1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The amplitude of a particle executing S.H.M. is $$3 \mathrm{~cm}$$. The displacement at which its kinetic energy will be $$25 \%$$ more than the potential energy is

A
$$1 \mathrm{~cm}$$
B
$$2 \mathrm{~cm}$$
C
$$3 \mathrm{~cm}$$
D
$$4 \mathrm{~cm}$$
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two S.H.Ms. are represented by equations $$\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)$$ and $$\mathrm{y}_2=0.1 \cos (100 \pi \mathrm{t})$$ The phase difference between the speeds of the two particles is

A
$$\frac{\pi}{3}$$
B
$$-\frac{\pi}{6}$$
C
$$+\frac{\pi}{6}$$
D
$$-\frac{\pi}{3}$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A spring has a certain mass suspended from it and its period for vertical oscillations is '$$T_1$$'. The spring is now cut in to two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now '$$\mathrm{T}_2$$'. The ratio $$\mathrm{T}_1 / \mathrm{T}_2$$ is

A
2
B
$$\sqrt{2}$$
C
$$\frac{1}{\sqrt{2}}$$
D
$$\frac{1}{2}$$
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle is vibrating in S.H.M. with an amplitude of $$4 \mathrm{~cm}$$. At what displacement from the equilibrium position is its energy half potential and half kinetic?

A
$$1 \mathrm{~cm}$$
B
$$\sqrt{2} \mathrm{~cm}$$
C
$$2 \mathrm{~cm}$$
D
$$2 \sqrt{2} \mathrm{~cm}$$
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