Question

an object 5 cm in height is placed at 20cm from convex lens a real inverted image 2 cm in height is formed at 40 cm from the lens draw the scale diagram calculate its focal length and magnification produced by the lens.

Guys please tell the ray diagram is important.​.

please tell ray diagram

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Answer 1

=> Here, an object 1 cm in height is placed at 20cm from a concave mirror and a real inverted image is formed at 40 cm from the mirror.

Thus, distance of Object, u = -20 cm

distance of Image, v = -40 cm

height of object = 1 cm

focal length = ?

=> For focal length, According to mirror formula:

1/f = 1/u + 1/v

1/f = 1/-20 + 1/-40

1/f = -2-1/40

1/f = -3/40

f=-(40/3)

f= -13.33 cm

=> Magnification produced by the mirror:

m=-v/u=-(-40/-20)

= -2

Thus, focal length and magnificationm=-v/u=-(-40/-20)

= - 2

Thus, focal length and magnification produced by the mirror for an object is -13.33 cm and -2 respectively.

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