Question

b) An object 1cm tall is placed 30 cm in front of a convex mirror of focal length 20cm. find the size and position of the image formed
by the convex mirror.​

Answer 1

u= -30cm

f= +20cm

ho= +1cm

Using mirror formula,

1/v+1/u=1/f

1/v+1/-30=1/20

1/v-1/30=1/20

1/v=1/20+1/30

1/v=3+2/60

1/v=5/60=1/12

=>v= +12cm

Therefore, the image will be formed at a distance of 12cm behind the mirror.

m= -v/u

m= -12/-30

m= +0.4

m=hi/ho

0.4=hi/ho

0.4=hi/1

=>hi= +0.4cm

Therefore, the image formed is diminished in size.

Answer 2

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✒️Your Question :-

➡️ An object 1cm tall is placed 30 cm in front of a convex mirror of focal length 20cm. find the size and position of the image formed by the convex mirror.

_______________________

✒️Answer :-

1/v+1/u=1/f

1/v+1/-30=1/20

1/v-1/30=1/20

1/v=1/20+1/30

1/v=3+2/60

1/v=5/60=1/12

=>v= +12cm

so the image will be formed at a distance of 12cm behind the mirror.

m= -v/u

m= -12/-30

m= +0.4

m=hi/ho

0.4=hi/ho

0.4=hi/1

=>hi= +0.4cm

so the image formed is diminished in size.

_______________________

➡️ hope this helps you ❗️❗️

✔️✔️

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