Optical path of a particular ray of light has travelled a distance of 3 cm in flint glass is same as that on travelling a distance ' x ' cm through another medium. The value of ' x

Question

Optical path of a particular ray of light has travelled a distance of 3 cm in flint glass is same as that on travelling a distance ' x ' cm through another medium. The value of ' x ' is [refractive index of flint glass = 1.6 , refractive index of another medium = 1.25 ]

TestHub · Accepted Answer

Optical path is defined as the product of the refractive index of the medium and the distance travelled in it.

Optical path in flint glass $= μ_{1} d_{1}$

Optical path in the other medium $= μ_{2} d_{2}$

Given that the optical paths are equal:

$μ_{1} d_{1} = μ_{2} d_{2}$

Substituting the given values:

$1.6 \times 3 = 1.25 \times x$

$4.8 = 1.25 x$

$x = \frac{4.8}{1.25} = 3.84$ cm

Answer: 3.84 cm

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