1
MHT CET 2021 20th September Morning Shift
+1
-0

A mass '$$\mathrm{m}_1$$' is suspended from a spring of negligible mass. A spring is pulled slightly in downward direction and released, mass performs S.H.M. of period '$$\mathrm{T}_1$$'. If the mass is increased by '$$\mathrm{m}_2$$', the time period becomes '$$\mathrm{T}_2$$'. The ratio $$\frac{\mathrm{m}_2}{\mathrm{~m}_1}$$ is

A
$$\frac{\mathrm{T}_1^2+\mathrm{T}_2^2}{\mathrm{~T}_1^2}$$
B
$$\frac{\mathrm{T}_1-\mathrm{T}_2}{\mathrm{~T}_1}$$
C
$$\frac{\mathrm{T}_2^2-\mathrm{T}_1^2}{\mathrm{~T}_1^2}$$
D
$$\frac{T_1^2-T_2^2}{T_1^2}$$
2
MHT CET 2021 20th September Morning Shift
+1
-0

Two particles $$\mathrm{P}$$ and $$\mathrm{Q}$$ performs S.H.M. of same amplitude and frequency along the same straight line. At a particular instant, maximum distance between two particles is $$\sqrt{2}$$ a. The initial phase difference between them is

$$\left[\sin ^{-1}\left(\frac{1}{\sqrt{2}}\right)=\cos ^{-1}\left(\frac{1}{\sqrt{2}}\right)=\frac{\pi}{4}\right]$$

A
$$\frac{\pi}{6}$$
B
$$\frac{\pi}{2}$$
C
zero
D
$$\frac{\pi}{3}$$
3
MHT CET 2021 20th September Morning Shift
+1
-0

A particle of mass 5kg is executing S.H.M. with an amplitude 0.3 m and time period $$\frac{\pi}{5}$$s. The maximum value of the force acting on the particle is

A
0.15 N
B
4 N
C
5 N
D
0.3 N
4
MHT CET 2020 16th October Morning Shift
+1
-0

A simple pendulum of length $$L$$ has mass $$m$$ and it oscillates freely with amplitude $$A$$. At extreme position, its potential energy is ($$g=$$ acceleration due to gravity)

A
$$\frac{m g A}{L}$$
B
$$\frac{m g A}{2 l}$$
C
$$\frac{m g A^2}{L}$$
D
$$\frac{m g A^2}{2 L}$$
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