The image of point P when viewed from the top | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) When light passes through a glass slab of thickness $t$ and refractive index $\mu$,the normal shift in the position of the object is given by $\De

Vedclass · Accepted Answer

$1.0 \, cm$ above $P$

Vedclass · Answer

(D) When light passes through a glass slab of thickness $t$ and refractive index $\mu$,the normal shift in the position of the object is given by $\Delta x = t \left( 1 - \frac{1}{\mu} \right)$.In this problem,there are two slabs,each of thickness $t = 1.5 \, cm$ and refractive index $\mu = 1.5$.The total shift produced by both slabs is the sum of the individual shifts:$\Delta x_{total} = \Delta x_1 + \Delta x_2 = t_1 \left( 1 - \frac{1}{\mu_1} \right) + t_2 \left( 1 - \frac{1}{\mu_2} \right)$Substituting the given values:$\Delta x_{total} = 1.5 \left( 1 - \frac{1}{1.5} \right) + 1.5 \left( 1 - \frac{1}{1.5} \right)$$\Delta x_{total} = 1.5 \left( 1 - \frac{2}{3} \right) + 1.5 \left( 1 - \frac{2}{3} \right)$$\Delta x_{total} = 1.5 \left( \frac{1}{3} \right) + 1.5 \left( \frac{1}{3} \right) = 0.5 \, cm + 0.5 \, cm = 1.0 \, cm$.Therefore,the final image will be $1.0 \, cm$ above point $P$.

The image of point $P$ when viewed from the top of the slabs will be:

Similar Questions

What is lateral shift?

$A$ ray of light travelling through a rarer medium is incident at a very small angle $i$ on a glass slab,and after refraction,its velocity is reduced by $20 \%$. The angle of deviation is:

An air bubble in a glass slab $(\mu = 1.5)$ appears to be $5 \, cm$ deep when viewed through one face and $2 \, cm$ deep when viewed through the opposite face. What is the thickness of the slab in $cm$?

$A$ rectangular glass block is placed on a mark made on the surface of a table and is viewed from a vertical direction. If the refractive index of the glass is $\mu$ and its thickness is $d$,by what distance will the mark appear to be raised?

Vedclass Test Series

Exam Paper Generator

Online Exam Module