JEE Main202528 Jan 2025Morning ShiftPhysicsRotational MotionActual
The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of inertia of a ring rotating in similar way. The moment of inertia of a solid sphere which has same radius as the disc and rotating in similar way, is n times higher than the moment of inertia of the given ring. Here, n = _________ Consider all the bodies have equal masses.
Correct answer
0
Step-by-step solution
I ₁= MR ₁^2 4 , I ₂= MR ₂^2 2 , I ₃= 2 MR ₁^2 5 According to problem I ₁ I ₂ =2.5 MR ₁^2 4 MR ₂^2 2 = 5 2 R ₁^2 R ₂^2 =5 Now we are provided with information that aligned & I ₃ I ₂ = n & 2 MR ₁^2 5 MR ₂^2 2 = n 4 R ₁^2 5 R ₂^2 = n aligned From Eq', (1) and (2) n=4