A solid, transparent sphere has a small, opaque dot at its centre. Whe

1.	A solid, transparent sphere has a small, opaque dot at its centre. When observed from outside, the apparent position of the dot will be (a) closer to the eye than its actual position (b) farther away from the eye than its actual position (c) the same as its actual position (d) independent of the refractive index of the sphere
Answer» Correct Answer is: (c, d) μ₂/v - μ₁/u = μ₂ - μ₁ / r. Here, μ₁ = μ refractive index of glass, μ₂ = 1, u = -R = radius of sphere, r = -R. 1/v - μ/-R = 1 - μ / -R or 1/v = 1/-R or v =v- R.

A solid, transparent sphere has a small, opaque dot at its centre. When observed from outside, the apparent position of the dot will be (a) closer to the eye than its actual position (b) farther away from the eye than its actual position (c) the same as its actual position (d) independent of the refractive index of the sphere

Answer»

Correct Answer is: (c, d)

μ₂/v - μ₁/u = μ₂ - μ₁ / r.

Here, μ₁ = μ refractive index of glass, μ₂ = 1, u = -R = radius of sphere, r = -R.

1/v - μ/-R = 1 - μ / -R

or 1/v = 1/-R

or v =v- R.

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