1
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
$$\frac{1}{2} m \omega^2 p^2 Q^2$$
2
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
$$0.1 \mathrm{~m}$$
3
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
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A child is sitting on a swing which performs S.H.M. It has minimum and maximum heights from ground $$0.75 \mathrm{~cm}$$ and $$2 \mathrm{~m}$$ respectively. Its maximum speed will be $$\left[\mathrm{g}=10 \frac{\mathrm{m}}{\mathrm{s}^2}\right]$$

A
$$\sqrt{1.25} \mathrm{~m} / \mathrm{s}$$
B
$$\sqrt{12.5} \mathrm{~m} / \mathrm{s}$$
C
$$5 \mathrm{~m} / \mathrm{s}$$
D
$$25 \mathrm{~m} / \mathrm{s}$$
MHT CET Subjects
EXAM MAP