Gravitation Question 93
Question: Assertion: When distance between two bodies is doubled and also mass of each body is also doubled, gravitational force between them remains the same. Reason: According to Newton’s law of gravitation, force is directly proportional to mass of bodies and inversely proportional to square of distance between them.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: A
Solution:
According to Newton’s law of gravitation, $ [F=\frac{Gm_{1}m_{2}}{r^{2}}] $ . When $ [m_{1},,m_{2}] $ and $ [r_{2}] $ all are doubled, $ [F=\frac{G(2m_{1})(2m_{2})}{{{(2r)}^{2}}}=\frac{Gm_{1}m_{2}}{r^{2}}] $ , i.e. F remains the same.
