As per analysis for previous years, it has been observed that students preparing for NEET find Physics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Biology due to their medical background. Furthermore, sections such as Physics are dominantly based on theories, laws, numerical in comparison to a section of Biology which is more of fact-based, life sciences, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.
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**Q1.**Out of the given bodies (of same mass) for which the moment of inertia will be maximum about the axis passing through its centre of gravity and perpendicular to its plane?

Solution

For disc, I=1/2 ma

For disc, I=1/2 ma

^{2}For ring, I=ma^{2}For square of side 2a=M/12 [(2a)^{2}+(2a)^{2}]=2/3 Ma^{2}For square of rod of length 2a I=4[M (2a)^{2}/12+Ma^{2}]=16/3 Ma^{2}Hence, moment of inertia is maximum for square of four rods**Q2.**A ring of mass 10 kg and diameter 0.4 m is rotated about its axis. If it makes 2100 revolutions per minute, then its angular momentum will be?

Solution

I=mr

I=mr

^{2}=10×(0.2)^{2}=0.4kg-m^{2}Ï‰=2Ï€ n=2Ï€×2100/60 rad/s ∴L=IÏ‰=(0.4×2Ï€×210)/6=88kg-m^{2}/s**Q3.**The moment of inertia of a body does not depend upon?

Solution

The angular velocity of the body

The angular velocity of the body

**Q4.**A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is Ï‰. Its centre of mass rises to maximum height of?

**Q5.**A particle is projected with a speed v at 45

^{0}with the horizontal. The magnitude of angular momentum of the projectille about the point of projection when the particle is at its maximum height h is ?

Solution

When a particle is projected with a speed v at 45° with the horizontal then velocity of the projectile at maximum height. v

When a particle is projected with a speed v at 45° with the horizontal then velocity of the projectile at maximum height. v

^{'}=v cos45°=v/√2 Angular momentum of the projectile about the point of projection =mv'h =m v/√2 h=mvh/√2**Q6.**Two rigid bodies A and B rotate with rotational kinetic energies E

_{A}and E

_{B}respectively. The moments of inertia of A and B about the axis of rotation are I

_{A}and I

_{B}respectively. If I

_{A}=I

_{B}/4 and E

_{A}=100 E

_{B}the ratio of angular momentum (L

_{A}) of A to the angular momentum (L

_{B}) of B is?

Solution

Rotational kinetic energy E=L

Rotational kinetic energy E=L

^{2}/2I ∴L=√2EI ⇒L_{A}/L_{B}=√(E_{A}/E_{B}×I_{A}/I_{B})=√(100×1/4)=5 .**Q7.**A 1m long rod has a mass of 0.12 kg. What is the moment of inertia about an axis passing through the centre and perpendicular to the length of rod?

Solution

I= (ML

I= (ML

^{2})/12=(0.12×1^{2})/12=0.01kg-m^{2}**Q8.**ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I

_{AB},I

_{BC},I

_{CA}are the moments of inertia of the plate about AB,BC,CA respectively. Which one of the following relations is correct?

Solution

Distribution of mass about BC axis is more than that about AB axis, i.e. radius of gyration about BC axis is more than that about AB axis i.e.K

Distribution of mass about BC axis is more than that about AB axis, i.e. radius of gyration about BC axis is more than that about AB axis i.e.K

_{BC}>K_{AB}∴I_{BC}>I_{AB}>I_{CA}**Q9.**A circular turn table has a block of ice placed at its centre. The system rotates with an angular speed Ï‰ 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?

Solution

Melting of ice produces water which will spread over larger distance away from the axis of rotation. This increases the moment of inertia so angular velocity decreases

Melting of ice produces water which will spread over larger distance away from the axis of rotation. This increases the moment of inertia so angular velocity decreases

**Q10.**A loded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation Î¸. The gun was initially at rest on a horizontal frictionless surface. After firing, the centre of mass of gun-shot system ?

Solution

Since gun-shot system is an isolated closed system, its centre of mass must remain at rest.

Since gun-shot system is an isolated closed system, its centre of mass must remain at rest.