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Q.

A kid has focused the candle flame image on a white screen with the help of a concave mirror of focal length 12 cm. What will be the distance of the image(v) from the mirror and height of the image(ho)? Given that height of the flame, = +1.5 cm: distance of the flame is 18 cm.


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a

v= -34 cm and ho=-1 cm

b

= +35cm and ho=-2 cm

c

= -36 cm and ho=-3 cm

d

= -37 cm and ho=-4 cm 

answer is C.

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Detailed Solution

The distance of the image is -36 cm, and the height of the image will be -3 cm.
Given data and assumptions,
f= -12 cm   [Negative: as the mirror is concave]
u= -18 cm
Let the distance of the image is, =v
By applying the mirror formula:
1  = 1 + 1 ;
 1=1-1u
 1=1(-12) -1(-18) 
 1=-3-(-2)36 
 1v=-136
 v = - 36 cm
A negative sign indicates that the image will be formed on the same side as that of the object. Let the height of the image is hi, then by the formula of magnification(m) for mirrorsm=-Vu=hiho
 hiho=-Vu
 hi=-Vu×ho
 hi=-36-18×1.5
 hi= -3 cm
A negative sign indicates that the image will be inverted.
 
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