In the equation 1pβ=ykBT, where p is the pressure, y is the distance, kB is Boltzmann constant and T is the temperature. Dimensions of β are [EAMCET 2013]
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a
[M-1L1T2]
b
[M0L2T0]
c
[M1L-1T-2]
d
[M0L0T0]
answer is B.
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Detailed Solution
Given equation, 1pβ=ykBTwhere, p = pressure, y = distance, kB = Boltzmann constant and T = temperature.Dimensions of [β]= Dimensions of kB[ Dimensions of T][ Dimensions of p][ Dimensions of y] =ML2 T-2 K-1[K]ML-1 T-2[L] = [M0L2T0]