1
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+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
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+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
$$5 \mathrm{~cm}$$
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+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
$$r^{\frac{3}{2}}$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle at rest starts moving with a constant angular acceleration of $$4 \mathrm{~rad} / \mathrm{s}^2$$ in a circular path. At what time the magnitude of its centripetal acceleration and tangential acceleration will be equal?

A
$$\frac{1}{4} \mathrm{~S}$$
B
$$\frac{2}{3} \mathrm{~S}$$
C
$$\frac{1}{2} \mathrm{~S}$$
D
$$\frac{1}{3} \mathrm{~S}$$
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