1
MHT CET 2021 22th September Morning Shift
+1
-0

The angular displacement of body performing circular motion is given by $$\theta=5 \sin \frac{\pi t}{6}$$. The angular velocity of the body at $$t=3$$ second will be $$\left[\sin \frac{\pi}{2}=1, \cos \frac{\pi}{2}=0\right]$$

A
$$5 \frac{\mathrm{rad}}{\mathrm{s}}$$
B
$$1 \frac{\mathrm{rad}}{\mathrm{s}}$$
C
$$2.5 \frac{\mathrm{rad}}{\mathrm{s}}$$
D
zero $$\frac{\mathrm{rad}}{\mathrm{s}}$$
2
MHT CET 2021 22th September Morning Shift
+1
-0

A body performing uniform circular motion of radius 'R' has frequency 'n'. It centripetal acceleration is

A
8 $$\pi^2$$nR$$^2$$
B
4 $$\pi^2$$n$$^2$$R
C
4 $$\pi^2$$n$$^2$$R$$^2$$
D
8 $$\pi^2$$n$$^2$$R
3
MHT CET 2021 21th September Evening Shift
+1
-0

The angle of banking '$$\theta$$' for a meter gauge railway line is given by $$\theta=\tan ^{-1}\left(\frac{1}{20}\right)$$. What is the elevation of the outer rail above the inner rail?

A
$$20 \mathrm{~cm}$$
B
$$10 \mathrm{~cm}$$
C
$$0.2 \mathrm{~cm}$$
D
$$5 \mathrm{~cm}$$
4
MHT CET 2021 21th September Morning Shift
+1
-0

A particle moves in a circular orbit of radius '$$r$$' under a central attractive force, $$F=-\frac{k}{r}$$, where $$\mathrm{k}$$ is a constant. The periodic time of its motion is proportional to

A
$$r^{\frac{1}{2}}$$
B
$$\mathrm{r}^{\frac{2}{3}}$$
C
$$r$$
D
$$r^{\frac{3}{2}}$$
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