1
WB JEE 2022
+1
-0.25

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

A
0
B
2 ve
C
$$\sqrt3$$ ve
D
$$\sqrt2$$ ve
2
WB JEE 2021
+2
-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)
A
$${{RT} \over g}$$
B
$${{RT} \over Mg}$$
C
MgR
D
RTg
3
WB JEE 2019
+1
-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
A
$${2^{ - 2/3}}$$ R
B
$${2^{ 2/3}}$$ R
C
$${2^{ - 1/3}}$$ R
D
$${R \over {\sqrt 2 }}$$
4
WB JEE 2018
+1
-0.25
The ratio of accelerations due to gravity g1 : g2 on the surfaces of two planets is 5 : 2 and the ratio of their respective average densities $${{\rho _1}}$$ : $${{\rho _2}}$$ is 2 : 1. What is the ratio of respective escape velocities v1 : v2 from the surface of the planets?
A
5 : 2
B
$${\sqrt 5 }$$ : $${\sqrt 2 }$$
C
5 : 2$${\sqrt 2 }$$
D
25 : 4
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