Question
Physics Question on physical world
In the relation, p=βαe−kθαZ p is pressure, Z is distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be
A
[M0L2T0]
B
[ML2T]
C
[ML0T−1]
D
[M0L2T−1]
Answer
[M0L2T0]
Explanation
Solution
[kθαZ]=[M0L0T0]
[α]=[Zkθ]
Further [ p ] = [βα]
∴[β]=[pα]=[Zpkθ]
Dimensions of k θ are that to energy. Hence,
[β]=[LML−1T−2ML2T−2]
=[M0L2T0]