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(B) The Fresnel distance $(z_F)$ is the distance at which ray optics is a good approximation for an aperture of size $a$ and wavelength $\lambda$. It

Vedclass · Accepted Answer

$15$

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(B) The Fresnel distance $(z_F)$ is the distance at which ray optics is a good approximation for an aperture of size $a$ and wavelength $\lambda$. It is given by the formula: $z_F = \frac{a^2}{\lambda}$.Given:Aperture $a = 0.3 \ cm = 0.3 	imes 10^{-2} \ m = 3 	imes 10^{-3} \ m$.Wavelength $\lambda = 6000 \ Å = 6000 	imes 10^{-10} \ m = 6 	imes 10^{-7} \ m$.Substituting the values into the formula:$z_F = \frac{(3 	imes 10^{-3})^2}{6 	imes 10^{-7}}$$z_F = \frac{9 	imes 10^{-6}}{6 	imes 10^{-7}}$$z_F = 1.5 	imes 10^1 = 15 \ m$.Therefore,the correct option is $B$.

The distance for which ray optics becomes a good approximation for an aperture of $0.3 \ cm$ and a light of wavelength $6000 \ Å$ is (in $m$)

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