Question

CECKH THE CORRECTNESS OF FORMULA V=U+AT

Answer 1

The given equation is V=U+AT
 Dimensional formula of v=(M°LT^-1)
Dimensional formula of u=(M°LT^-1)
Dimensional formula of a=(M°LT^-2)
Dimensional formula of t=(M°L°T)
LSH=dimensional formula of v=(M°LT^-1)
RHS=dimensional formula of u+dimensional formula of a×dimensional formula of t
=(M°LT^-1)+(M°LT^-2)×(M°L°T)
=(M°LT^-1)+(M°LT^-1)
=2(M°LT^-1)
Since,2 is a dimensionless constant.
hence,LHS=RHS
Therefore the given relationship (equation0 is dimensionally correct