1
JEE Main 2023 (Online) 30th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If the gravitational field in the space is given as $$\left(-\frac{K}{r^{2}}\right)$$. Taking the reference point to be at $$\mathrm{r}=2 \mathrm{~cm}$$ with gravitational potential $$\mathrm{V}=10 \mathrm{~J} / \mathrm{kg}$$. Find the gravitational potential at $$\mathrm{r}=3 \mathrm{~cm}$$ in SI unit (Given, that $$\mathrm{K}=6 \mathrm{~Jcm} / \mathrm{kg}$$)

A
9
B
11
C
10
D
12
2
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.

A
12 hours
B
3 hours
C
6 hours
D
4 hours
3
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

Two particles of equal mass '$$m$$' move in a circle of radius '$$r$$' under the action of their mutual gravitational attraction. The speed of each particle will be :

A
$$\sqrt{\frac{G m}{4 r}}$$
B
$$\sqrt{\frac{G m}{2 r}}$$
C
$$\sqrt{\frac{G m}{r}}$$
D
$$\sqrt{\frac{4 G m}{r}}$$
4
JEE Main 2023 (Online) 25th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II

List I List II
A. Troposphere I. Approximate 65-75 km over Earth's surface
B. E-Part of Stratosphere II. Approximate 300 km over Earth's surface
C. F$$_2$$-Part of Thermosphere III. Approximate 10 km over Earth's surface
D. D-Part of Stratosphere IV. Approximate 100 km over Earth's surface

Choose the correct answer from the options given below :

A
A-III, B-IV, C-II, D-I
B
A-III, B-II, C-I, D-IV
C
A-I, B-IV, C-III, D-II
D
A-I, B-II, C-IV, D-III
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