# A particle moves with constant angular velocity in a circle. During the motion its: 1. Energy is conserved 2. Momentum is conserved 3. Energy and momentum both are conserved 4. None of the above is conserved

Subtopic:  Circular Motion |
From NCERT
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Two bodies of mass 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal acceleration is

(1) R/r

(2) r/R

(3) R2/r2

(4) r2/R2

Subtopic:  Circular Motion |
62%
From NCERT
PMT - 2001
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A particle is moving in a horizontal circle with constant speed. It has constant

(1) Velocity

(2) Acceleration

(3) Kinetic energy

(4) Displacement

Subtopic:  Circular Motion |
70%
From NCERT
PMT - 1987
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The angular speed of a flywheel making 120 revolutions/minute is:

(1) $2\pi \text{\hspace{0.17em}\hspace{0.17em}}rad/s$

(2) $4{\pi }^{2}\text{\hspace{0.17em}\hspace{0.17em}}rad/s$

(3) $\pi \text{\hspace{0.17em}\hspace{0.17em}}rad/s$

(4) $4\pi \text{\hspace{0.17em}\hspace{0.17em}}rad/s$

Subtopic:  Circular Motion |
78%
From NCERT
PMT - 1995
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Certain neutron stars are believed to be rotating at about 1 rev/sec. If such a star has a radius of 20 km, the acceleration of an object on the equator of the star will be

(1) $20×{10}^{8}m/{\mathrm{sec}}^{2}$

(2) $8×{10}^{5}m/{\mathrm{sec}}^{2}$

(3) $120×{10}^{5}m/{\mathrm{sec}}^{2}$

(4) $4×{10}^{8}m/{\mathrm{sec}}^{2}$

Subtopic:  Circular Motion |
70%
From NCERT
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An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 r.p.m, the acceleration of a point on the tip of the blade is about

(1) 1600 m/sec2

(2) 4740 m/sec2

(3) 2370 m/sec2

(4) 5055 m/sec2

Subtopic:  Circular Motion |
75%
From NCERT
PMT - 1990
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The angular speed of seconds needle in a mechanical watch is:

(1) $\frac{\pi }{30}$ rad/s

(4) $\frac{60}{\pi }$ rad/s

Subtopic:  Circular Motion |
76%
From NCERT
PMT - 1999
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What is the value of linear velocity if $$\overrightarrow{\omega} = 3\hat{i} - 4\hat{j} + \hat{k}$$ and $$\overrightarrow{r} = 5\hat{i} - 6\hat{j} + 6\hat{k}$$:

 1 $$6 \hat{i}+2 \hat{j}-3 \hat{k}$$ 2 $$-18 \hat{i}-13 \hat{j}+2 \hat{k}$$ 3 $$4 \hat{i}-13 \hat{j}+6 \hat{k}$$ 4 $$6 \hat{i}-2 \hat{j}+8 \hat{k}$$
Subtopic:  Circular Motion |
86%
From NCERT
PMT - 2000
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A particle moves with constant speed $$v$$ along a circular path of radius $$r$$ and completes the circle in time $$T$$. The acceleration of the particle is:
1. $$2\pi v / T$$
2. $$2\pi r / T$$
3. $$2\pi r^2 / T$$
4. $$2\pi v^2 / T$$

Subtopic:  Circular Motion |
62%
From NCERT
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In $$1.0~\text{s}$$, a particle goes from point $$A$$ to point $$B$$, moving in a semicircle of radius $$1.0~\text{m}$$ (see figure). The magnitude of the average velocity is:

1. $$3.14~\text{m/s}$$
2. $$2.0~\text{m/s}$$
3. $$1.0~\text{m/s}$$
4. zero

Subtopic:  Speed & Velocity |
69%
From NCERT
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