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NEET • PHYSICS • SYSTEM OF PARTICLES

System of particles practice · Medium

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Showing 1-30 of 157 questions
1 Medium
1 of 157
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
Mr2M{r^2}
Option D (Mr2M{r^2}) is correct because the moment of inertia of a hollow cylinder about its own axis is given by Mr2M{r^2}.
2 Medium
2 of 157
Understanding +4 | -1
Two particles of mass m1{m_1} and m2 (m1>m2){m_2}\,({m_1} > {m_2}) 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 157
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 rads−2\mathrm{rad}{\mathrm{s}^{ - 2}} is
View answer and explanation
Correct option: A
200 π\pi
Option A (200π) is correct because angular retardation is the change in angular velocity divided by the time interval.
4 Medium
4 of 157
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)
View answer and explanation
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 157
Application +4 | -1
A particle of mass mm is projected with a velocity 'uu' making an angle of 30∘30^{\circ} with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height hh is:
View answer and explanation
Correct option: C
316mu3g\frac{\sqrt{3}}{16} \frac{m u^3}{g}
Option C (316mu3g\frac{\sqrt{3}}{16} \frac{m u^3}{g}) is correct because it is the correct calculation of angular momentum at the maximum height.
6 Medium
6 of 157
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 157
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
27\frac{2}{7}
Option C (27\frac{2}{7}) is correct. The fraction of rotational kinetic energy is derived from the moment of inertia of a solid sphere.
8 Medium
8 of 157
Understanding +4 | -1
Where will be the centre of mass on combining two masses m and M (M>m)\mathrm{(M > m)}
View answer and explanation
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.
9 Medium
9 of 157
Remembering +4 | -1
What is the angular velocity of earth
View answer and explanation
Correct option: A
2π86400  rad/sec\frac{{2\pi }}{{86400}}\;rad/sec
Option A (2π86400  rad/sec\frac{{2\pi }}{{86400}}\;rad/sec) is correct because it represents the angular displacement (2π\pi radians) divided by the time for one rotation (86400 seconds).
10 Medium
10 of 157
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.
11 Medium
11 of 157
Understanding +4 | -1
In rotational motion of a rigid body about an axis, particles move with:
View answer and explanation
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.
12 Medium
12 of 157
Understanding +4 | -1
A cylinder full. Of water, is rotating about its own axis with uniform angular velocity ω\omega. 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.
13 Medium
13 of 157
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
View answer and explanation
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.
14 Medium
14 of 157
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).
15 Medium
15 of 157
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 g=10  ms−2\mathrm{g} = 10\mathrm{\;m}{\mathrm{s}^{ - 2}})
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 2mgR2mgR.

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UNITS & MEASUREMENTS 392 MCQs WORK-ENERGY-POWER 355 MCQs MECHANICAL PROPERTIES OF FLUIDS 317 MCQs MOTION IN PLANE 307 MCQs MAGNETIC EFFECT OF CURRENT 282 MCQs THERMAL PROPERTIES OF MATTER 269 MCQs
16 Medium
16 of 157
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
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.
17 Medium
17 of 157
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, L=IωL = I\omega.
18 Medium
18 of 157
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.
19 Medium
19 of 157
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 / min⁡2{\min ^2} ⁡is
View answer and explanation
Correct option: D
200 π\pi
Option D (200 π) is correct because angular retardation is the change in angular velocity divided by the time interval.
20 Medium
20 of 157
Remembering +4 | -1
Angular momentum LL of body with mass moment of inertia II and angular velocity ω\omega rad / sec is equal to
View answer and explanation
Correct option: C
IωI\omega
Option C (IωI\omega) is correct because angular momentum is the product of moment of inertia and angular velocity.
21 Medium
21 of 157
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.
22 Medium
22 of 157
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
(−3,−3,−3)\left( { - 3, - 3, - 3} \right)
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).
23 Medium
23 of 157
Understanding +4 | -1
In uniform circular motion
View answer and explanation
Correct option: C
Both the angular velocity and the angular momentum stay constant
Option C (Both the angular velocity and the angular momentum stay constant) is correct because in uniform circular motion, both the magnitude and direction of angular velocity and angular momentum are constant.
24 Medium
24 of 157
Understanding +4 | -1
A body moves with constant angular velocity on a circle. Magnitude of angular acceleration
View answer and explanation
Correct option: C
Zero
Option C (Zero) is correct because constant angular velocity implies no change in angular velocity, hence zero angular acceleration.
25 Medium
25 of 157
Remembering +4 | -1
A spherical shell has mass MM and radius RR. Moment of inertia about its diameter will be
View answer and explanation
Correct option: B
23MR2\frac{2}{3}M{R^2}
Option B (2/3 MR²) is correct because the moment of inertia of a spherical shell about its diameter is 2/3 MR².
26 Medium
26 of 157
Understanding +4 | -1
A circular turn table has a block of ice placed at its centre. The system rotates with an angular speed ω\omega about an axis passing through the centre of the table. If the ice melts on its own without any evaporation, the speed of rotation of the system
View answer and explanation
Correct option: D
Decreases to a value less than ω\omega
Option D (Decreases to a value less than ω\omega) is correct because the moment of inertia increases when the ice melts, and angular momentum is conserved.
27 Medium
27 of 157
Understanding +4 | -1
If a hollow cylinder and a solid cylinder are allowed to roll down an inclined plane, which will take more time to reach the bottom
View answer and explanation
Correct option: A
Hollow cylinder
Option A (Hollow cylinder) is correct because the hollow cylinder has a higher moment of inertia, resulting in a slower acceleration down the incline.
28 Medium
28 of 157
Analyzing +4 | -1
The moment of inertia of a uniform cylinder of length ll and radius RR about its perpendicular bisector is II. What is the ratio l/Rl/R such that the moment of inertia is minimum?
View answer and explanation
Correct option: D
32\sqrt {\frac{3}{2}}
Option D (32\sqrt {\frac{3}{2}}) is correct because it represents the ratio l/R that minimizes the moment of inertia of a cylinder about its perpendicular bisector.
29 Medium
29 of 157
Understanding +4 | -1
The ratio of angular speeds of minute hand and hour hand of a watch is
View answer and explanation
Correct option: C
12:112:1
Option C (12:112:1) is correct because the minute hand completes one rotation in 60 minutes, while the hour hand completes one rotation in 12 hours.
30 Medium
30 of 157
Analyzing +4 | -1
STATEMENT-1 : Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.

STATEMENT-2 : By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.
View answer and explanation
Correct option: D
Statement - 1 is False, Statement-2 is True
Statement-1 is False, and Statement-2 is True. The solid cylinder reaches the bottom first because it has a lower moment of inertia. The total kinetic energies are the same due to conservation of energy.
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