1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body of mass 'm' is moving with speed 'V' along a circular path of radius 'r'. Now the speed is reduced to $$\frac{V}{2}$$ and radius is increased to '3r'. For this change, initial centripetal force needs to be

A
increased by $$\frac{7}{12}$$ times
B
increased by $$\frac{10}{12}$$ times
C
decreased by $$\frac{11}{12}$$ times
D
decreased by $$\frac{1}{12}$$ times
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

A body attached to one end of a string performs motion along a vertical circle. Its centripetal acceleration, when the string is horizontal, will be [$$\mathrm{g}=$$ acceleration due to gravity]

A
zero
B
5g
C
3g
D
g
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A projectile is thrown with an initial velocity $$(a \hat{i}+b \hat{j}) \mathrm{m} / \mathrm{s}$$, where $$\hat{i}$$ and $$\hat{j}$$ are unit vectors along horizontal and vertical directions respectively. If the range of the projectile is twice the maximum height reached by it, then

A
$$\mathrm{b}=2 \mathrm{a}$$
B
$$\mathrm{b}=4 \mathrm{a}$$
C
$$\mathrm{b=\frac{a}{2}}$$
D
$$\mathrm{b}=\mathrm{a}$$
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle is performing U.C.M. along the circumference of a circle of diameter $$50 \mathrm{~cm}$$ with frequency $$2 \mathrm{~Hz}$$. The acceleration of the particle in $$\mathrm{m} / \mathrm{s}^2$$ is

A
$$2 \pi^2$$
B
$$4 \pi^2$$
C
$$8 \pi^2$$
D
$$\pi^2$$
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