- 1(current)
Q. No.
1. \(4 ~\text {cm}\)
2. \(6 ~\text {cm}\)
3. \(8 ~\text {cm}\)
4. \(12 ~\text {cm}\)
| 1. | the same throughout the motion |
| 2. | minimum at the highest position of the circular path |
| 3. | minimum at the lowest position of the circular path |
| 4. | minimum when the rope is in the horizontal position |
1. \(\dfrac{m\omega^2 r}{2}\)
2. \(2m\omega^{2}r\)
3. \(m\omega^{2}r\)
4. \(\dfrac{3}{2}m\omega^{2}r\)
An object follows a curved (circular) path. The following quantities may remain constant during the motion.
| (A) | speed |
| (B) | velocity |
| (C) | acceleration |
| (D) | magnitude of acceleration |
Choose the correct option from the options given below:
| 1. | (A) and (B) |
| 2. | (B) and (C) |
| 3. | (C) and (D) |
| 4. | (A) and (D) |
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A particle of mass \(m\) is tied to a string of length \(l\) and whirled into a horizontal plane. If the tension in the string is \(T,\) then the speed of the particle will be:
1. \(\sqrt{\dfrac{T l}{m}} \)
2. \(\sqrt{\dfrac{2 T l}{m}} \)
3. \(\sqrt{\dfrac{3 T l}{m}}\)
4. \(\sqrt{\dfrac{T}{m l}}\)
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Two cars having masses \(m_1\) and \(m_2\) move in circles of radii \(r_1\) and \(r_2\) respectively. If they complete the circles in equal time, the ratio of their angular speeds \(\dfrac{\omega_1}{\omega_2}\) is:
1. \(\dfrac{m_1}{m_2}\)
2. \(\dfrac{r_1}{r_2}\)
3. \(\dfrac{m_1r_1}{m_2r_2}\)
4. \(1\)
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The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time. Its:
(a) Velocity remains constant.
(b) Speed remains constant.
(c) Acceleration remains constant
(d) Tangential acceleration remains constant.
Choose the correct option from the given ones:
1. (a) and (d)
2. (b) and (d)
3. (c) and (d)
4. (a) and (c)
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(take \({g}=10~\text{ms}^{-2})\)
1. \(0.4~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(0.2~\text{m/s}\)
4. \(4~\text{m/s}\)
| 1. | \(2.0~\text N\) | 2. | \(4.0~\text N\) |
| 3. | \(8.0~\text N\) | 4. | \(16~\text N\) |
- 1(current)
Q. No.
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