If A=B+ (C)/(D+E)the dimensions of B and Care [M^(0)LT^(-1)] and [M^(0)LT^(0)], respectively. Find the dimensions of A, D and E.

If A=B+ (C)/(D+E)the dimensions of B and Care [M^(0)LT^(-1)] and [M^(0

1.	If A=B+ (C)/(D+E)the dimensions of B and Care [M^(0)LT^(-1)] and [M^(0)LT^(0)], respectively. Find the dimensions of A, D and E.
Answer» `[A]= [M^(0)L^(0)T^(-1)], [D]= [T], [E]= [LT]` `[A]= [MLT^(0)], [D]= [T^(2)], [E]= [T^(2)]` `[A]= [M^(0)LT^(-1)], [D]= [MT], [E]= [MT]` `[A]= [M^(0)LT^(-1)], [D]= [T], [E]= [T]` Solution :As `A= B+ (C)/(D+E)` `:. [D]= [E]` `:. [A]= [B]= [(C)/(D+E)]= [(C)/(D)]= [(C)/(E)] :. [A]= [B]= [M^(0)LT^(-1)]` `[(C)/(D)]= [A]= [M^(0)LT^(-1) ]` `[D]= [E]= [(C)/(LT^(-1)] = ( [M^(0)LT^(0) ])/( [M^(0)LT^(-1) ])= [T]`