1
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1

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
+4
-1

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
+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
+4
-1

Every planet revolves around the sun in an elliptical orbit :-

A. The force acting on a planet is inversely proportional to square of distance from sun.

B. Force acting on planet is inversely proportional to product of the masses of the planet and the sun.

C. The Centripetal force acting on the planet is directed away from the sun.

D. The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit.

Choose the correct answer from the options given below :

A
C and D only
B
B and C only
C
A and D only
D
A and C only
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