An object 1 cm height is placed on the axis
15 cm from a concave mirror of focal
length 10cm Find the position, nature megnificatio size of the image
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GiveN :
- Object Height (Ho) = 1 cm
- Object Position (u) = - 15 cm
- Focal length (f) = - 10 cm
- Concave Mirror
To FinD :
- Position, size, nature of the image
SolutioN :
Use mirror formula :
⇒ 1/f = 1/v + 1/u
⇒ 1/v = 1/f - 1/u
⇒1/v = 1/-10 - (1/-15)
⇒ 1/v = -1/10 + 1/15
⇒ 1/v = (-3 + 2)/30
⇒ 1/v = -1/30
⇒v = - 30 cm
Image is placed at distance of -30 cm from mirror.
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Now, use formula for magnification :
➠ m = -v/u = H'/Ho
⇒-(-30)/-15 = H'/1
⇒30/-15 = H'
⇒H' = -2 cm
Image height is - 2cm
_______________________
- Nature of Image is Real and Inverted.
- Size of image is Enlarged.
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