Home
Class 11
PHYSICS
The relation p=(alpha)/(beta)e^((-alphaZ...

The relation `p=(alpha)/(beta)e^((-alphaZ)/(ktheta)` , where `p` is pressure, `Z` is distance, `k` is Boltzmann constant and `theta` is temperature. The dimensional formula of `beta` will be

A

`M^0L^0T^0`

B

`M^(-1)L^(-1)T^(-1)`

C

`M^0L^2T^0`

D

`M^(-1)L^1T^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

In the relation: P=(alpha)/(beta)e^(-(alphaZ)/(ktheta)),P is pressure Z is distance k is Boltzmann constant and theta is the temperature. The dimensional formula of beta will be

In the relation: P=(alpha)/(beta)e^(-(alphaZ)/(ktheta)),P is pressure Z is distance k is Boltzmann constant and theta ils the temperature. The dimensional formula of beta will bes

In the relation, P=alpha/beta e^((alphaZ)/(ktheta))P is pressure, Z is distance, k is Boltzmann constant and theta is the temperature. The dimensional formula of beta will be-

In the relaction p = (a)/(beta) e ^((aZ)/(k theta ) , p is pressure Z is distance .k is Boltamann constant and theta is the teperations . The dimensional formula of beta will be

In the equation ((1)/(pbeta))=(y)/(k_(B)T) , where p is the pressure, y is the distance, k_(B) is Boltzmann constant and T is the tempreture. Dimensions of beta are

The force of interaction between two atoms is given by F= alpha beta exp(-(x^2)/(alphakt)) , where x is the distance ,k is the Boltzmann constant and T is temperature and alpha " and " beta are two constans. The dimension of beta is :

F=alphabetae^((-(x)/(alphakt))) k = Boltzmann constant t = temperature x = distance The dimensions of beta is

The energy E of a particle varies with time t according to the equation E=E_0sin(alphat).e^((-alphat)/(betax)) , where x is displacement from mean position E_0 is energy at infinite position and alpha and beta are constants . Dimensional formula of alpha is

The equation of state of some gases can be expressed as (P + (a)/(V^(2))) = (R theta)/(V) where P is the pressure V the volume, theta The temperature and a and b are constant .The dimensional formula of a is

An equation is given as (p +(a)/(V^(2))) = b(theta)/(V) ,where p= pressure V= volumen and theta = absolute temperature. If a and b are constants, then dimensions of a will be