Question

both ques with solution

Answer 1

27.
Force - [M][L]^1^/[T]^2= 10 N - Eq.(1)

Energy - [M][L]^2/[T]^2 = 100 J --Eq.(2)

Velocity -[L][T]^-1 = 5 m/s --Eq.(3)

(I am not putting square brackets from now bcuz it takes time, plz understand it without the brackets)

Eq.1/Eq.2 =
[M][L]/[T]^2/ [M][L]^2/[T]^2 = 10/100

L/L² = 10/100
L = 100/10 = 10 m

Putting in Eq.3

10 /T = 5
T = 10/5 = 2 s

Similarly find mass by substitution,
it will be 4 kg

So, the answer is (B)

28. Dimensional formula of Inductance, L=[ML²Q^-2]
Dimensional formula of Capacitance, C=[M^-1L^-2T^2Q^2]
Dimensional formula of √LC =[[ML^2Q^−2][M^−1L^−2T^2Q^2]]^1/2
Dimensional formula of √LC=[T^2]^1/2
Dimensional formula of √LC=T
So, Dimensional formula of LC = T²