Question

Find the value of A B.Force (F) and density (d) are related as: F= A/(B + √d). Find the dimensions of A and B.​

Answer 1

Explanation:

As B and √d are added, they must have same dimensions. So,

[B] = [d^(1/2)]

     = [ML^(-3) ] ^(1/2)

     = [M^(1/2)  L^(-3/2) ]

And,  F = A/(B + √d)  ⇒ F(B + √d) = A

⇒ [F] * [B or √d] = [A]

⇒ [MLT^(-2)] * [M^(1/2) L^(-3/2)] =[A]

⇒ [M^(3/2) L^(-1/2) T^(-2)]=[A]