In a dam, if we doubled the depth of the dam the hydrostatic force will be ?
a) 4f
b) f/2
c) 2f
d) f/4

Option (A) is the correct answer.

Explanation:

Force acting on a dam is as follows.

                  F = .......... (1)

Now, when we double the depth then it means H is increasing 2 times and then the above relation will be as follows.

                F' =

               F' = ........... (2)

Now, dividing equation (1) by equation (2) as follows.

          =  

Cancelling the common terms we get the following.

                  =    

                   4F = F'

Thus, we can conclude that if doubled the depth of the dam the hydrostatic force will be 4F.

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answer; natural resources;