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Q.

The dimensions of emf in MKS is

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a

b

c

d

answer is D.

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Detailed Solution

Concept: In this question, we need to find out the dimension of electromotive force,
As we know the formula of

, where W is work done and Q is charge.
Now, W=Fd, where F=Force and d= displacement
Since F= ma (m=mass and a=acceleration)
m= mass = [M]…….(i)
Acceleration’s unit is

So, a =

……….(ii)
Also, displacement d= [L]……….(iii)
And for charge Q = [Q]……..(iv)
Now, from (i) (ii) (iii) (iv)
e =

e =

Hence, the dimension of emf is option (4)

.

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The dimensions of emf in MKS is