Question

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Solve this,
A 2.5 cm candle is placed 12 cm away from a convex mirror of focal length 30 cm. Give the location of the image and the magnification.
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Answer 1

Answer:

Since it is a convex mirror, the image will be virtual i.e. positive, and the focus also will be positive.

Now.

f = 30 cm and u=-12cm

also, h1 (height of object)= 2.5cm

To find v,

1/f=1/v+1/u

=> 1/30=1/v-1/12

=> 1/v=1/30+1/12

=> 1/v= (2+5 ) /60

=> 1/v= 7/60 cm

=> v-= 60/7 cm or 8.57 cm (approx)

And, Magnification of image (m) = -V/u

=> m = -60/7*(-12)

=> m = 5/7 or 0.71 (approx)

also, the height of the image h2 = h1*m

=> h2 = 2.5*0.71

Then, h2 = 1.775 (approx)

Therefore, the height of the image is 1.78 cm (approx)

वन्देमातरम्

इंकलाब जिंदाबाद

Answer 2

Answer:

For explanation,.plz check the attachment.