1
AP EAPCET 2022 - 4th July Morning Shift
+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
$$T=\frac{1}{2 \pi} \sqrt{\frac{\pi \pi^2 \rho g}{m}}$$
2
AP EAPCET 2022 - 4th July Morning Shift
+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
$$\frac{\pi}{2} \mathrm{~rad} \mathrm{~s}^{-1}$$
3
AP EAPCET 2022 - 4th July Morning Shift
+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
$$\frac{1}{2 \pi} \sqrt{\frac{g}{H}}$$
4
AP EAPCET 2021 - 20th August Morning Shift
+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
$$\pm \frac{A}{2}$$
EXAM MAP
Medical
NEET