1.

Findout the equivalent focal length of the combenation of lenses shown in the figure. Surrounding medium is air.

Answer»

Solution :`1/f_(1)= (mu_(l)/mu_(s)-1)(1/R_(1)-1/R_(2))`
`=(1.5-1)(-1/10-1/10)`
`=0.5 xx(-2)/10`
`rArr f_(1)=10/(0.5xx-2)=-10` cm
`1/f_(2)=(mu_(l)/mu_(s)-1)(1/R_(1)-1/R_(2))`
`=(4/3-1)(1/10+1/10)`
`rArr 1/f_(1)=1/3 (2/10)`
`rArr f_(2)=(30/2)=15` cm
`f_(3)=-10` cm
`1/f_(eq)=1/f_(1)=1/f_(2)+1/f_(3)`
`=1/15-2/10`
`rArr f_(eq) =150/(-20)=-7.5` cm


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