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JEE Main 202228 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Evening Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2022 · 28 July · Evening Shift · Physics · Ray Optics

An object ' O ' is placed at a distance of 100cm in front of a...

An object 'OO' is placed at a distance of 100cm100cm in front of a concave mirror of radius of curvature 200cm200cm as shown in the figure. The object starts moving towards the mirror at a speed 2cms−12cm{s}^{- 1}. The position of the image from the mirror after 10s10s will be at _____ cmcm.

An object ' O ' is placed at a distance of 100cm in front of a concave mirror of radius of curvature 200cm as shown in

Correct answer

0

Step-by-step solution

In 10s10s, the object will travel distance =2×10=20cm= 2 \times 10 = 20cm

After 10sec10sec, the object will be at distance u=20−100=−80mu = 20 - 100 = - 80m.

Focal length of the concave mirror is f=R2=2002=−100cmf = \dfrac{R}{2} = \dfrac{200}{2} = - 100cm

Using mirror formula,

1v+1u=1f\dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f}

⇒1v=−1100+180⇒v=800020⇒ \dfrac{1}{v} = - \dfrac{1}{100} + \dfrac{1}{80} ⇒ v = \dfrac{8000}{20}

⇒v=400cm⇒ v = 400cm

Position of image from the mirror is at 400cm400cm.

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