Question

The correct order in which the dimensions of "length" decreases in the following physical quantities is
a) Coefficient of viscocity
b) Thermal capacity
c) Escape velocity
d) Density

• A. b, c, a, d
• B. a, b, c, d
• C. c, d, b, a
• D. a, d, c, b

Answer 1

The correct option is A b, c, a, d

a) Coefficient of viscosity $=\frac{ML{T}^{-2}\times L}{\left(L^2\right)\left(L{T}^{-2}\right)}=M{L}^{-1}{T}^{-3}$
b) Thermal capacity $=M{L}^2{T}^{-2}{T}^{-1}\to$(temperature)
c) Escape velocity $=L{T}^{-2}$
d) Density $=M{L}^{-3}$
So, dimension of length in $b>c>a>d$.