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Q.

[118]

Given two objects of mass M and m and the distance between them is r.


Is it true that the distance between two objects is reduced to 1/4, the force between them becomes 16 times?


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a

True

b

False 

answer is A.

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Detailed Solution

The above statement is True.
When the distance is reduced to 1/4th,
Using the formula of gravitational force,
          F = G Mmr2
Where G is the gravitational constant, M and m are the mass of the object (given) and r is the distance between them (given).
⇒ F’ =GMm((1/4 r)2 
⇒       F’ =16 G (Mm)r2
⇒      F’ =16 F
The force between the two objects becomes 16 times .
  
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