1
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

If earth has a mass nine times and radius twice to that of a planet P. Then $$\frac{v_{e}}{3} \sqrt{x} \mathrm{~ms}^{-1}$$ will be the minimum velocity required by a rocket to pull out of gravitational force of $$\mathrm{P}$$, where $$v_{e}$$ is escape velocity on earth. The value of $$x$$ is

A
1
B
3
C
2
D
18
2
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

Given below are two statements:

Statement I: Acceleration due to gravity is different at different places on the surface of earth.

Statement II: Acceleration due to gravity increases as we go down below the earth's surface.

In the light of the above statements, choose the correct answer from the options given below

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is false but Statement II is true
D
Statement I is true but Statement II is false
3
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1
A body weight $\mathrm{W}$, is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be :
A
$\frac{W}{91}$
B
$\frac{\mathrm{W}}{3}$
C
$\frac{\mathrm{W}}{100}$
D
$\frac{\mathrm{W}}{9}$
4
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

At a certain depth "d " below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height $$\mathrm{3 R}$$ above earth surface. Where $$\mathrm{R}$$ is Radius of earth (Take $$\mathrm{R}=6400 \mathrm{~km}$$ ). The depth $$\mathrm{d}$$ is equal to

A
5260 km
B
2560 km
C
640 km
D
4800 km
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