MHT CET 2023 10th May Morning Shift | Simple Harmonic Motion Question 59 | Physics

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

$$1 \mathrm{~cm}$$

$$2 \mathrm{~cm}$$

$$3 \mathrm{~cm}$$

$$4 \mathrm{~cm}$$

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

-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

$$\frac{\pi}{3}$$

$$-\frac{\pi}{6}$$

$$+\frac{\pi}{6}$$

$$-\frac{\pi}{3}$$

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

-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

$$\sqrt{2}$$

$$\frac{1}{\sqrt{2}}$$

$$\frac{1}{2}$$

MHT CET 2023 9th May Evening Shift

MCQ (Single Correct Answer)

-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?

$$1 \mathrm{~cm}$$

$$\sqrt{2} \mathrm{~cm}$$

$$2 \mathrm{~cm}$$

$$2 \sqrt{2} \mathrm{~cm}$$

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