Q1 of 11 Page 67

If the distance between two bodies that attract each other is trebled, how many times will their mutual force of attraction be?

(9 times, 3 times, 1/3, 1/9).

The correct option is .
Explanation:

The mutual force of attraction between two bodies is inversely


proportional to the square of the distance between them.


where r = distance between the two bodies.


Thus, if the distance is tripled (3×), the mutual force of attraction will


become 1/9th of its original value.


Using the formula:



Now, r becomes 3r after tripling and F becomes F’ ,
as


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