PYQ Vault

Moment of inertia of a wire bent into a circular loop or ring

This type of question, asked 5 times: 12 May 2024 S2, 21 Apr 2025 S2, 26 Apr 2025 S1, 13 May 2026 S1, 13 May 2026 S2. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    12 May 2024 S2

    36
    A thin wire of length 'LL' and uniform linear mass density 'mm' is bent into a circular coil. The moment of inertia of this coil about tangential axis and the plane of the coil is

    Tap an option to check your answer.

  2. Question 2

    21 Apr 2025 S2

    41
    Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its center is 'I'. If the same rod is bent in the form of ring, its moment of inertia about the diameter is ' I1I_{1} '. If I1=xII_{1}=xI, then the value of ' xx ' is

    Tap an option to check your answer.

  3. Question 3

    26 Apr 2025 S1

    41
    Moment of inertia of the rod about an axis passing through the center and perpendicular to its length is ' I1I_{1} '. The same rod is bent into a ring and its moment of inertia about the diameter is ' I2I_{2} '. Then I1/I2I_{1}/I_{2} is

    Tap an option to check your answer.

  4. Question 4

    13 May 2026 S1

    107
    Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is I. If the same rod is bent in to a ring and its moment of inertia about its diameter is I1I_1, then the ratio I/I1I/I_1 is

    Tap an option to check your answer.

  5. Question 5

    13 May 2026 S2

    106
    A thin wire of length LL and uniform linear mass density ρ\rho is bent into a circular loop with centre at 'OO' as shown in figure. The moment of inertia of the loop about the axis XX′XX' is

    Tap an option to check your answer.