JEE Main 202330 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2023
- Date
- 30 January
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Units and Dimensions
JEE Main 2023 · 30 January · Morning Shift · Physics · Units and Dimensions
Electric field in a certain region is given by → E = ( A x ^ 2 ^ i...
Electric field in a certain region is given by \overset{\to}{E} = \left(\dfrac{A}{{x}^{2}}\overset{^}{i} + \dfrac{B}{{y}^{3}}\overset{^}{j}\right). The SI unit of and are :
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
\overset{\to}{E} = \dfrac{A}{{x}^{2}}\overset{^}{i} + \dfrac{B}{{y}^{3}}\overset{^}{j}
Here, the units of is equal to unit of electric field.
The unit of electric field is .
So, the SI unit of is \left[\dfrac{A}{{x}^{2}}\right] = N{C}^{- 1} ⇒ \left[A\right] = N{m}^{2}{C}^{- 1}B