Each quarter of a vessel of depth H is filled | vedclass

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

Question

(B) The apparent depth $d'$ of an object in a medium of refractive index $n$ and real depth $d$ is given by $d' = \frac{d}{n}$.Since the vessel of tot

Vedclass · Accepted Answer

$\frac{H}{4} \left( \frac{1}{n_1} + \frac{1}{n_2} + \frac{1}{n_3} + \frac{1}{n_4} \right)$

Vedclass · Answer

(B) The apparent depth $d'$ of an object in a medium of refractive index $n$ and real depth $d$ is given by $d' = \frac{d}{n}$.Since the vessel of total depth $H$ is divided into four equal quarters,each layer has a real depth of $d = \frac{H}{4}$.The apparent depth of each layer is $\frac{H/4}{n_1}, \frac{H/4}{n_2}, \frac{H/4}{n_3}$,and $\frac{H/4}{n_4}$ respectively.The total apparent depth is the sum of the apparent depths of all four layers:$d'_{total} = \frac{H/4}{n_1} + \frac{H/4}{n_2} + \frac{H/4}{n_3} + \frac{H/4}{n_4}$$d'_{total} = \frac{H}{4} \left( \frac{1}{n_1} + \frac{1}{n_2} + \frac{1}{n_3} + \frac{1}{n_4} \right)$.

Each quarter of a vessel of depth $H$ is filled with liquids of the refractive indices $n_1, n_2, n_3$ and $n_4$ from the bottom respectively. The apparent depth of the vessel when looked normally is

Similar Questions

Three immiscible liquids of densities $d_1 > d_2 > d_3$ and refractive indices $\mu_1 > \mu_2 > \mu_3$ are put in a beaker. The height of each liquid column is $\frac{h}{3}$. $A$ dot is made at the bottom of the beaker. For near normal vision,find the apparent depth of the dot.

$A$ bird is flying $3\, m$ above the surface of water. If the bird is diving vertically down with speed $= 6\, m/s$,its apparent velocity as seen by a stationary fish underwater is $m/s$.

To determine the refractive index of a glass slab using a travelling microscope, the minimum number of readings required is:

$A$ vessel of depth $d$ is half filled with oil of refractive index $n_1$ and the other half is filled with water of refractive index $n_2$. The apparent depth of this vessel when viewed from above will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module