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

A projectile is thrown straight upward from the earth's surface with an initial speed $$v=\alpha v_e$$ where $$\alpha$$ is a constant and $$v_e$$ is the escape speed. The projectile travels upto a height 800 km from earth's surface, before it comes to rest. The value of the constant $$\alpha$$ is (radius of the earth $$=6400 \mathrm{~km}$$)

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

Same tension is applied to the following four wires made of same material. The elongation is longest in

A
wire of length 200 cm and diameter 2 mm
B
wire of length 300 cm and diameter 3 mm
C
wire of length 50 cm and diameter 0.5 mm
D
wire of length 100 cm and diameter 1 mm
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