The potential difference across the terminals of a battery is 50 V when 11 A current is drawn and 60 V, when 1A current is drawn . The emf the battery is

Options

A. 62 V
B. 63 V
C. 61 V
D. 64 V

Answer

C

Explanation

For a closed circuit, cell supplies a constant current in the circuit,

Equation of cell, E = V + lr
For V = 50 V …..(i)
E = 50 + 11r
Similarly, for V = 60 V
E = 60 + r ….(ii)
From Eqs. (i) and (ii), we get
E = 61 V