Question

please solve it only (b) &(d) ​

Answer 1

Answer:

Explanation:

I recognise these from Resonance modules.

(b) $\gamma$ is dimensionless. From IGE, nRT=PV, so PV has same dimensions as RT.

So in (b), $[v]=\sqrt{\frac{[PV]}{[M]}}=\sqrt{\frac{\frac{[M][L]}{[T]^2[L]^2}[L]^3}{[M]}}=\sqrt{[L]^2[T]^{-2}}=[L][T]^{-1}$

This is correct dimensions for the speed on LHS. So (b) is correct.

(d)$[f]=\sqrt{\frac{[m][g][l]}{[I]}}\\=\sqrt{\frac{[M][L][L]}{[T]^2[M][L]^2}}=\sqrt{[T]^{-2}}=[T]^{-1}$

This is correct dimension of frequency, so this is correct option.

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