an object of size 4cm is placed at a distance of 15 cm Infront of a concave mirror of focal length 10 cm. find the size position a

an object of size 4cm is placed at a distance of 15 cm Infront of a concave mirror of focal length 10 cm. find the size position and nature of the image​

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  1. Solution

    Given :

    • Focal length of concave mirror = 10 cm
    • Size of object = 4 cm
    • Distance of object from focal length = 15 cm

    Find :

    • Image position and its nature

    Explanation

    Using mirror Formula

    [tex]\boxed{\tt{\red{\:\dfrac{1}{f}\:=\:\dfrac{1}{v}+\dfrac{1}{u}}}}[/tex]

    Where,

    • f = – 10 cm
    • h = – 15 cm

    Keep all values in formula

    ==> 1/(-10) = 1/(-15) + 1/v

    ==> 1/v = -1/10 + 1/15

    ==> 1/v = (-15 + 10)/150

    ==> 1/v = (-5)/150

    ==> 1/v = -1/30

    Or,

    ==> v = – 30 cm.

    Distance of image is (-ve) sign , that’s means image be real .

    _____________________

    Reply
  2. [tex]\huge\boxed{\fcolorbox{white}{gray}{Answer:⇢}}[/tex]

    Given :-

    • Focal length of concave mirror = 10 cm
    • Size of object = 4 cm
    • Distance of object from focal length = 15 cm

    To Find :-

    • Image position and its nature.

    Explanation :-

    Using Mirror Formula :-

    [tex]\boxed{\tt{\pink{\:\dfrac{1}{f}\:=\:\dfrac{1}{v}+\dfrac{1}{u}}}}[/tex]

    Where,

    • f = – 10 cm
    • h = – 15 cm

    Keep all values in formula

    • ➟ 1/(-10) = 1/(-15) + 1/v
    • ➟ 1/v = -1/10 + 1/15
    • ➟ 1/v = (-15 + 10)/150
    • ➟ 1/v = (-5)/150
    • ➟ 1/v = -1/30

    Or,

    • ➟ v = – 30 cm.
    • Distance of image is (-ve) sign , that’s means image be real .

    ________________________

    Reply

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