Question

A convex lens produces a real and inverted image that is magnified by 2.5 times at a distance of 25cm from the lens. Calculate the focal length of the lens

Answer 1

ANSWER :-

# RAY OPTICS....

GIVEN ;

★ Magnification (m) = + 2.5

★ Image distance ( v ) = 25 cm

» We know that

→ Magnification = + V / U

→ U = V / 2.5

→→ U = 25 / 2.5 = 10cm

★ OBJECT DISTANCE = (-) 10cm

★ By Lens Formula ;

$\frac{1}{v} - \frac{1}{u \:} = \frac{1}{f}$

» 1/ V - 1/ (-U) = 1/F

» 1 / 25 - 1 / (-10) = 1/F

» 1/25 + 1/10 = 1/F

» 10 + 25 / 250 = 1/ F

» F = 250 / 35 = 7.14 cm

ANSWER :- FOCAL LENGTH OF LENS IS 7.14 CENTIMETERS

TQ ❤ ❤

Answer 2

Answer:

$\huge \bold \red{ray \: topics}$

GIVEN ;

;★ Magnification (m) = + 2.5

;★ Magnification (m) = + 2.5★ Image distance ( v ) = 25 cm

;★ Magnification (m) = + 2.5★ Image distance ( v ) = 25 cm» We know that

→ Magnification = + V / U→ U

= V / 2.5

→→ U = 25 / 2.5 = 10cm

★ OBJECT DISTANCE = (-) 10cm★ By Lens Formula ;

$\huge \red{\frac{1}{v} - \frac{1}{u} = \frac{1}{f} }$

» 1/ V - 1/ (-U) = 1/F

» 1 / 25 - 1 / (-10) = 1/F

» 1/25 + 1/10 = 1/F» 10 + 25 / 250 = 1/ F

» F = 250 / 35 = 7.14 cmANSWER :-

FOCAL LENGTH OF LENS IS 7.14 CENTIMETERS

Explanation:

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