Universal law of gravitation and the gravitational constant — NEET & JEE Questions

Question 1 · difficulty L1 · recall

Newton's universal law of gravitation gives the force between two point masses as

• A. $F=\dfrac{Gm_1m_2}{r^2}$
• B. $F=\dfrac{Gm_1m_2}{r}$
• C. $F=Gm_1m_2r^2$
• D. $F=\dfrac{m_1m_2}{Gr^2}$

Question 2 · difficulty L2 · understanding

The gravitational force between two masses is

• A. always attractive
• B. always repulsive
• C. zero for unequal masses
• D. independent of distance

Question 3 · difficulty L2 · understanding

The SI unit of gravitational constant G is

• A. $N\,m^2\,kg^{-2}$
• B. $N\,m\,kg^{-1}$
• C. $kg\,m\,s^{-1}$
• D. $m\,s^{-2}$

Question 4 · difficulty L2 · understanding

If the distance between two point masses is doubled, the gravitational force becomes

• A. one-fourth
• B. one-half
• C. twice
• D. four times

Question 5 · difficulty L3 · application

Two masses exert gravitational force F at separation r. If one mass is doubled and separation unchanged, the new force is

• A. 2F
• B. F/2
• C. 4F
• D. F

Question 6 · difficulty L3 · application

Two masses exert force F. If both masses are doubled while separation stays fixed, the force becomes

• A. 4F
• B. 2F
• C. 8F
• D. F/4

Question 7 · difficulty L3 · application

If separation between two masses becomes three times larger, the gravitational force becomes

• A. F/9
• B. F/3
• C. 3F
• D. 9F

Question 8 · difficulty L3 · application

Two identical masses m are separated by distance r. If each mass becomes 2m and the distance becomes 2r, how does the force change?

• A. It remains F
• B. It becomes 2F
• C. It becomes 4F
• D. It becomes F/2

Question 9 · difficulty L4 · application

A 2 kg and 3 kg mass are 1 m apart. Using $G=6.67\times10^{-11}$ SI, the force is approximately

• A. $4.0\times10^{-10}$ N
• B. $2.0\times10^{-10}$ N
• C. $6.7\times10^{-11}$ N
• D. $4.0\times10^{-11}$ N

Question 10 · difficulty L4 · application

Which statement about G is correct?

• A. It is universal and does not depend on the masses or medium in Newtonian gravitation
• B. It changes when masses change
• C. It is the same quantity as local g
• D. It has no units