AP EAMCET202422 May 2024Evening ShiftPhysicsUnits and DimensionsActual
In the equation ( P + a ~V ^2 )( V -b)= RT , where P is pressure, V is volume, T is temperature, R is universal gas constant, a and b are constants. The dimensions of a are
Options
- AML ⁻¹ ~T ⁻²
- BML ^5 ~T ⁻²
- CM ^0 ~L ^3 ~T ^0
- DML ^3 ~T ⁻²
Correct answer
B. ML ^5 ~T ⁻²
Step-by-step solution
( P + a V ^2 )( V - b )= RT By principle of homogeneity, aligned & [ p ]= [ a v ^2 ] & [ a ]=[ pV ][ V ]= [ ML ^2 ~T ⁻² ] [ L ^3 ]= [ M ~L ^5 ~T ⁻² ] aligned