1
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
$$\frac{\pi}{3}$$
2
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
3
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
$$\frac{m g A^2}{2 L}$$
4
MHT CET 2020 16th October Morning Shift
+1
-0

For a particle performing SHM when displacement is $$x$$, the potential energy and restoring force acting on it is denoted by $$E$$ and $$F$$, respectively. The relation between $$x, E$$ and $$F$$ is

A
$$\frac{E}{F}+x=0$$
B
$$\frac{2 E}{F}-x=0$$
C
$$\frac{2 E}{F}+x=0$$
D
$$\frac{E}{F}-x=0$$
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