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Electric field in a certain region is given by E → = A x 2 i ^ + B y 3 j ^ . The SI unit of A and B are :

Options

  1. AN   m 3   C - 1 ;   N   m 2   C - 1
  2. BN   m 2   C - 1 ;   N   m 3   C - 1
  3. CN   m 3   C ;   N   m 2   C
  4. DN   m 2   C ;   N   m 3   C

Correct answer

B. N   m 2   C - 1 ;   N   m 3   C - 1

Step-by-step solution

E → = A x 2 i ^ + B y 3 j ^ Here, the units of A x 2 and B y 3 is equal to unit of electric field. The unit of electric field is N   C - 1 . So, the SI unit of A is A x 2 = N   C - 1 ⇒ A = N   m 2   C - 1 And the SI unit of B is B y 3 = N   C - 1 ⇒ B = N   m 3   C - 1

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