Solid or hollow sphere about an axis parallel to a diameter (parallel axis theorem)
This type of question, asked 7 times: 25 Apr 2025 S2, 13 Apr 2026 S2, 16 Apr 2026 S2, 17 Apr 2026 S2, 18 Apr 2026 S1, 19 Apr 2026 S1, 14 May 2026 S1. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
25 Apr 2025 S2
37The moment of inertia of a solid sphere of mass ' ' and radius ' ' about its diametric axis is ' '. Its moment of inertia about a tangent in the plane isTap an option to check your answer.
Question 2
13 Apr 2026 S2
107Moment of inertia of a disc of mass and radius 'R' about any of its diameter is . The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, . The value of isTap an option to check your answer.
Question 3
16 Apr 2026 S2
107Solid sphere is rotating about an axis as shown in figure. If the radius of the sphere is 5 cm, then radius of gyration about that axis will be cm. The value of x isTap an option to check your answer.
Question 4
17 Apr 2026 S2
106A solid sphere of radius R and mass M is rotating about its diameter. The moment of intertia of the solid sphere rotating about an axis at a distance from the centre and parallel to that diameter isTap an option to check your answer.
Question 5
18 Apr 2026 S1
107The radius of gyration K of a hollow sphere of mass M and radius R about an axis XY is equal to R as shown in figure. The distance of that axis from the center of the sphere is h. The value of h isTap an option to check your answer.
Question 6
19 Apr 2026 S1
107The radius of gyration of a solid sphere of radius 'R' and mass 'M' about its diameter is and that about a tangent of a solid sphere is . The ratio of to isTap an option to check your answer.
Question 7
14 May 2026 S1
107The moment of inertia of a solid sphere about an axis passing through centre of gravity is where M is the mass and R is the radius. The radius of gyration about a parallel axis at a distance from first axis isTap an option to check your answer.