NEETPhysicsRotational Motion
Match the following columns ( R = radius, k = Radius of gyration ) ( array |l|l|l|l| & Column I & & Column II (A) & array l ' k ' for a solid sphere rotating about its tangent array & (P) & 2 R (B) & array l ' k ' for a ring rotating about its tangent perpendicular to its plane array & (Q) & R 2 (C) & array l ' k ' for a uniform solid right circular cone rotating about its central axis array & (R) & 7 5 R (D) & array
Options
- A( A )-( p ) ;( B )-( R ) ;( C )-( Q ) ;( D )-( s )
- B( A )-( p ) ;( B )-( Q ) ;( C )-( s ) ;( D )-( P )
- C( A )-( Q ) ;( B )-( R ) ;( C )-( p ) ;( D )-( S )
- D( A )-( R ) ;( B )-( P ) ;( C )-( S ) ;( D )-( Q )
Correct answer
D. ( A )-( R ) ;( B )-( P ) ;( C )-( S ) ;( D )-( Q )
Step-by-step solution
Relationship between radius of gyration and the moment of inertia about an axis is as follows: I = mk ^2 Summary for the different cases is listed below: ( array |c|c|c| Case & Moment of inertia & array l Radius of gyration array array l Solid sphere rotating about its tangent array & array l I = 2 5 mR ^2+ mR ^2 Using parallel axis theorem. array & 7 5 R array l Ring rotating about its tangent perpendicular to its plane array & array l I = mR ^2+ mR ^2 Using parallel axis theorem. array & 2 R array l Uniform solid