Answer
given,
diameter of sphere = 5 cm
radius of sphere = -2.5 cm
refractive index for glass n₁ = 1.5
refractive index for air n₂ = 1
magnification of the glass = ?
now,
[tex]\dfrac{n_1}{S} +\dfrac{n_2}{S'}= \dfrac{n_2-n_1}{R}[/tex]
[tex]\dfrac{1.5}{5} +\dfrac{1}{S'}= \dfrac{1-1.5}{-2.5}[/tex]
[tex]\dfrac{1.5}{5} +\dfrac{1}{S'}= \dfrac{0.5}{-2.5}[/tex]
S' = - 10 cm
magnification
[tex]m = \dfrac{-n_1S'}{n_2S}[/tex]
[tex]m = \dfrac{-1.5\times -10}{1\times 5}[/tex]
m = + 3
