Two conducting wires X and Y of same diameter but different materials are joined in series across a battery. If the number density of electrons in X is twice that in Y, find the ratio of drift velocity of electrons in the two wires.

Explanation

Here `n_X=2n_Y` and `A_X= A_Y = A (say)`
In a series circuit the electric current flowing through the entire circuit is exactly same, hence
`I = n_X Ae (v_d)_x = n_Y A e(v_d)_Y`
`rArr ((v_d)_X)/((v_d)_Y) = (n_Y)/(n_X) = (n_Y)/(2n_Y) = 1/2 `