1
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

The potential energy of a particle of mass 0.1 kg moving along the $X$-axis, is given by $U=5 x(x-4) \mathrm{J}$, where $x$ is in metres. Choose the wrong option.

A
The speed of the particle is maximum at $x=2 \mathrm{~m}$
B
The particle executes simple harmonic motion
C
The period of oscillation of the particle is $\frac{\pi}{5} \mathrm{~s}$
D
None of the above
2
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

One end of a spring of force constant $$k$$ is fixed to a vertical wall and other to a body of mass $$m$$ resting on a smooth horizontal surface. There is another wall at a distance $$x_0$$ from the body. The spring is then compressed by $$2 x_0$$ and released. The time taken to stike the wall is

A
$$\frac{\pi}{6} \sqrt{\frac{m}{k}}$$
B
$$\sqrt{\frac{m}{k}}$$
C
$$\frac{2 \pi}{3} \sqrt{\frac{m}{k}}$$
D
$$\frac{\pi}{4} \sqrt{\frac{m}{k}}$$
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