In an adiabatic process, the density of a diatomic gas becomes $32$ times its initial value. The final pressure of the gas is found to be $n$ times the initial pressure. The value of $n$ is

  • [JEE MAIN 2020]
  • A

    $326$

  • B

    $\frac{1}{32}$

  • C

    $32$

  • D

    $128$

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  • [AIEEE 2006]

Match List$-I$ with List$-II$

List$-I$ List$-II$
$(a)$ Isothermal $(i)$ Pressure constant
$(b)$ Isochoric $(ii)$ Temperature constant
$(c)$ Adiabatic $(iii)$ Volume constant
$(d)$ Isobaric $(iv)$ Heat content is constant

Choose the correct answer from the options given below

  • [JEE MAIN 2021]