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Question

The adiabatic and isothermal elasticities Bϕ and Bθ are related as :
  1. BϕBθ=γ
  2. BθBϕ=γ
  3. BϕBθ=γ
  4. BθBϕ=γ

A
BθBϕ=γ
B
BϕBθ=γ
C
BϕBθ=γ
D
BθBϕ=γ
Solution
Verified by Toppr

Bulk modulus= B=V (dPdV)
For adiabatic process, dPdV=γPV
Thus, Bϕ=γP
For isothermal process, dPdV=PV
Thus, Bθ=P
So, BϕBθ=γ

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