A thin convergent glass lens `(mu_g=1.5)` has a power of `+5.0D.` When this lens is immersed in a liquid of refractive index `mu_1,` it acts as a divergent lens of focal length `100 cm.` The value of `mu_1` isA. `(4)/(3)`B. `(3)/(2)`C. `(5)/(3)`D. `2`

A thin convergent glass lens `(mu_g=1.5)` has a power of `+5.0D.` When

1.	A thin convergent glass lens `(mu_g=1.5)` has a power of `+5.0D.` When this lens is immersed in a liquid of refractive index `mu_1,` it acts as a divergent lens of focal length `100 cm.` The value of `mu_1` isA. `(4)/(3)`B. `(3)/(2)`C. `(5)/(3)`D. `2`
Answer» Correct Answer - C `(1)/(f_a)=((3)/(2)-1)((1)/(R_1)-(1)/(R_2))` … (i) `(1)/(f_l)=((3//2)/(._amu_l)-1)((1)/(R_1)-(1)/(R_2))` (i)/(ii) `(f_l)/(f_a)=((3//2-1))/(((3//2)/(._amu_l)-1))` `f_(1)=(100)/(P)=(100)/(5)=20cm` `f_(l)=-100cm` `(-100)/(20)=(1//2)/((3/(2_(a)mu_(l))-1))` `(3)/(2_(a)mu_(l))-1=-(1)/(10)implies(3)/(2_(a)mu_(l))=(9)/(10)` `._amu_l=(15)/(9)=(5)/(3)`

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A thin convergent glass lens `(mu_g=1.5)` has a power of `+5.0D.` When this lens is immersed in a liquid of refractive index `mu_1,` it acts as a divergent lens of focal length `100 cm.` The value of `mu_1` isA. `(4)/(3)`B. `(3)/(2)`C. `(5)/(3)`D. `2`

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