A fish is $10.0 c m$ from the front surface of a spherical fish bowl of radius $20.0 c m$ , as shown in the figure. The walls of the bowl are thin,and their effects can be neglected. As observed from the point $P$ (see figure), the fish is at a distance of:

6.7 c m

from the surface and appears magnified in size

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8.6 c m

from the surface and appears magnified in size

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10.3 c m

from the surface and appears diminished in size

No worries! We‘ve got your back. Try BYJU‘S free classes today!

11.4 c m

from the surface and appears diminished in size

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $8.6 c m$ from the surface and appears magnified in size
$μ_{1} = μ_{w a t e r} = \frac{4}{3} μ_{2} = μ_{a i r} = 1 \frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R} \frac{1}{v} - \frac{4 / 3}{- 10} = \frac{1 - 4 / 3}{- 20} \frac{1}{v} = \frac{1}{60} - \frac{4}{30} ∴ v = \frac{60 \times 30}{30 - 240} = \frac{60 \times 30}{- 210} = - 8.6 c m$

Suggest Corrections

Similar questions

Q. In a thin spherical fish bowl of radius

10 c m

filled with water of refractive index

\frac{4}{3}

there is a small fish at a distance of

4 c m

form the center

C

as shown in figure. Where will the image of fish appears, if seen from

E

In a thin spherical bowl of radius 10 cm filled with water of refractive index $\frac{4}{3}$ there is a small fish at a distance of 4 cm from the centre C as shown in figure. Where will the image of fish appears, if seen from E

To a bird in air a fish in water appears to be 30cm from its surface if ^au_w =4/3 then the true depth of fish is:

30cm

40cm

45cm

None of these

Q. A point mass M is released from rest and slides down a spherical bowl of radius R from a height H as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of mass at the bottom of the bowl is

Q. A bird is flying 3m above the surface of water. To a fish underwater, the height of the bird from the water surface appears to be [Take

μ_{w} = 4 / 3

]

Join BYJU'S Learning Program

A fish is 10.0 cm from the front surface of a spherical fish bowl of radius 20.0 cm, as shown in the figure. The walls of the bowl are thin,and their effects can be neglected. As observed from the point P (see figure), the fish is at a distance of:

The correct option is B 8.6 cm from the surface and appears magnified in sizeμ1=μwater=43μ2=μair=1μ2v−μ1u=μ2−μ1R1v−4/3−10=1−4/3−201v=160−430∴v=60×3030−240=60×30−210=−8.6cm

A fish is $10.0 c m$ from the front surface of a spherical fish bowl of radius $20.0 c m$ , as shown in the figure. The walls of the bowl are thin,and their effects can be neglected. As observed from the point $P$ (see figure), the fish is at a distance of: