The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $\mathrm{h} / \sqrt{2 m E}$ The dimensional formula for Planck's constant is:
- [JEE MAIN 2024]
- A$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$
- B$\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]$
- C$\left[\mathrm{MLT}^{-2}\right]$
- D$\left[\mathrm{M}^2 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$
Similar Questions
The dimensions of the product $\mu_{0} \varepsilon_{0}$ are related to those of velocity as
Match List$-I$ with List$-II$.
List$-I$
List$-II$
$(A)$ Angular momentum
$(I)$ $\left[ ML ^2 T ^{-2}\right]$
$(B)$ Torque
$(II)$ $\left[ ML ^{-2} T ^{-2}\right]$
$(C)$ Stress
$(III)$ $\left[ ML ^2 T ^{-1}\right]$
$(D)$ Pressure gradient
$(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$
Choose the correct answer from the options given below:
| List$-I$ | List$-II$ |
| $(A)$ Angular momentum | $(I)$ $\left[ ML ^2 T ^{-2}\right]$ |
| $(B)$ Torque | $(II)$ $\left[ ML ^{-2} T ^{-2}\right]$ |
| $(C)$ Stress | $(III)$ $\left[ ML ^2 T ^{-1}\right]$ |
| $(D)$ Pressure gradient | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |
- [JEE MAIN 2023]
The dimensions of pressure are
- [AIPMT 1994]
The quantities $\quad x=\frac{1}{\sqrt{\mu_{0} \epsilon_{0}}}, y=\frac{E}{B}$ and $z=\frac{l}{C R}$ are defined where $C-$ capacitance $R-$Resistance, $l-$length, $E-$Electric field, $B-$magnetic field and $\varepsilon_{0}, \mu_{0},$ -free space permittivity and permeability respectively. Then....
- [JEE MAIN 2020]
The dimensional formula for Planck's constant $(h)$ is
- [IIT 1985]