Correct Answer: Option D

Explanation

Total emf in the circuit (E) =  2.0 - 1.5 = 0.5V ( due to nature of the connection; +ve terminal to -ve terminal)

Total resistance in the circuit(both r & R) = 7 + 1 + x = 8 + x 

Using, E = I(R + r)

E = I(R + r) 

0.5 = 50 x 10\(^{-3}\)(8 + x)

8 + x = \(\frac{0.5}{50 \times 10^{-3}}\)

8 + x = 10

x = 10 - 8 = 2 \(\Omega\)

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