WB JEE 2023 | Gravitation Question 5 | Physics

An earth's satellite near the surface of the earth takes about 90 min per revolution. A satellite orbiting the moon also takes about $$90 \mathrm{~min}$$ per revolution. Then which of the following is true?

[where $$\rho_{\mathrm{m}}$$ is density of the moon and $$\rho_{\mathrm{e}}$$ is density of the earth.]

$$\rho_{\mathrm{m}}<\rho_{\mathrm{e}}$$

$$\rho_{m}>\rho_{e}$$

$$\rho_{m}=\rho_{e}$$

No conclusion can be made about the densities.

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

A body of mass m is thrown vertically upward with speed $$\sqrt3$$ v_e, where v_e is the escape velocity of a body from earth surface. The final velocity of the body is

2 v_e

$$\sqrt3$$ v_e

$$\sqrt2$$ v_e

WB JEE 2021

MCQ (Single Correct Answer)

-0.5

An ideal gas of molar mass M is contained in a very tall vertical cylindrical column in the uniform gravitational field. Assuming the gas temperature to be T, the height at which the centre of gravity of the gas is located is (R$$\to$$universal gas constant)

$${{RT} \over g}$$

$${{RT} \over Mg}$$

MgR

RTg

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

Assume that the earth moves around the sun in a circular orbit of radius R and there exists a planet which also move around the sun in a circular orbit with an angular speed twice as large as that of the earth. The earth of the orbit of the planet is

$${2^{ - 2/3}}$$ R

$${2^{ 2/3}}$$ R

$${2^{ - 1/3}}$$ R

$${R \over {\sqrt 2 }}$$

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