The optical path of a particular ray of light | vedclass

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(A) The optical path length is defined as the product of the refractive index $(\mu)$ and the geometric distance $(d)$ travelled by the light in that

Vedclass · Accepted Answer

$3.84$

Vedclass · Answer

(A) The optical path length is defined as the product of the refractive index $(\mu)$ and the geometric distance $(d)$ travelled by the light in that medium.Given that the optical paths are equal:$\mu_{g} x_{g} = \mu_{m} x_{m}$Where $\mu_{g} = 1.6$ is the refractive index of flint glass, $x_{g} = 3 \ cm$ is the distance in flint glass, $\mu_{m} = 1.25$ is the refractive index of the other medium, and $x_{m} = x$ is the distance in the other medium.Substituting the values:$1.6 	imes 3 = 1.25 	imes x$$4.8 = 1.25 	imes x$$x = \frac{4.8}{1.25} = 3.84 \ cm$Therefore, the value of '$x$' is $3.84 \ cm$.

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