Please solve 4 and 5th part . We have to check the correctness of the equations using method of dimensions . Thank you ??
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I am giving solution for fifth part only for For remaining queries, we request you to re-ask them in separate thread to
I am giving solution for fifth part only for For remaining queries, we request you to re-ask them in separate thread to
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G is gravitational constant.so, unit of G = Nm²/Kg²
G is gravitational constant.so, unit of G = Nm²/Kg²
and dimension of G = [M^-1L^3T^-2]
M is mass so, unit of M = kg
and dimension of M = [M]
R is radius so, unit of R = m
and dimension of R = [L]
v is velocity so, unit of v = m/s
and dimension of v = [LT^-1]
now, LHS = dimension of v = [LT^-1]
RHS = dimension of √{2GM/R}
= {dimension of G × dimension of M/dimension of R}½
= {[M^-1L^3T^-2][M]/[L]}½
= [LT^-1]
hence, LHS = RHS
so, formula is dimensionally correct.
Regards
Regards