During an experiment, an ideal gas is found to obey an additional law `VP^2=constant,` The gas is initially at a temprature T, and volume V. When it expands to a volume `2V,` the temperature becomes…….

Answer

B

Explanation

`PV=RT(Ideal gas equation)`
`rArrP=(RT)/V….(i)`
Given that `VP^2=const …..(ii)`
From (i) and (ii) `:. (T^2)/V=const.`
`:. (T_1^2)/(V_1)=(T_2^2)/(V_2) rArr T_2=T_1sqrt((V_2)/(V_1))=Tsqrt((2V)/V)=sqrt2T`