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

A body is executing S.H.M. At a displacement $$x$$ its potential energy is 9 J and at a displacement $$y$$ its potential energy is 16 J . The potential energy at displacement $$(x+y)$$ is

A
25 J
B
5 J
C
49 J
D
7 J
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A hydrometer executes simple harmonic motion when it is pushed down vertically in a liquid of density $$\rho$$. If the mass of hydrometer is $$m$$ and the radius of the hydrometer tube is $$r$$, then the time period of oscillation is

A
$$T=2 \pi \sqrt{\frac{m}{\pi^2 \rho g}}$$
B
$$T=2 \pi \sqrt{\frac{\pi \pi^2 \rho g}{m}}$$
C
$$T=\frac{1}{2 \pi} \sqrt{\frac{m}{\pi \pi^2 \rho g}}$$
D
$$T=\frac{1}{2 \pi} \sqrt{\frac{\pi \pi^2 \rho g}{m}}$$
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

An object undergoing simple harmonic motion takes 0.5 s to travel from one point of zero velocity to the next such point. The angular frequency of the motion is

A
$$\pi \mathrm{~rad} \mathrm{~s}^{-1}$$
B
$$2 \pi \mathrm{~rad} \mathrm{~s}^{-1}$$
C
$$3 \pi \mathrm{~rad} \mathrm{~s}^{-1}$$
D
$$\frac{\pi}{2} \mathrm{~rad} \mathrm{~s}^{-1}$$
4
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
$$\frac{1}{2 \pi} \sqrt{\frac{g}{H}}$$
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