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in Physics by (56.2k points)

The image of candle flame placed at a distance of 40 cm from a spherical lens is formed on a screen placed on the other side of the lens at a distance of 40 cm from the lens. Identify the types of lens and write its focal length. What will be the nature of the image formed if the candle flame is shifted 25 cm towards the lens ? Draw ray diagram to justify.

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Best answer

Object distance, u = -40cm

Image distance, v = 40 cm

Using lens formula,

1/f=1/v-1/u=1/40-1(-40)

or Focal length,

f=+20cm

The positive sign of focal length shows that it is a convex lens.

Now,

Magnification, m = v/u= 40/(-40)= -1

Thus, the image is real, inverted and same size as object.

If candle flame is shifted 25 cm towards the lens, then

Thus the image will be virtual, erect and enlarged.

For this, you can refer to the following diagram,

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