NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Motion in One Dimension
NEET · Physics · Motion in One Dimension
Match the physical quantities given in List - I with dimensions in...
Match the physical quantities given in List - I with dimensions in List - II.
| List - I | List - II | ||
| A | Gravitational potential | I | |
| B | Stefan's constant | II | |
| C | Permittivity | III | |
| D | Specific heat capacity | IV |
(The dimensions of mass, length, time, temperature and current are and respectively)
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
\left[GravitationalPotential\right] = \left[\dfrac{GravitationalPotentialEnergy}{mass}\right]= \dfrac{{ML}^{2}{T}^{- 2}}{M} = {M}^{0}{L}^{2}{T}^{- 2}
Permittivity \left({ε}_{0}\right)F = \dfrac{1}{4\pi{ε}_{0}}\dfrac{{q}^{2}}{{r}^{2}}∴ \left[{ε}_{0}\right] = \left[\dfrac{1}{4\piF}\dfrac{{q}^{2}}{{r}^{2}}\right]= \dfrac{{I}^{2}{T}^{2}}{{MLT}^{- 2} \cdot {L}^{2}} = {M}^{- 1}{L}^{- 3}{T}^{4}{I}^{2}