1
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it take to complete one revolution :

A
20
B
50
C
100
D
25
2
JEE Main 2024 (Online) 29th January Morning Shift
+4
-1

At what distance above and below the surface of the earth a body will have same weight. (take radius of earth as $$R$$.)

A
$$\frac{\sqrt{3} R-R}{2}$$
B
$$\frac{R}{2}$$
C
$$\frac{\sqrt{5} R-R}{2}$$
D
$$\sqrt{5} R-R$$
3
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.

Reason (R) : The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

A
Both (A) and (R) are correct but (R) is not the correct explanation of (A)
B
(A) is correct but (R) is not correct
C
Both (A) and (R) are correct and (R) is the correct explanation of (A)
D
(A) is not correct but (R) is correct
4
JEE Main 2024 (Online) 27th January Morning Shift
+4
-1

The acceleration due to gravity on the surface of earth is $$\mathrm{g}$$. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

A
g/4
B
2g
C
g/2
D
4g
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