$A$ gas satisfies the relation $P V^{5/3} = K$,where $P$ is pressure,$V$ is volume,and $K$ is a constant. The dimensions of constant $K$ are:

  • A
    $ML^4T^{-2}$
  • B
    $ML^2T^{-2}$
  • C
    $ML^6T^{-2}$
  • D
    $MLT^{-2}$

Explore More

Similar Questions

What is the dimension of Luminous flux?

The displacement of a progressive wave is represented by $y = A \sin(\omega t - kx)$,where $x$ is distance and $t$ is time. Write the dimensional formula of $(i)$ $\omega$ and $(ii)$ $k$.

Match the following two columns:
Column-$I$ Column-$II$
$(A)$ Electrical resistance $(p)$ $M L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential $(q)$ $M L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance $(r)$ $M L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance $(s)$ None of these

The dimension of $R$ (Resistance) is:

The dimensional formula of heat energy is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo