A cell gives a current of 0.15A through a resistance of 8(Omega) and 0.3A. When the resistance is changed to 3(Omega) the internal resistance of the cell is
-
A.
0.05(Omega) -
B.
1.00(Omega) -
C.
1.50(Omega) -
D.
2.00(Omega) -
E.
2.50(Omega)
Correct Answer: Option D
Explanation
The E.M.F of a circuit is given by
(E=I(R+r))
Hence, E = 0.15(8+r) = 0.3(3+r)
1.2 + 0.15r = 0.9 + 0.3r
1.2 – 0.9 = 0.3r – 0.15r
0.3 = 0.15r
r = (frac{0.3}{0.15})
r = 2(Omega)