Question

50 POINTS QUESTION!!!!!!!!
please answer my question

how much should a beaker of depth 21cm be filled such that it appears half filled when viewed from top( refractive index of water=4/3)

ANSWER IS 12cm please explain throughly
Class 12 physics​

Answer 1

hi mate,

Solution : Height of the container is = 21 cm

Refractive index of water = 4/3

Let us assume the height of the water away from the top of the container be “x” cm, so that it appears to be half-filled to the observer.

Then, the actual or real height of the water would be “(21 - x)” cm.

Also, the apparent height (depth) would be the same as “x” cm .

We know, the formula for refractive index is given as,

Refractive index = (real height or depth) / (apparent height or depth)

⇒ 4/3 = (21-x) / x

⇒ 4x = 63 – 3x

⇒ 7x = 63

⇒ x = 9

Thus,

The real or actual height of the water upto which the container should be filled, so that it appears to be half-filled to the observer is,

= 21 – x

= 21 – 9

= 12 cm

i hope it helps you..

Answer 2

Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. For example, any point on a propeller spinning at a constant rate is executing uniform circular motion. Other examples are the second, minute, and hour hands of a watch