Question

Ratio of pressures exerted by two gases is 4 : 3 and their densities are in the ratio 3 : 4. The ratio of their R.M.S. velocities is ____________.

विकल्प

• 3 : 2

• 1 : 3

• 1

• 6 : 8

Answer 1

Ratio of pressures exerted by two gases is 4 : 3 and their densities are in the ratio 3 : 4. The ratio of their R.M.S. velocities is 1.

Explanation:

`"Using, P" = 1/3 rho  "v"_"rms"^2`

`"P"_1/"P"_2 = rho_1/rho_2 xx ("v"_"rms"^2)_1/("v"_"rms"^2)_2`

`therefore (("v"_"rms")_1/("v"_"rms")_2)^2`

` = ("P"_1/"P"_2) xx (rho_2/rho_1)`

` = 4/3 xx 3/4 = 1`

`("v"_"rms")_1/("v"_"rms")_2 = 1`