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(B) The formula for refraction at a spherical surface is $\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$.Here,the object distance $u = -

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infinity

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(B) The formula for refraction at a spherical surface is $\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R}$.Here,the object distance $u = -2.0 \, m$,the radius of curvature $R = +2.0 \, m$,and the refractive index of the first medium $\mu_1 = 1.0$ (air).For the upper part,$\mu_2 = 1.6$:$\frac{1.6}{v_1} - \frac{1.0}{-2.0} = \frac{1.6 - 1.0}{2.0} \Rightarrow \frac{1.6}{v_1} + 0.5 = 0.3 \Rightarrow \frac{1.6}{v_1} = -0.2 \Rightarrow v_1 = -8.0 \, m$.For the lower part,$\mu_2 = 2.0$:$\frac{2.0}{v_2} - \frac{1.0}{-2.0} = \frac{2.0 - 1.0}{2.0} \Rightarrow \frac{2.0}{v_2} + 0.5 = 0.5 \Rightarrow \frac{2.0}{v_2} = 0 \Rightarrow v_2 = \infty$.The separation between the images is $|v_2 - v_1| = |\infty - (-8.0)| = \infty$.

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