The Vander Waal Equation For n moles Of A Real Gas Is                                 Where P Is The Pressure, V Is The Volume, T Is The Absolute Temperature, R Is The Molar Gas Constant And a, b are Vander Waal Constants. The Dimensions Of a are The Same As Those Of

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.




The Vander Waal equation for n moles of a real gas is 


Where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and ab are Vander Waal constants. The dimensions of a are the same as those of


Correct option is



From the principle of homogeneity, the dimensions of  must be the same as those of P, i.e. dimensions of 

∴ dimensions of a = dimensions of PV2.




According to the quantum theory, the energy E of a photon of frequency v is given by 


Where h is Plank’s constant. What is the dimensional formula for h?


What is the SI unit of Plank’s constant?



The volume V of water passing any point of a uniform tube during tseconds is related to the cross-sectional area A of the tube and velocity uof water by the relation  


Which one of the following will be true?


Which one of the following relations is dimensionally consistent where h is height to which a liquid of density ρ rises in a capillary tube of radius, rTis the surface tension of the liquid, θ the angle of contact and g the acceleration due to gravity?



The frequency n of vibrations of uniform string of length l and stretched with a force F is given by


Where p is the number of segments of the vibrating string and m is a constant of the string. What are the dimensions of m?


What is the relationship between dyne and Newton of force?



When a wave traverses a medium, the displacement of a particle located atx at time t is given by 


Where ab and c are constants of the wave. Which of the following are dimensionless quantities?


In velocity (V), acceleration (A) and force (F) are taken as fundamental quantities instead of mass (M), length (L) and time (T), the dimensions of Young’s modulus would be


The dimensions of permittivity (ε0) of vacuum are