- 1(current)
Q. No.The moment of inertia of a uniform right-angled triangular lamina (mass: \(m\)) \(\Delta ABC\) about an axis passing through \(C,\) perpendicular to its plane is:
| 1. | \(m\left(\dfrac{a^2 +b^2}{3}\right ) \) | 2. | \(m\left(\dfrac{a^2 +b^2}{6}\right) \) |
| 3. | \(m\left(\dfrac{a^2 +b^2}{12}\right) \) | 4. | \(m\left(\dfrac{a^2 +b^2}{2}\right) \) |
Subtopic: Â Moment of Inertia |
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
The moment of inertia of the uniform rod of mass \(m,\) length \(L\) about the axis shown in the figure is \(\dfrac14mL^2.\) Then, the angle \(\theta\) is:
1. \(\text{sin}^{-1}\left(\dfrac34\right) \)
2. \(\text{tan}^{-1}\left(\dfrac34\right) \)
3. \(60^{\circ}\)
4. \(30^{\circ}\)
1. \(\text{sin}^{-1}\left(\dfrac34\right) \)
2. \(\text{tan}^{-1}\left(\dfrac34\right) \)
3. \(60^{\circ}\)
4. \(30^{\circ}\)
Subtopic: Â Moment of Inertia |
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
A uniform hollow cylindrical shell has an outer radius \(R_1\) and inner radius \(R_2\). If its mass be \(m\) then its rotational inertia about its axis is equal to:
1. \(\dfrac{1}{2} m\left(R_{2}^{2}-R_{1}^{2}\right)\)
2. \(\dfrac{1}{2} m\left(R_{2}^{2}+R_{1}^{2}\right)\)
3. \(\dfrac{1}{2} m~ \dfrac{R_{2}^{3}-R_{1}^{3}}{R_{2}-R_{1}}\)
4. \(\dfrac{1}{2} m~ \dfrac{R_{2}^{5}-R_{1}^{5}}{R_{2}^{3}-R_{1}^{3}}\)
1. \(\dfrac{1}{2} m\left(R_{2}^{2}-R_{1}^{2}\right)\)
2. \(\dfrac{1}{2} m\left(R_{2}^{2}+R_{1}^{2}\right)\)
3. \(\dfrac{1}{2} m~ \dfrac{R_{2}^{3}-R_{1}^{3}}{R_{2}-R_{1}}\)
4. \(\dfrac{1}{2} m~ \dfrac{R_{2}^{5}-R_{1}^{5}}{R_{2}^{3}-R_{1}^{3}}\)
Subtopic: Â Moment of Inertia |
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
The moment of inertia of a uniform solid cube of mass \(M\) and edge \(L,\) about an axis passing through one of its edges is:
| 1. | \(\dfrac{M L^{2}}{6}\) | 2. | \(\dfrac{M L^{2}}{3}\) |
| 3. | \(\dfrac{M L^{2}}{2}\) | 4. | \(\dfrac{2M L^{2}}{3}\) |
Subtopic: Â Moment of Inertia |
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
A uniform solid hemisphere of mass \(m\) and radius \(R\) is rotated about an axis passing through its center \(O\) along a diameter of its flat surface. The moment of inertia of the hemisphere, about this axis, is:
1. \(\dfrac15mR^2\)
2. \(\dfrac25mR^2\)
3. \(\dfrac13mR^2\)
4. \(\dfrac23mR^2\)
1. \(\dfrac15mR^2\)
2. \(\dfrac25mR^2\)
3. \(\dfrac13mR^2\)
4. \(\dfrac23mR^2\)
Subtopic: Â Moment of Inertia |
 61%
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
A \(L\)-shaped object \((ABC)\) is made by rigidly connected two uniform \(1~\text{kg}\) rods \((AB,BC)\) of length \(1~\text{m},\) at right angles. The moment of inertia of the system, about an axis perpendicular to its plane and passing through end \(C,\) is:
| 1. | \({\dfrac{2}{3}}~\text{kg-m}^2\) | 2. | \({\dfrac{5}{12}}~\text{kg-m}^2\) |
| 3. | \({\dfrac{7}{6}}~\text{kg-m}^2\) | 4. | \({\dfrac{5}{3}}~\text{kg-m}^2\) |
Subtopic: Â Moment of Inertia |
 57%
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Two identical uniform semi-circular pieces are joined smoothly at their ends so as to form a planar \(S\)-shape. The mass of each piece is \(m\) and radius \(R.\) The moment of inertia of this \(S,\) about the common tangent at its joint (at \(P\)) is given by:
| 1. | \(mR^2\) | 2. | \({\dfrac32}mR^2\) |
| 3. | \(2mR^2\) | 4. | \(3mR^2\) |
Subtopic: Â Moment of Inertia |
From NCERT
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch
- 1(current)
Q. No.
© 2025 GoodEd Technologies Pvt. Ltd.