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

A bead of mass 400 g is moving along a straight line under a force that delivers a constant power 1.2 W to the bead. If the bead is initially at rest, the speed it attains after 6 s in $$\mathrm{ms}^{-1}$$

A
5
B
4
C
6
D
3
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Masses $$m\left(\frac{1}{3}\right)^N \frac{1}{N}$$ are placed at $$x=N$$, when $$N=2,3,4 \ldots \infty$$. If the total mass of the system is $$M$$, then the centre of mass is

A
$$\frac{1}{6} \frac{m}{M}$$
B
$$\frac{1}{5} \frac{m}{M}$$
C
$$\frac{1}{3} \frac{m}{M}$$
D
$$\frac{1}{2} \frac{m}{M}$$
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Consider a disc of radius $$R$$ and mass $$M$$. A hole of radius $$\frac{R}{3}$$ is created in the disc, such that the centre of the hole is $$\frac{R}{3}$$ away from centre of the disc. The moment of inertia of the system along the axis perpendicular to the disc passing through the centre of the disc is

A
$$\frac{M R^2}{2}$$
B
$$\frac{13}{27} M R^2$$
C
$$\frac{1}{3} M R^2$$
D
$$4 M R^2$$
4
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
$$T=\frac{1}{2 \pi} \sqrt{\frac{\pi \pi^2 \rho g}{m}}$$
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