1
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

'$$n$$' 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

A
$$2 \mathrm{n}$$
B
$$\frac{\mathrm{n}}{2}$$
C
$$\frac{\mathrm{n}}{\sqrt{2}}$$
D
$$\sqrt{2} \mathrm{n}$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+1
-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

A
$$\frac{1}{2} \mathrm{~m} \omega^2 \mathrm{PQ}$$
B
$$\frac{1}{2} \frac{\mathrm{m} \omega^2}{\mathrm{P}^2 \mathrm{Q}^2}$$
C
$$\frac{1}{2} m \omega^2\left(P^2+Q^2\right)$$
D
$$\frac{1}{2} m \omega^2 p^2 Q^2$$
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+1
-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

A
$$0.15 \mathrm{~m}$$
B
$$0.125 \mathrm{~m}$$
C
$$0.075 \mathrm{~m}$$
D
$$0.1 \mathrm{~m}$$
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
its period and total energy will increase.
B
its period will increase and total energy will decrease
C
its period and total energy will decrease.
D
its period will not change but total energy will decrease
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