A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. The refractive index of glass is 1.5. The rays converge to a point at a distance cm from the centre of curvatu

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Solution

Q.
A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. The refractive index of glass is 1.5. The rays converge to a point at a distance $x$ cm from the centre of curvature of the spherical surface. The value of $x$ is ______ cm. [2026]

Ans.
(100)

$\frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R} \Rightarrow \frac{1.5}{v} - \frac{1}{\infty} = \frac{1.5 - 1}{50}$

$V = 150 cm$

$x \to measure from center$

$x = V - R$

$= 150 - 50 = 100 cm$

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