a far sighted person can not focus dictictly objects closer than 120 cm . the lens that will permit him to read from the distance of 40cm will have a focal distance
A. +30
B. -30
C. +60
D.-60
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Answer : option (3)+60 cm
explanation : A far sighted person cannot focus distinctly objects closer than 120cm. i.e., v = -120cm
focal length of lens ‘f’ is used to read from a distance of 40cm.
so, u = -40cm
using lens maker formula,
1/v - 1/u = 1/f
or, 1/-120 - 1/-40 = 1/f
or, 1/-120 - 3/-120 = 1/f
or, 3/120 - 1/120 = 1/f
or, 1/60 = 1/f => f = +60cm
hence, focal length of lens is +60cm
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