Solve this-Q47- Check by the method of dimensional analysis whether the following relation is correct- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp-v - nbsp-PD nbsp-where v - velocity of sound and nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp-p - pressure- D - density of medium- nbsp-

Dear #160;student.v=LT 1P=ML 1T 2D=ML 3PD=ML 1T 2ML 3=LT 1Hence #160;LHS=RHSRegards ...

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Standard XII

Physics

Bulk Modulus

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Q47. Check by the method of dimensional analysis whether the following relation is correct.

v = $\sqrt{\frac{P}{D}}$ where v = velocity of sound and

p = pressure, D = density of medium.

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Solution

$D e a r s t u d e n t . v = L T^{- 1} P = M L^{- 1} T^{- 2} D = M L^{- 3} \sqrt{\frac{P}{D}} = \sqrt{\frac{M L^{- 1} T^{- 2}}{M L^{- 3}}} = L T^{- 1} H e n c e L H S = R H S R e g a r d s$

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Solve this: Q47. Check by the method of dimensional analysis whether the following relation is correct. v = PD where v = velocity of sound and p = pressure, D = density of medium.

Dear student.v=LT-1P=ML-1T-2D=ML-3PD=ML-1T-2ML-3=LT-1Hence LHS=RHSRegards

Solve this:

Q47. Check by the method of dimensional analysis whether the following relation is correct.

v = $\sqrt{\frac{P}{D}}$ where v = velocity of sound and

p = pressure, D = density of medium.

$D e a r s t u d e n t . v = L T^{- 1} P = M L^{- 1} T^{- 2} D = M L^{- 3} \sqrt{\frac{P}{D}} = \sqrt{\frac{M L^{- 1} T^{- 2}}{M L^{- 3}}} = L T^{- 1} H e n c e L H S = R H S R e g a r d s$