1.

The pressure and density of gas (gamma =(7)/(5)) changes adiabatically from (P, rho)" to "(P',rho'). If (rho')/(rho)=32, then find the ratio of (P')/(P) :

Answer»

128
32
`(1)/(128)`
`(1)/(32)`

Solution :For adiabatic process `P_(1)V_(1)^(GAMMA) =P_(2)V_(2)^(gamma)`
`therefore (P_(2))/(P_(1))=((V_(1))/(V_(2)))^(gamma) RARR (P.)/(P)=((m//rho)/(m/rho.))^(gamma)`
`(P.)/(P) =((rho.)/(rho))^(7//5) =(32)^(7//5)=(2^(5))^(7//5)=2^(7)`
`(P.)/(P) =132`
THUS, CORRECT choice is (a)


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