1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A cone with half the density of water is floating in water as shown in figure. It is depressed down by a small distance $$\delta(\ll< H)$$ and released. The frequency of simple harmonic oscillations of the cone is

A
$$\frac{1}{2 \pi} \sqrt{\frac{6 g}{H} \frac{1}{4^{\frac{1}{3}}}}$$
B
$$\frac{1}{2 \pi} \sqrt{\frac{3 g}{H} \frac{1}{4^{\frac{1}{3}}}}$$
C
$$\frac{1}{2 \pi} \sqrt{\frac{6 g}{2 H}}$$
D
$$\frac{1}{2 \pi} \sqrt{\frac{g}{H}}$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle executing simple harmonic motion along a straight line with an amplitude A, attains maximum potential energy when its displacement from mean position equals

A
0
B
$$\pm \frac{A}{\sqrt2}$$
C
$$\pm A$$
D
$$\pm \frac{A}{2}$$
3
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out the time period of oscillation would

A
remain unchanged
B
increase towards a saturation value
C
first increase and then decrease to the original value
D
first decrease and then increase to the original value
4
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

A block of mass $$\mathrm{l} \mathrm{kg}$$ is fastened to a spring of spring constant of $$100 ~\mathrm{Nm}^{-1}$$. The block is pulled to a distance $$x=10 \mathrm{~cm}$$ from its equilibrium position $$(x=0 \mathrm{~cm})$$ on a frictionless surface, from rest at $$t=0$$. The kinetic energy and the potential energy of the block when it is $$5 \mathrm{~cm}$$ away from the mean position is

A
$$0.375 \mathrm{~J}, 0.125 \mathrm{~J}$$
B
$$0.125 \mathrm{~J}, 0.375 \mathrm{~J}$$
C
$$0.125 \mathrm{~J}, 0.125 \mathrm{~J}$$
D
$$0.375 \mathrm{~J}, 0.375 \mathrm{~J}$$
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