JEE Main20252 Apr 2025Evening ShiftPhysicsUnits and DimensionsActual

Given a charge q , current I and permeability of vacuum ₀ . Which of the following quantity has the dimension of momentum?

Options

AqI / ₀
Bq ₀ I
Cq^2 ₀ I
Dq ₀ / I

Correct answer

B. q ₀ I

Step-by-step solution

aligned & Q = AT & I = A & ₀= MLT ⁻² ~A ⁻² & P = Q ^ x ₀^ y I ^ z =[ AT ]^ x [ MLT ⁻² ~A ⁻² ]^ y [ A ]^ z & MLT ⁻¹= M ^ y L ^ y T ^ x -2 y A ^ -2 y + z+x & Now; y =1 & x -2 y =-1 & -2 y + z =0 & x = y = z =1 aligned

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