Question

if F is the force of attraction acting between two objects of mass M and m separated by a distance d , then which of the following is correct according to the Newton's law of gravitation ? (A) F ∝ Mm and F ∝ 1/d². (B) F ∝ Mm and F ∝ I/d³ (C) F ∝ M²m and F ∝1/d² (D) F ∝1/M²m² and F ∝ d ​

Answer 1

Answer

Correct option is

A

F/4

According to Sir Newton's gravitational law the magnitude of gravitational force F between objects of mass m  

1

​

  and m  

2

​

  separated by a distance R is given by  ,

         F=G  

R  

2

 

m  

1

​

m  

2

​

 

​

eq1 ,

now if the distance between them  is doubled i.e. 2R ,then the gravitational force will be ,

          F  

′

=G  

(2R)  

2

 

m  

1

​

m  

2

​

 

​

=G  

4R  

2

 

m  

1

​

m  

2

​

 

​

 ,

now by using eq1 ,

          F  

′

=F/4

Answer 2

Explanation:

correct option is :- (A)