1
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

The acceleration due to gravity at height $$h$$ above the earth if $$h << \mathrm{R}$$ (Radius of earth) is given by

A
$$g^{\prime}=g\left(1-\frac{2 h}{R}\right)$$
B
$$g^{\prime}=g\left(1-\frac{2 h^{2}}{R^{2}}\right)$$
C
$$g^{\prime}=g\left(1-\frac{h^{2}}{2 R^{2}}\right)$$
D
$$g^{\prime}=g\left(1-\frac{h}{2 R}\right)$$
2
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be -

A
9L
B
8L
C
4L
D
3L
3
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

Given below are two statements:

Statement I: If $$\mathrm{E}$$ be the total energy of a satellite moving around the earth, then its potential energy will be $$\frac{E}{2}$$.

Statement II: The kinetic energy of a satellite revolving in an orbit is equal to the half the magnitude of total energy $$\mathrm{E}$$.

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

A
Both Statement I and Statement II are incorrect
B
Statement I is incorrect but Statement II is correct
C
Statement I is correct but Statement II is incorrect
D
Both Statement I and Statement II are correct
4
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

The weight of a body on the earth is $$400 \mathrm{~N}$$. Then weight of the body when taken to a depth half of the radius of the earth will be:

A
300 N
B
200 N
C
100 N
D
Zero
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