Which of the following quantities have dimensions of $\frac{{\pi {{\Pr }^4}}}{{3Ql}}:$ ( $Q =$ Volume flow rate in $m^3/s$ and $P =$ pressure)
Which of the following quantities have dimensions of $\frac{{\pi {{\Pr }^4}}}{{3Ql}}:$ ( $Q =$ Volume flow rate in $m^3/s$ and $P =$ pressure)
- A
Surface tension
- B
Coefficient of viscosity
- C
Energy
- D
Power
Similar Questions
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 $(ii)$ $k$.
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 $(ii)$ $k$.
Dimensions of the following three quantities are the same
Dimensions of the following three quantities are the same
In a system of units if force $(F)$, acceleration $(A) $ and time $(T)$ are taken as fundamental units then the dimensional formula of energy is
In a system of units if force $(F)$, acceleration $(A) $ and time $(T)$ are taken as fundamental units then the dimensional formula of energy is
The dimensions of universal gravitational constant are
The dimensions of universal gravitational constant are
- [AIPMT 2004]
Match List $I$ with List $II$
List $I$
List $II$
$(A)$ Young's Modulus $(Y)$
$(I)$ $\left[ M L ^{-1} T ^{-1}\right]$
$(B)$ Co-efficient of Viscosity $(\eta)$
$(II)$ $\left[ M L ^2 T ^{-1}\right]$
$(C)$ Planck's Constant $(h)$
$(III)$ $\left[ M L ^{-1} T ^{-2}\right]$
$(D)$ Work Function $(\phi)$
$(IV)$ $\left[ M L ^2 T ^{-2}\right]$
Choose the correct answer from the options given below:
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $(A)$ Young's Modulus $(Y)$ | $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$ |
| $(B)$ Co-efficient of Viscosity $(\eta)$ | $(II)$ $\left[ M L ^2 T ^{-1}\right]$ |
| $(C)$ Planck's Constant $(h)$ | $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$ |
| $(D)$ Work Function $(\phi)$ | $(IV)$ $\left[ M L ^2 T ^{-2}\right]$ |
Choose the correct answer from the options given below:
- [JEE MAIN 2023]