The radius of curvature of concave mirror is 60 cm. An object 4 cm long is placed at distance of 45 cm from the mirror. Find the position, length and nature of the image
Answers
Answer:
image will form BEYOND C
nature of image REAL AND INVERTED
V(IMAGE DISTANCE) = -90CM
image height = -8CM
Explanation:
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Given :
The radius of curvature of concave mirror is 60 cm.
Size of object = 4cm
Distance of object from the mirror = 45 cm
To find :
The position, length and nature of the image
Solution :
Focal length(f) = Radius of curvature/2
= 60/2
= 30 cm
According to mirror formula ,
1/f = 1/v - 1/u
where v is the image distance and u is the object distance
F = focal length of a lens is positive for convex lens and negative for a concave lens.
f = - 30 cm u = - 45cm
Hence,
=> 1/(-30) = 1/-v - 1/-45
=> 1/v = 1/30 + 1/45
=> 1/v =(3 + 2) /90
=> 1/v = 5/360
=> v = 360/5
=> v = 72
Hence, the image distance is 72 cm and the image is real and magnified.
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