02. Torque, Angular Momentum
Rotational Motion

149922 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg}-\mathrm{m}^{2}\) about an axis through its centre. Its angular velocity after 3 second is, in \(\mathrm{rad} / \mathrm{s}\) :

1 1
2 5
3 15
4 10
Rotational Motion

149923 The angular momentum of a particle with respect to the origin will not be zero, if

1 the directional line of linear momentum passes through the origin
2 the particle is at the origin (c) the angle between the position vector and linear momentum is \(180^{\circ}\)
3 (d.) the linear momentum vanishes
4 the angle between the position vector and linear momentum is \(90^{\circ}\)
Rotational Motion

149924 A particle is moving in an elliptical orbit as shown in figure. If \(\vec{p}, \vec{L}\) and \(\vec{r}\) denote the linear momentum, angular momentum and position vector of the particle (from focus \(O\)respectively at a point at \(A\), then the direction of \(\vec{\alpha}=\overrightarrow{\mathbf{p}} \times \overrightarrow{\mathbf{L}}\) is along.

1 + ve \(x\) axis
2 -ve \(x\) axis
3 + ve y axis
4 - ve y axis
Rotational Motion

149925 If the radius of a spherical object, rotating about its diameter with a time period of 2 second, is reduced to half its actual value, keeping its mass unchanged, its time period becomes (assuming zero external torque)

1 Remains the same
2 \(6 \mathrm{~s}\)
3 \(0.5 \mathrm{~s}\)
4 \(1 \mathrm{~s}\)
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Rotational Motion

149922 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg}-\mathrm{m}^{2}\) about an axis through its centre. Its angular velocity after 3 second is, in \(\mathrm{rad} / \mathrm{s}\) :

1 1
2 5
3 15
4 10
Rotational Motion

149923 The angular momentum of a particle with respect to the origin will not be zero, if

1 the directional line of linear momentum passes through the origin
2 the particle is at the origin (c) the angle between the position vector and linear momentum is \(180^{\circ}\)
3 (d.) the linear momentum vanishes
4 the angle between the position vector and linear momentum is \(90^{\circ}\)
Rotational Motion

149924 A particle is moving in an elliptical orbit as shown in figure. If \(\vec{p}, \vec{L}\) and \(\vec{r}\) denote the linear momentum, angular momentum and position vector of the particle (from focus \(O\)respectively at a point at \(A\), then the direction of \(\vec{\alpha}=\overrightarrow{\mathbf{p}} \times \overrightarrow{\mathbf{L}}\) is along.

1 + ve \(x\) axis
2 -ve \(x\) axis
3 + ve y axis
4 - ve y axis
Rotational Motion

149925 If the radius of a spherical object, rotating about its diameter with a time period of 2 second, is reduced to half its actual value, keeping its mass unchanged, its time period becomes (assuming zero external torque)

1 Remains the same
2 \(6 \mathrm{~s}\)
3 \(0.5 \mathrm{~s}\)
4 \(1 \mathrm{~s}\)
Rotational Motion

149922 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg}-\mathrm{m}^{2}\) about an axis through its centre. Its angular velocity after 3 second is, in \(\mathrm{rad} / \mathrm{s}\) :

1 1
2 5
3 15
4 10
Rotational Motion

149923 The angular momentum of a particle with respect to the origin will not be zero, if

1 the directional line of linear momentum passes through the origin
2 the particle is at the origin (c) the angle between the position vector and linear momentum is \(180^{\circ}\)
3 (d.) the linear momentum vanishes
4 the angle between the position vector and linear momentum is \(90^{\circ}\)
Rotational Motion

149924 A particle is moving in an elliptical orbit as shown in figure. If \(\vec{p}, \vec{L}\) and \(\vec{r}\) denote the linear momentum, angular momentum and position vector of the particle (from focus \(O\)respectively at a point at \(A\), then the direction of \(\vec{\alpha}=\overrightarrow{\mathbf{p}} \times \overrightarrow{\mathbf{L}}\) is along.

1 + ve \(x\) axis
2 -ve \(x\) axis
3 + ve y axis
4 - ve y axis
Rotational Motion

149925 If the radius of a spherical object, rotating about its diameter with a time period of 2 second, is reduced to half its actual value, keeping its mass unchanged, its time period becomes (assuming zero external torque)

1 Remains the same
2 \(6 \mathrm{~s}\)
3 \(0.5 \mathrm{~s}\)
4 \(1 \mathrm{~s}\)
Rotational Motion

149922 A constant torque of \(1000 \mathrm{~N}-\mathrm{m}\) turns a wheel of moment of inertia \(200 \mathrm{~kg}-\mathrm{m}^{2}\) about an axis through its centre. Its angular velocity after 3 second is, in \(\mathrm{rad} / \mathrm{s}\) :

1 1
2 5
3 15
4 10
Rotational Motion

149923 The angular momentum of a particle with respect to the origin will not be zero, if

1 the directional line of linear momentum passes through the origin
2 the particle is at the origin (c) the angle between the position vector and linear momentum is \(180^{\circ}\)
3 (d.) the linear momentum vanishes
4 the angle between the position vector and linear momentum is \(90^{\circ}\)
Rotational Motion

149924 A particle is moving in an elliptical orbit as shown in figure. If \(\vec{p}, \vec{L}\) and \(\vec{r}\) denote the linear momentum, angular momentum and position vector of the particle (from focus \(O\)respectively at a point at \(A\), then the direction of \(\vec{\alpha}=\overrightarrow{\mathbf{p}} \times \overrightarrow{\mathbf{L}}\) is along.

1 + ve \(x\) axis
2 -ve \(x\) axis
3 + ve y axis
4 - ve y axis
Rotational Motion

149925 If the radius of a spherical object, rotating about its diameter with a time period of 2 second, is reduced to half its actual value, keeping its mass unchanged, its time period becomes (assuming zero external torque)

1 Remains the same
2 \(6 \mathrm{~s}\)
3 \(0.5 \mathrm{~s}\)
4 \(1 \mathrm{~s}\)