1
MHT CET 2023 9th May Morning Shift
+1
-0

A seconds pendulum is placed in a space laboratory orbiting round the earth at a height '$$3 \mathrm{R}$$' from the earth's surface. The time period of the pendulum will be ( $$R=$$ radius of earth)

A
zero
B
$$\frac{2}{3} \mathrm{~s}$$
C
$$4 \mathrm{~s}$$
D
infinite
2
MHT CET 2022 11th August Evening Shift
+1
-0

A body weighs $$500 \mathrm{~N}$$ on the surface of the earth. At what distance below the surface of the earth it weighs $$250 \mathrm{~N}$$ ? (Radius of earth, $$\mathrm{R}=6400 \mathrm{~km}$$ )

A
6400 km
B
800 km
C
1600 km
D
3200 km
3
MHT CET 2022 11th August Evening Shift
+1
-0

The masses and radii of the moon and the earth are $$\mathrm{M_1, R_1}$$ and $$\mathrm{M_2, R_2}$$ respectively. Their centres are at a distance $$\mathrm{d}$$ apart. What should be the minimum speed with which a body of mass '$$m$$' should be projected from a point midway between their centres, so as to escape to infinity?

A
$$\frac{\mathrm{G}\left(\mathrm{M}_1+\mathrm{M}_2\right)}{\mathrm{d}}$$
B
$$\sqrt[2]{\frac{G\left(M_1+M_2\right)}{d}}$$
C
$$\sqrt{\frac{G d}{M_1+M_2}}$$
D
$$\sqrt{\frac{M_1+M_2}{G d}}$$
4
MHT CET 2021 24th September Evening Shift
+1
-0

The average density of the earth is [g is acceleration due to gravity]

A
inversely proportional to g$$^2$$.
B
directly proportional to $$\mathrm{g}$$.
C
inversely proportional to $$\mathrm{g}$$.
D
directly proportional to $$\mathrm{g}^2$$.
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