MHT CET · Physics · Units and Dimensions

In case of dimensions of electric field and electric dipole moment the power of mass is respectively.

A 1, 1
B 1, 0
C 0, 1
D 0, 0

Verified Solution

Answer & Solution

Correct Answer

(B) 1, 0

Step-by-step Solution

Detailed explanation

Electric field,

E = \frac{F}{q}

Where, F = force and q = electric charge
Dimension of E or

[E] = \frac{[M L T^{- 2}]}{[A T]} = [M L T^{- 3} A^{- 1}]

Power of mass = 1
Electric moment,

m = l \times A

where,

l

= current and A = area
Dimension of m = [M] =

[M^{0} L^{2} T^{0} A]

Hence, power of mass =0

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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