Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A solid transparent sphere has a small, opaque dot at its centre. When observed from outside, the apparent position of the dot will be (1) the same as its actual position (2) independent of the refractive index of the sphere (3) farther away from the eye than its actual position (4) closer to the eye than its actual positionA) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: B
Solution :
\[\frac{{{\mu }_{2}}}{v}-\frac{{{\mu }_{1}}}{u}=\frac{{{\mu }_{2}}-{{\mu }_{1}}}{r}\] Here,\[{{\mu }_{1}}=\mu \]refractive index of glass, \[{{\mu }_{2}}=1\] \[u=-R=\]radius of sphere,\[r=-R\] \[\therefore \] \[\frac{1}{v}-\frac{\mu }{-R}=\frac{1-\mu }{-R}\] Or \[\frac{1}{v}-\frac{1}{-R}\] or \[v=-R\]
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