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NEET • PHYSICS • SYSTEM OF PARTICLES
System of particles practice · Mixed difficulty
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Showing 1-30 of 239 questions
1
Medium
1 of 239
Remembering
+4 | -1
Moment of inertia of a hollow cylinder of mass M and radius r about its own axis is
View answer and explanation
Correct option: D
Option D () is correct because the moment of inertia of a hollow cylinder about its own axis is given by .
2
Medium
2 of 239
Understanding
+4 | -1
Two particles of mass and attract each other with a force inversely proportional to the square of the distance between them. If the particles are initially held at rest and then released, the centre of mass will
View answer and explanation
Correct option: C
remains at rest
Option C is correct. Since the particles are initially at rest and attract each other due to internal forces, there is no external force acting on the system. Therefore, the center of mass remains at rest.
3
Medium
3 of 239
Application
+4 | -1
The wheel of toy car rotates about axis. It slows down from 400 rps to 200 rps in 2s. Then its angular retardation in is
View answer and explanation
Correct option: A
200
Option A (200π) is correct because angular retardation is the change in angular velocity divided by the time interval.
4
Medium
4 of 239
Application
+4 | -1
When a ceiling fan is switched on, it makes 10 rotations in the first 4 s. How many rotations will it make in the next 4 s? (Assuming uniform angular acceleration)
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Correct option: D
30
Option D (30) is correct because the number of rotations in the next 4 seconds is calculated using the equations of rotational motion with uniform angular acceleration.
5
Medium
5 of 239
Application
+4 | -1
A particle of mass is projected with a velocity '' making an angle of with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height is:
View answer and explanation
Correct option: C
Option C () is correct because it is the correct calculation of angular momentum at the maximum height.
6
Medium
6 of 239
Remembering
+4 | -1
The time period of the second’s hand of a watch is
View answer and explanation
Correct option: D
1 min
Option D (1 min) is correct because the second's hand completes one full rotation in one minute.
7
Medium
7 of 239
Application
+4 | -1
A solid sphere is under pure rolling on a table. The fraction of its total kinetic energy associated with rotation is
View answer and explanation
Correct option: C
Option C () is correct. The fraction of rotational kinetic energy is derived from the moment of inertia of a solid sphere.
8
Easy
8 of 239
Application
+4 | -1
The time dependence of the position of a particle of mass m = 4 kg is given by . Its angular momentum, with respect to the origin, at time is
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Correct option: C
Option C (-96 k) is correct because it is the result of calculating the angular momentum using the given position and mass.
9
Medium
9 of 239
Understanding
+4 | -1
Where will be the centre of mass on combining two masses m and M
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Correct option: D
anywhere
Option B (Towards M) is incorrect. The correct answer is between m and M. The centre of mass will always lie between the two masses, but closer to the larger mass M.
10
Medium
10 of 239
Remembering
+4 | -1
What is the angular velocity of earth
View answer and explanation
Correct option: A
Option A () is correct because it represents the angular displacement (2 radians) divided by the time for one rotation (86400 seconds).
11
Easy
11 of 239
Application
+4 | -1
Density remains constant, if earth contracts to one fourth of its present radius, duration of the day would be [in minutes]
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Correct option: A
min
Option A ( min) is correct because the duration of the day is inversely proportional to the square of the radius when density is constant.
12
Medium
12 of 239
Understanding
+4 | -1
Choose the correct statement about the centre of mass (CM) of a system of two particles
View answer and explanation
Correct option: B
The CM lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particle
Option B is correct because the distance of the center of mass from each particle is inversely proportional to the mass of that particle.
13
Medium
13 of 239
Understanding
+4 | -1
In rotational motion of a rigid body about an axis, particles move with:
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Correct option: C
Different linear but same angular velocity
Option C (Different linear but same angular velocity) is correct because in rigid body rotation, all particles share the same angular velocity, but their linear velocities depend on their distance from the axis of rotation.
14
Medium
14 of 239
Understanding
+4 | -1
A cylinder full. Of water, is rotating about its own axis with uniform angular velocity . The shape of free surface of water will be
View answer and explanation
Correct option: A
Parabola
Option A (Parabola) is correct. When a cylinder filled with water rotates, the free surface forms a parabola due to the balance between gravity and centrifugal force.
15
Medium
15 of 239
Analyzing
+4 | -1
An ant is sitting at the edge of a rotating disc. If the ant reaches the other end, after moving along the diameter, the angular velocity of the disc will
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Correct option: C
First increases and then decreases
Option B (First decreases and then increases) is correct because as the ant moves towards the center, the moment of inertia of the system decreases, causing the angular velocity to increase. As the ant moves away from the center, the moment of inertia increases, causing the angular velocity to decrease.
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16
Medium
16 of 239
Understanding
+4 | -1
If the torque of the rotational motion be zero, then the constant quantity will be
View answer and explanation
Correct option: A
Angular momentum
Option A (Angular momentum) is correct because if the net torque is zero, the angular momentum is conserved (constant).
17
Hard
17 of 239
Application
+4 | -1
A sphere rolls without slipping on an inclined plane of inclination . Then the minimum value of coefficient of friction so that the sphere rolls with out slipping is
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Correct option: A
Option A () is correct because it represents the minimum coefficient of friction required for a sphere to roll without slipping on an inclined plane.
18
Easy
18 of 239
Understanding
+4 | -1
For a system of two point masses and (where ), centre of mass lies
View answer and explanation
Correct option: C
Nearer to the heavier one
Option C (Nearer to the heavier one) is correct because the center of mass is always closer to the more massive object in a two-body system.
19
Medium
19 of 239
Application
+4 | -1
A body of mass 1 kg is rotating in a vertical circle of radius 1m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take )
View answer and explanation
Correct option: B
20 J
Option B (20 J) is correct because the difference in kinetic energy between the top and bottom of the circle is equal to the change in potential energy, which is .
20
Easy
20 of 239
Application
+4 | -1
A dancer spins about a vertical axis at 60 rpm with her arms folded. If she stretches her hands so that M.I about the vertical axes increases by 25% the new rate of revolution is
View answer and explanation
Correct option: A
48 rpm
Option A (48 rpm) is correct because it is calculated using the conservation of angular momentum, , where .
21
Medium
21 of 239
Understanding
+4 | -1
a) Algebraic sum of moments of masses about centre of mass is zero
b) For small bodies centre of mass coincides with centre of gravity
c) Position of centre of mass depends on co-ordinate system
d) Position of centre of mass is independent of mass distribution
b) For small bodies centre of mass coincides with centre of gravity
c) Position of centre of mass depends on co-ordinate system
d) Position of centre of mass is independent of mass distribution
View answer and explanation
Correct option: A
a and b are correct
Option A (a and b are correct) is correct because the algebraic sum of moments of masses about the center of mass is zero, and for small bodies, the center of mass and center of gravity coincide.
22
Medium
22 of 239
Remembering
+4 | -1
Angular momentum of a body is defined as the product of
View answer and explanation
Correct option: D
Moment of inertia and angular velocity
Option D (Moment of inertia and angular velocity) is correct because angular momentum is defined as the product of the moment of inertia and the angular velocity, .
23
Medium
23 of 239
Understanding
+4 | -1
Before jumping in water from above a swimmer bends his body to
View answer and explanation
Correct option: B
Decrease moment of inertia
Option B (Decrease moment of inertia) is correct because by bending the body, the swimmer reduces their moment of inertia, which increases their angular velocity due to the conservation of angular momentum.
24
Medium
24 of 239
Application
+4 | -1
A fly wheel rotates about a fixed axis and slows down from 300 rpm to 100 rpm in 2 min. Then its angular retardation in rad / is
View answer and explanation
Correct option: D
200
Option D (200 π) is correct because angular retardation is the change in angular velocity divided by the time interval.
25
Medium
25 of 239
Remembering
+4 | -1
Angular momentum of body with mass moment of inertia and angular velocity rad / sec is equal to
View answer and explanation
Correct option: C
Option C () is correct because angular momentum is the product of moment of inertia and angular velocity.
26
Medium
26 of 239
Analyzing
+4 | -1
Four Point masses P, Q, R and S with respective masses 1kg, 1kg, 2 kg and 2 kg form the corners of a square of side a. The centre of mass of the system will be farthest from
View answer and explanation
Correct option: D
P and Q
Option B (R and S) is correct because the center of mass is closer to the heavier masses, R and S.
27
Medium
27 of 239
Application
+4 | -1
The centre of mass of three particles of masses 1 kg, 2kg and 3kg is at (2, 2, 2). The position of the fourth mass of 4 kg to be places in the system as that the new centre of mass is at (0, 0, 0) is
View answer and explanation
Correct option: A
Option A ((-3, -3, -3)) is correct because the position of the fourth mass is calculated using the center of mass formula to achieve a new center of mass at (0, 0, 0).
28
Easy
28 of 239
Application
+4 | -1
If an angular momentum of a body of fixed M.I. increases by , its kinetic energy of rotation increases by:
View answer and explanation
Correct option: D
Option D () is correct because the kinetic energy of rotation is proportional to the square of the angular momentum, so a 50% increase in angular momentum results in a 125% increase in kinetic energy.
29
Easy
29 of 239
Application
+4 | -1
A ring of mass 5 kg and radius 0.2 m is rotated about its axis and its angular speed is 10 rad/sec, then its angular momentum is
View answer and explanation
Correct option: D
2
Option D (2) is correct because it is the angular momentum calculated using the formula L = Iω, where I is the moment of inertia of a ring and ω is the angular speed.
30
Easy
30 of 239
Application
+4 | -1
Three masses are placed on the x-axis 300 g at origin, 500 g at x=40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is
View answer and explanation
Correct option: A
40 cm
Option A (40 cm) is correct because the distance of the center of mass from the origin is calculated using the formula .
Revision notes and key takeaways
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Key Takeaways
- ✓ This set contains 239 single-correct-answer MCQs on SYSTEM OF PARTICLES.
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