CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A glass sphere $$ (\mu = 1.5) $$ of radius $$20\ cm$$ has a small air bubble $$4\ cm$$ below its center. The sphere is viewed from outside and along a vertical line through the bubble. The apparent depth of the bubble below the surface of sphere is (in cm) :


A
13.33
loader
B
26.67
loader
C
15
loader
D
30
loader

Solution

The correct option is B $$26.67$$
concept: It is the case of refraction through curved surface formulae used
$$\dfrac{\mu_2}{v}-\dfrac{\mu_1}{u}=\dfrac{\mu_2-\mu_1}{R}$$

Given: $$\mu_2=1$$, $$\mu_1=1.5$$
$$R=-20$$

Object distance$$=u=-(20+4)=-24$$
Here apparent depth is image distance which is v

$$\dfrac{1}{v}-\dfrac{1.5}{-24}=\dfrac{1-1.5}{-20}$$

$$\Rightarrow \dfrac{1}{v}=\dfrac{1}{40}-\dfrac{1}{16}=\dfrac{-3}{80}$$

$$\Rightarrow v=-\dfrac{80}{3}=-26.67$$
Hence bubble looks at depth of $$26.67$$.

1446054_1158732_ans_bcf78b623c6a4973ab507e26cf4aa75d.png

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image