1.

A beaker having water of refractive index of 4/3 water is filled upto 16 cm in it. As shown in figure, a concave mirror is kept 3 cm above the surface of water. If the object is place at the bottom of beaker and its image is ob tained from this mirror at 7 cm below the surface of water, then what will be the focal length of this concave mirror ?

Answer»

4 cm
6 cm
8 cm
10 cm

Solution :`(h_i)/(h_0)=1/n=3/4`
`implies h_i=h_0xx3/4`
`=(16xx3)/(4)`=12 cm
`therefore` Object distance from concave MIRROR =u=12+3=15 cm

Image distance =v=7+3=10 cm
`therefore 1/f=1/u+1/v`
`implies1/f=(1)/(-15)+(1)/(-10)+(2+3)/(-30)=(5)/(-30)=-1/6`
Thus, focal LENGTH =f=6 cm


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