1
MHT CET 2021 23rd September Evening Shift
+1
-0

A body of mass 'M' and radius 'R', situated on the surface of the earth becomes weightless at its equator when the rotational kinetic energy of the earth reaches a critical value 'K'. The value of 'K' is given by [Assume the earth as a solid sphere, g = gravitational acceleration on the earth's surfacde]

A
$$\frac{1}{2} \mathrm{MgR}$$
B
$$\frac{1}{3} \mathrm{MgR}$$
C
$$\frac{1}{4} \mathrm{MgR}$$
D
$$\frac{1}{5} \mathrm{MgR}$$
2
MHT CET 2021 23th September Morning Shift
+1
-0

The mass of a spherical planet is 4 times the mass of the earth, but its radius (R) is same as that of the earth. How much work is done is lifting a body of mass 5 kg through a distance of 2 m on the planet ? (g = 10 ms$$^{-2}$$)

A
400 J
B
200 J
C
800 J
D
300 J
3
MHT CET 2021 23th September Morning Shift
+1
-0

The radius of a planet is twice the radius of the earth. Both have almost equal average mass densities. If '$$V_P$$' and '$$V_E$$' are escape velocities of the planet and the earth respectively, then

A
$$\mathrm{V}_{\mathrm{E}}=1.5 \mathrm{~V}_{\mathrm{P}}$$
B
$$\mathrm{V}_{\mathrm{P}}=1.5 \mathrm{~V}_{\mathrm{E}}$$
C
$$\mathrm{V_P=2 V_E}$$
D
$$\mathrm{V_E=3 V_P}$$
4
MHT CET 2021 22th September Evening Shift
+1
-0

Two satellites of same mass are launched in circular orbits at heights '$$R$$' and '$$2 R$$' above the surface of the earth. The ratio of their kinetic energies is ($$R=$$ radius of the earth)

A
$$1: 3$$
B
$$3: 2$$
C
$$4: 9$$
D
$$9: 4$$
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