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QJEEM20Ph33cb: JEE Main 2020 Physics - Class 12 JEEM20Ph33cb Solution: A spherical mirror is obtained as shown in the figure from a…

JEE Main 2020 (Online) 2nd September Morning Slot Physics - Geometrical Optics Question 148 English A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object?
(Figure drawn as schematic and not to scale)

Multiple Choice Options

  • A Inverted, real and unmagnified
  • B Inverted, real and magnified
  • C Erect, virtual and magnified
  • D Erect, virtual and unmagnified

Step-by-Step Verified Solution

f = −82- {8 \over 2} = -4 cm

u = –10 cm

v = ?

Using mirror formula

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

⇒\Rightarrow 1v+1−10=1−4{1 \over v} + {1 \over { - 10}} = {1 \over { - 4}}

⇒\Rightarrow v = −203{{ - 20} \over 3}

m = −(−203)−10{{ - \left( { - {{20} \over 3}} \right)} \over { - 10}} = −23- {2 \over 3}

So image would be real, inverted and smaller than object.

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