PYQ Vault

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.

  1. Question 1

    25 Apr 2025 S2

    37
    The moment of inertia of a solid sphere of mass ' mm ' and radius ' RR ' about its diametric axis is ' II '. Its moment of inertia about a tangent in the plane is

    Tap an option to check your answer.

  2. Question 2

    13 Apr 2026 S2

    107
    Moment of inertia of a disc of mass MM and radius 'R' about any of its diameter is MR2/4MR^2/4. The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, (x/2)MR2(x/2)MR^2. The value of xx is

    Tap an option to check your answer.

  3. Question 3

    16 Apr 2026 S2

    107
    Solid 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 x\sqrt{x} cm. The value of x is

    Tap an option to check your answer.

  4. Question 4

    17 Apr 2026 S2

    106
    A 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 R3\dfrac{R}{3} from the centre and parallel to that diameter is

    Tap an option to check your answer.

  5. Question 5

    18 Apr 2026 S1

    107
    The 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 is

    Tap an option to check your answer.

  6. Question 6

    19 Apr 2026 S1

    107
    The radius of gyration of a solid sphere of radius 'R' and mass 'M' about its diameter is KdK_d and that about a tangent of a solid sphere is KtK_t. The ratio of KdK_d to KtK_t is

    Tap an option to check your answer.

  7. Question 7

    14 May 2026 S1

    107
    The moment of inertia of a solid sphere about an axis passing through centre of gravity is 2MR25\dfrac{2MR^2}{5} where M is the mass and R is the radius. The radius of gyration about a parallel axis at a distance 2R2R from first axis is

    Tap an option to check your answer.