1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

For a body of mass '$$m$$', the acceleration due to gravity at a distance '$$R$$' from the surface of the earth is $$\left(\frac{g}{4}\right)$$. Its value at a distance $$\left(\frac{R}{2}\right)$$ from the surface of the earth is ( $$R=$$ radius of the earth, $$g=$$ acceleration due to gravity)

A
$$\left(\frac{g}{8}\right)$$
B
$$\left(\frac{9 g}{4}\right)$$
C
$$\left(\frac{4 g}{9}\right)$$
D
$$\left(\frac{\mathrm{g}}{2}\right)$$
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

What is the ratio of the velocity of sound in hydrogen $$\left(\gamma=\frac{7}{5}\right)$$ to that in helium $$\left(\gamma=\frac{5}{3}\right)$$ at the same temperature? (Molecular weight of hydrogen and helium is 2 and 4 respectively.)

A
$$\frac{\sqrt{42}}{5}$$
B
$$\frac{5}{\sqrt{42}}$$
C
$$\frac{\sqrt{21}}{5}$$
D
$$\frac{5}{\sqrt{21}}$$
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle performs rotational motion with an angular momentum 'L'. If frequency of rotation is doubled and its kinetic energy becomes one fourth, the angular momentum becomes.

A
L
B
$$\mathrm{\frac{L}{4}}$$
C
$$\mathrm{\frac{L}{8}}$$
D
$$\mathrm{\frac{L}{2}}$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Equation of two simple harmonic waves are given by $${Y_1} = 2\sin 8\pi \left( {{t \over {0.2}} - {x \over 2}} \right)m$$ and $${Y_2} = 4\sin 8\pi \left( {{t \over {0.16}} - {x \over {1.6}}} \right)m$$ then both waves have

A
same period
B
same frequency
C
same wavelength
D
same velocity
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