An air bubble in sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If a μg=1.5, the distance of bubble from refracting surface is

Question

An air bubble in sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If a μg=1.5, the distance of bubble from refracting surface is (A) 1.2 cm (B) 3.2 cm (C) 2.8 cm (D) 1.6 cm

Tardigrade Admin · Accepted Answer

v=1 cm , R=2 cm By using (μ2/v)-(μ1/u)=(μ2-μ1/R) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f4e7d4c723f1a5ff3916fcd35eba1a1c-.png" /> (1/-1)-(1.5/u)=(1-1.5/-2) ⇒ u=-1.2 cm

Q. An air bubble in sphere having $4 c m$ diameter appears $1 c m$ from surface nearest to eye when looked along diameter. If $_{a} μ_{g} = 1.5$ , the distance of bubble from refracting surface is

1.2 cm

3.2 cm

2.8 cm

1.6 cm

$v = 1 c m, R = 2 c m$
By using $\frac{μ _{2}}{v} - \frac{μ _{1}}{u} = \frac{μ _{2} - μ _{1}}{R}$

$\frac{1}{- 1} - \frac{1.5}{u} = \frac{1 - 1.5}{- 2}$
$\Rightarrow u = - 1.2 c m$

Q. An air bubble in sphere having 4cm diameter appears 1cm from surface nearest to eye when looked along diameter. If a​μg​=1.5, the distance of bubble from refracting surface is