
  • $$300\ rad/s^{2}$$
  • $$150\ rad/s^{2}$$
(1) : In uniform circular motion the kinetic energy of the body is constant.
 (2) : In uniform circular motion the tangential force is zero.
  • Both 1 and 2 are true and 2 is correct explanation of 1
  • Both 1 and 2 are true and 2 is not correct explanation of 1
  • 1 is true and 2 is false
  • 1 is false and 2 is true
A stationary wheel starts rotating about its own axis at uniform angular acceleration $$ 8\ rad / s^{2}$$ . The time taken by it to complete $$77$$ rotations is:
  • $$5.5\ s$$
  • $$7\ s$$
  • $$11\ s$$
  • $$14\ s$$
The horizontal component of weight:
  • is always zero
  • is always equal to the weight
  • is less than the weight, but is not zero
  • depends on the angle of longitude
The set containing only vector quantities is:
  • Thermal Capacity, Magnetic susceptibility and Electric charge
  • Magnetic moment, Electric field intensity and Torque
  • Magnetic flux, Electric potential and Force
  • Magnetic induction, Electric capacitance and Impulse

Which of the following units could be associated with a scalar quantity?
  • $$Nm^{-1}$$
  • $$Nms^{-1}$$
  • $$kgms^{-2}$$
  • $$Ns$$

Which one is the pseudo vector in the given options ?
  • Linear momentum
  • Angular momentum
  • Force
  • All the above
Which of the following is a vector?
  • Displacement
  • Density
  • Volume
  • Temperature

The set containing only scalar quantities is:
  • velocity, specific heat and latent heat
  • electric intensity, electric potential and electric capacity
  • pole strength, permeability and permittivity
  • torque, angular acceleration and linear momentum

Which of the following units could be associated with a scalar quantity?
  • Nm$$^{-2}$$
  •  ms$$^{-1}$$
  • kg ms$$^{-2}$$
  • rad s$$^{-2}$$
Which one is polar vector in the given options ?
  • Acceleration
  • Moment of inertia
  • Angular momentum
  • Velocity
Which of the following is not a vector ?
  • Linear momentum
  • Electric field intensity
  • Kinetic energy
  • Acceleration

Angular momentum is:
  • a scalar
  • a polar vector
  • an axial vector
  • not a physical quantity

Which one of the following is a scalar quantity?
  • Momentum
  • Electric charge
  • Shearing force
  • Displacement
In the following V-t graphs, identify the graph that represents a body moving with uniform velocity and then with uniform retardation until it stops.
Identify the scalar quantity in the given options:
  • work
  • impulse
  • force
  • acceleration

Which of the following quantities is a scalar?
  • magnetic moment
  • acceleration due to gravity
  • electric field
  • electrostatic potential
A body moving along a circular path will have :
  • a constant speed
  • a constant velocity
  • no tangential velocity
  • a radial acceleration
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.
  • Yes, Uniform Circular Motion.
  • Yes, Non-Uniform Circular Motion.
  • Yes, Uniform Linear Motion
  • No

I started walking down a road to day-break facing the sun. After walking for some time, I turned to my left then I turned to the right once again. In which direction was I going?
  • northeast
  • south
  • east
  • northwest
If the position vectors of the points $$A, B, C, D$$ are$$(0,2, 1)$$, $$(3,1,1),$$ $$(-5,3,2)$$,$$(2,4,1)$$ respectively and if $$PA+PB+PC+PD=0$$ then the position vector of P is
  • $$(0,\displaystyle \dfrac{5}{2},\dfrac{5}{4})$$
  • $$(\dfrac{5}{2},\dfrac{5}{2},\dfrac{5}{4})$$
  • $$(\displaystyle \dfrac{5}{2},0,\dfrac{5}{4})$$
  • $$(\displaystyle \dfrac{5}{2},\dfrac{5}{4},0)$$
Which of the following is not a vector quantity?
  • Retardation
  • Acceleration due to gravity
  • Average speed
  • Displacement
Which of the following changes when a particle is moving with uniform velocity?
  • Speed
  • Velocity
  • Acceleration
  • Position vector
SI unit of the angular velocity is
  • m/s
  • rad
  • rad/s
  • m/rad
Which of the following is not a vector quantity?
  • retardation
  • acceleration due to gravity
  • average speed
  • displacement
A wheel is rotating at $$900\space r.p.m,$$ about its axis. When power is cut off it comes to rest in $$1\space minute$$. The angular retardation in $$rad/s^2$$ is:
  • $$\pi/2$$
  • $$\pi/4$$
  • $$\pi/6$$
  • $$\pi/8$$
Pressure is a $$\underline{               }$$ quantity 
  • scalar
  • vector
  • tensor
  • cant say
Projectile motion is a 3-dimensional motion
Projectile motion (at low speeds) is uniformly accelerated motion. 
  • True
  • False
State whether given statement is True or False.
Projectile motion is a 3-dimensional motion. 
  • True
  • False
Under what conditions the formulae of range, time of flight and maximum height can be applied directly in case of a projectile motion?
  • Between two points lying on the same horizontal line.
  • Between two points lying on the same vertical line.
  • Can be applied for any case
  • None of the above
Which of the following quantity remains constant in a uniform circular motion?
  • velocity
  • speed
  • acceleration
  • both velocity and speed
At the top of the trajectory of a projectile, the acceleration is :
  • Maximum
  • Minimum
  • Zero
  • $$g$$
If air resistance is not considered in projectiles, the horizontal motion takes place with :
  • Constant velocity
  • Constant acceleration
  • Constant retardation
  • Variable velocity
At the uppermost point of a projectile its velocity and acceleration are at an angle of :
  • $$180^o$$
  • $$90^o$$
  • $$60^o$$
  • $$45^o$$
Name a physical quantity that remains constant in a uniform circular motion.
  • Velocity
  • Acceleration
  • Momentum
  • Angular speed
A marble is dropped vertically, Another identical marble $$B$$ is projected horizontally from the same point at the same instant :
  • $$A$$ will reach the ground earlier than $$B$$
  • $$B$$ will reach the ground earlier than $$A$$
  • Both $$A$$ and $$B$$ will reach the ground at the same instant
  • None of the above
State whether given statement is True or False.
Scalar has both magnitude and direction. 
  • True
  • False
A ball is projected upwards. Its acceleration at the highest point is :
  • zero
  • directed upwards
  • directed downwards
  • such as cannot be predicted
If in a wrench either the force or the couple of the wrench is zero, then wrench is called
  • null wrench
  • degenerate wrench
  • non-degenerate wrench
  • central wrench
During projectile motion, acceleration of a particle at the highest point of its trajectory is:
  • g
  • zero
  • less than g
  • dependent upon projection velocity
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