A coin is placed at the bottom of a glass sla | vedclass

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

Question

(C) The apparent depth $d'$ of an object seen through multiple slabs is given by $d' = \sum \frac{x_i}{\mu_i}$.Here,the total apparent depth of the co

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(C) The apparent depth $d'$ of an object seen through multiple slabs is given by $d' = \sum \frac{x_i}{\mu_i}$.Here,the total apparent depth of the coin as seen from the top is the sum of the apparent depths through each slab.The coin is at the bottom of the slab with refractive index $\mu_1 = 3$ and thickness $x$.The slab with refractive index $\mu_2 = \mu$ and thickness $x$ is placed on top.The apparent depth of the coin is $d' = \frac{x}{\mu_1} + \frac{x}{\mu_2}$.Given that the coin appears to be at the interface of the two slabs,the apparent depth $d'$ must be equal to the thickness of the top slab,which is $x$.Therefore,$x = \frac{x}{3} + \frac{x}{\mu}$.Dividing both sides by $x$,we get $1 = \frac{1}{3} + \frac{1}{\mu}$.$\frac{1}{\mu} = 1 - \frac{1}{3} = \frac{2}{3}$.$\mu = \frac{3}{2} = 1.5$.

$A$ coin is placed at the bottom of a glass slab of refractive index $3$ and thickness $x$. Another glass slab of refractive index $\mu$ and thickness $x$ is placed on top of it. If the coin appears to be at the interface of the two slabs,then $\mu = $ . . . . . .

Similar Questions

$A$ fish and a bird are moving as shown in the figure. Find the velocity of the bird as observed by the fish.

$A$ monochromatic ray of light travels through a glass slab and a water column. The number of waves in a glass slab of thickness $4 \ cm$ is the same as in a water column of height $5 \ cm$. If the refractive index of glass is $\frac{5}{3}$,then the refractive index of water is:

When the same monochromatic ray of light travels through a glass slab and through water,the number of waves in a glass slab of thickness $5 \ cm$ is the same as in a water column of height $6 \ cm$. If the refractive index of glass is $1.56$,then the refractive index of water is:

The time taken by sunlight to cross a $5 \,mm$ thick glass plate $(\mu = 3/2)$ is

$A$ microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\mu = \frac{5}{3}$ is poured inside the bucket,then the microscope has to be raised by $30\,cm$ to focus the object again. The height of the liquid in the bucket is $..........\,cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module