A gavanometer of `50 Omega` resistance has 25 divisions. A current of `4xx10^(-4)` A gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of `25 V`, it should be connected with a resistance of

Explanation

(i) `COLM rArr (m + m) xx 0 + Mv = (M + 2m)v_(1) v_(1) = ((M)/(M + 2m))v`
(ii) `COME rArr (1)/(2) MV^(2) = [(1)/(2) m(v_(1)^(2) + v_(2)^(2))] xx 2 + (1)/(2) mv_(1)^(2)`
Net velocity `v_(0) = sqrt(v_(1)^(0) + v_(2)^(2)) = v (sqrt(2M(M + m))/((M + 2m)))`