JEE Advanced 2021Paper 2
- Exam
- JEE Advanced
- Year
- 2021
- Paper
- Paper 2
- Subject
- Physics
- Chapter
- Units and Dimensions
JEE Advanced 2021 · Paper 2 · Physics · Units and Dimensions
A physical quantity → S is defined as → S = ( → E × → B ) μ _ 0 ....
A physical quantity is defined as . where is electric field, is magnetic field and is the permeability of free space. The dimensions of are the same as the dimensions of which of the following quantity/quantities?
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Dimension of&
Dimensions of ,~
Dimension of Electric field& \left(E\right), \left[E\right] = {MA}^{- 1}{LT}^{- 3}
Dimension of magnetic permeability~\left({μ}_{0}\right); \left[{μ}_{0}\right] = {MA}^{- 2}T^{- 2}L</p><p>Therefore,~dimensions of&S,\left[S\right] = \left[\dfrac{EB}{\mu0}\right] = \dfrac{\left({MA}^{- 1}{LT}^{- 3}\right)\left({MA}^{- 1}T^{- 2}\right)}{{MA}^{- 2}T^{- 2}L} = {MT}^{- 3}