03. Moment of Inertia, Radius of Gyration
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

150097 A solid sphere of radius \(R\) has its outer half removed, so that its radius becomes \((R / 2\). Then its moment of inertia about the diameter is

1 becomes \(\frac{1}{2}\) of its initial volume
2 is unchanged.
3 becomes \(\frac{1}{16}\) of initial volume.
4 becomes \(\frac{1}{32}\) of initial volume.
Rotational Motion

150098 Match List-I With List-II
| | List-I | | List-II |
| :--- | :--- | :--- | :--- |
| A. | Moment of inertia of solid sphere of radius R about any tangent | $\frac{5}{3} \mathrm{MR}^2$ | |
| B. | Moment of inertia of hollow sphere of radius (R) about any tangent. | II. | $\frac{7}{5} \mathrm{MR}^2$ |
| C. | Moment of inertia of circular ring of radius (R) about its diameter. | $\frac{1}{4} \mathrm{MR}^2$ | |
| D. | Moment of inertia of circular disc of radius (R) about any diameter. | IV. | $\frac{1}{2} \mathrm{MR}^2$ |
Choose the correct answer from the options given below.

1 A-II, B-I, C-IV, D-III
2 A-I, B-II, C-IV, D-III
3 A-II, B-I, C-III, D-IV
4 A-I, B-II, C-III, D-IV
Rotational Motion

150099 An energy of \(484 J\) is spent in increasing the speed of a flywheel from \(60 \mathrm{rpm}\) to \(360 \mathrm{rpm}\). The moment of inertia of the flywheel is:

1 \(0.7 \mathrm{~kg}-\mathrm{m}^{2}\)
2 \(3.22 \mathrm{~kg}-\mathrm{m}^{2}\)
3 \(30.8 \mathrm{~kg}-\mathrm{m}^{2}\)
4 \(0.07 \mathrm{~kg}-\mathrm{m}^{2}\)
Rotational Motion

150100 The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

1 \(4: 1\)
2 \(1: \sqrt{2}\)
3 \(2: 1\)
4 \(\sqrt{2}: 1\)
Rotational Motion

150097 A solid sphere of radius \(R\) has its outer half removed, so that its radius becomes \((R / 2\). Then its moment of inertia about the diameter is

1 becomes \(\frac{1}{2}\) of its initial volume
2 is unchanged.
3 becomes \(\frac{1}{16}\) of initial volume.
4 becomes \(\frac{1}{32}\) of initial volume.
Rotational Motion

150098 Match List-I With List-II
| | List-I | | List-II |
| :--- | :--- | :--- | :--- |
| A. | Moment of inertia of solid sphere of radius R about any tangent | $\frac{5}{3} \mathrm{MR}^2$ | |
| B. | Moment of inertia of hollow sphere of radius (R) about any tangent. | II. | $\frac{7}{5} \mathrm{MR}^2$ |
| C. | Moment of inertia of circular ring of radius (R) about its diameter. | $\frac{1}{4} \mathrm{MR}^2$ | |
| D. | Moment of inertia of circular disc of radius (R) about any diameter. | IV. | $\frac{1}{2} \mathrm{MR}^2$ |
Choose the correct answer from the options given below.

1 A-II, B-I, C-IV, D-III
2 A-I, B-II, C-IV, D-III
3 A-II, B-I, C-III, D-IV
4 A-I, B-II, C-III, D-IV
Rotational Motion

150099 An energy of \(484 J\) is spent in increasing the speed of a flywheel from \(60 \mathrm{rpm}\) to \(360 \mathrm{rpm}\). The moment of inertia of the flywheel is:

1 \(0.7 \mathrm{~kg}-\mathrm{m}^{2}\)
2 \(3.22 \mathrm{~kg}-\mathrm{m}^{2}\)
3 \(30.8 \mathrm{~kg}-\mathrm{m}^{2}\)
4 \(0.07 \mathrm{~kg}-\mathrm{m}^{2}\)
Rotational Motion

150100 The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

1 \(4: 1\)
2 \(1: \sqrt{2}\)
3 \(2: 1\)
4 \(\sqrt{2}: 1\)
Rotational Motion

150097 A solid sphere of radius \(R\) has its outer half removed, so that its radius becomes \((R / 2\). Then its moment of inertia about the diameter is

1 becomes \(\frac{1}{2}\) of its initial volume
2 is unchanged.
3 becomes \(\frac{1}{16}\) of initial volume.
4 becomes \(\frac{1}{32}\) of initial volume.
Rotational Motion

150098 Match List-I With List-II
| | List-I | | List-II |
| :--- | :--- | :--- | :--- |
| A. | Moment of inertia of solid sphere of radius R about any tangent | $\frac{5}{3} \mathrm{MR}^2$ | |
| B. | Moment of inertia of hollow sphere of radius (R) about any tangent. | II. | $\frac{7}{5} \mathrm{MR}^2$ |
| C. | Moment of inertia of circular ring of radius (R) about its diameter. | $\frac{1}{4} \mathrm{MR}^2$ | |
| D. | Moment of inertia of circular disc of radius (R) about any diameter. | IV. | $\frac{1}{2} \mathrm{MR}^2$ |
Choose the correct answer from the options given below.

1 A-II, B-I, C-IV, D-III
2 A-I, B-II, C-IV, D-III
3 A-II, B-I, C-III, D-IV
4 A-I, B-II, C-III, D-IV
Rotational Motion

150099 An energy of \(484 J\) is spent in increasing the speed of a flywheel from \(60 \mathrm{rpm}\) to \(360 \mathrm{rpm}\). The moment of inertia of the flywheel is:

1 \(0.7 \mathrm{~kg}-\mathrm{m}^{2}\)
2 \(3.22 \mathrm{~kg}-\mathrm{m}^{2}\)
3 \(30.8 \mathrm{~kg}-\mathrm{m}^{2}\)
4 \(0.07 \mathrm{~kg}-\mathrm{m}^{2}\)
Rotational Motion

150100 The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

1 \(4: 1\)
2 \(1: \sqrt{2}\)
3 \(2: 1\)
4 \(\sqrt{2}: 1\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

150097 A solid sphere of radius \(R\) has its outer half removed, so that its radius becomes \((R / 2\). Then its moment of inertia about the diameter is

1 becomes \(\frac{1}{2}\) of its initial volume
2 is unchanged.
3 becomes \(\frac{1}{16}\) of initial volume.
4 becomes \(\frac{1}{32}\) of initial volume.
Rotational Motion

150098 Match List-I With List-II
| | List-I | | List-II |
| :--- | :--- | :--- | :--- |
| A. | Moment of inertia of solid sphere of radius R about any tangent | $\frac{5}{3} \mathrm{MR}^2$ | |
| B. | Moment of inertia of hollow sphere of radius (R) about any tangent. | II. | $\frac{7}{5} \mathrm{MR}^2$ |
| C. | Moment of inertia of circular ring of radius (R) about its diameter. | $\frac{1}{4} \mathrm{MR}^2$ | |
| D. | Moment of inertia of circular disc of radius (R) about any diameter. | IV. | $\frac{1}{2} \mathrm{MR}^2$ |
Choose the correct answer from the options given below.

1 A-II, B-I, C-IV, D-III
2 A-I, B-II, C-IV, D-III
3 A-II, B-I, C-III, D-IV
4 A-I, B-II, C-III, D-IV
Rotational Motion

150099 An energy of \(484 J\) is spent in increasing the speed of a flywheel from \(60 \mathrm{rpm}\) to \(360 \mathrm{rpm}\). The moment of inertia of the flywheel is:

1 \(0.7 \mathrm{~kg}-\mathrm{m}^{2}\)
2 \(3.22 \mathrm{~kg}-\mathrm{m}^{2}\)
3 \(30.8 \mathrm{~kg}-\mathrm{m}^{2}\)
4 \(0.07 \mathrm{~kg}-\mathrm{m}^{2}\)
Rotational Motion

150100 The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is

1 \(4: 1\)
2 \(1: \sqrt{2}\)
3 \(2: 1\)
4 \(\sqrt{2}: 1\)