A double convex lens has radii of curvature of 40 cm and 10 cm. The refractive index of the
material of the lens is 1.545. Calculate the focal length of the lens?
a) 20.2 cm
b) 12.8 cm
c) 24.2 cm
d)15.55cm
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focal length of double convex lens is 14.67 cm. and nearest value of 15.55 cm so we can select option (D) 15.55
A double convex lens has radii of curvature of 40 cm and 10 cm. the refractive index of the
material of the lens is 1.545.
here, R1 = 40cm, R2 = -10cm and μ = 1.545
using lens maker formula,
1/f = (μ - 1)[1/R1 - 1/R2]
= (1.545 - 1)[1/40 - 1/-10 ]
= 0.545 × [1/40 + 4/40 ]
= 0.545 × 1/8
f = 8/0.545 = 14.67 cm
here no any option is 14.67 cm. so from approximation. we can say 15.55 cm might be correct choice.
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d)15.55cm
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