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Question

Question: Graph of position of image vs position of a point object from a convex lens is shown in the figure. ...

Graph of position of image vs position of a point object from a convex lens is shown in the figure. The focal length of the lens is –

A

(0.50 ± 0.05) cm

B

(5.00 ± 0.05) cm

C

(0.50 ± 0.10) cm

D

(5.00 ± 0.10) cm

Answer

(5.00 ± 0.05) cm

Explanation

Solution

2f = 10

f = 5 cm

1f\frac { 1 } { \mathrm { f } } =

=

df = f2

u = 10, v = 10, du = 110\frac { 1 } { 10 }, dv = 110\frac { 1 } { 10 }

so df = 25(110(10)2+110(10)2)\left( \frac { 1 } { 10 ( 10 ) ^ { 2 } } + \frac { 1 } { 10 ( 10 ) ^ { 2 } } \right) = 25[210×100]\left[ \frac { 2 } { 10 \times 100 } \right]

df = 0.05 so (5.00 ± 0.05) cm.