MHT CET 2021 22th September Evening Shift | Simple Harmonic Motion Question 40 | Physics

'$$n$$' waves are produced on a string in 1 second. When the radius of the string is doubled, keeping tension same, the number of waves produced in 1 second for the same harmonic will be

$$2 \mathrm{n}$$

$$\frac{\mathrm{n}}{2}$$

$$\frac{\mathrm{n}}{\sqrt{2}}$$

$$\sqrt{2} \mathrm{n}$$

MHT CET 2021 22th September Evening Shift

MCQ (Single Correct Answer)

-0

A body of mass '$$m$$' performs linear S.H.M. given by equation $$x=P \sin \omega t+Q \sin \left(\omega t+\frac{\pi}{2}\right)$$. The total energy of the particle at any instant is

$$\frac{1}{2} \mathrm{~m} \omega^2 \mathrm{PQ}$$

$$\frac{1}{2} \frac{\mathrm{m} \omega^2}{\mathrm{P}^2 \mathrm{Q}^2}$$

$$\frac{1}{2} m \omega^2\left(P^2+Q^2\right)$$

$$\frac{1}{2} m \omega^2 p^2 Q^2$$

MHT CET 2021 22th September Morning Shift

MCQ (Single Correct Answer)

-0

A mass $$0.4 \mathrm{~kg}$$ performs S.H.M. with a frequency $$\frac{16}{\pi} \mathrm{Hz}$$. At a certain displacement it has kinetic energy $$2 \mathrm{~J}$$ and potential energy $$1.2 \mathrm{~J}$$. The amplitude of oscillation is

$$0.15 \mathrm{~m}$$

$$0.125 \mathrm{~m}$$

$$0.075 \mathrm{~m}$$

$$0.1 \mathrm{~m}$$

MHT CET 2021 22th September Morning Shift

MCQ (Single Correct Answer)

-0

If the amplitude of linear S.H.M. is decreased then

its period and total energy will increase.

its period will increase and total energy will decrease

its period and total energy will decrease.

its period will not change but total energy will decrease

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