1
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1

Choose the incorrect statement from the following:

A
The linear speed of a planet revolving around the sun remains constant.
B
When a body falls towards earth, the displacement of earth towards the body is negligible.
C
The speed of satellite in a given circular orbit remains constant.
D
For a planet revolving around the sun in an elliptical orbit, the total energy of the planet remains constant.
2
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1

Given below are two statements : one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$.

Assertion A : Earth has atmosphere whereas moon doesn't have any atmosphere.

Reason R : The escape velocity on moon is very small as compared to that on earth.

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

A
$$\mathbf{A}$$ is false but $$\mathbf{R}$$ is true
B
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are correct but $$\mathbf{R}$$ is NOT the correct explanation of $$\mathbf{A}$$
C
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are correct and $$\mathbf{R}$$ is the correct explanation of $$\mathbf{A}$$
D
$$\mathbf{A}$$ is true but $$\mathbf{R}$$ is false
3
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1

A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing $$\mathrm{W}$$ on earth will weigh on that planet:

A
$$2^{2 / 3} \mathrm{~W}$$
B
W
C
$$2 \mathrm{~W}$$
D
$$2^{1 / 3} \mathrm{~W}$$
4
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1

The escape velocities of two planets $$\mathrm{A}$$ and $$\mathrm{B}$$ are in the ratio $$1: 2$$. If the ratio of their radii respectively is $$1: 3$$, then the ratio of acceleration due to gravity of planet A to the acceleration of gravity of planet B will be :

A
$$\frac{4}{3}$$
B
$$\frac{2}{3}$$
C
$$\frac{3}{4}$$
D
$$\frac{3}{2}$$
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