1.

Two cancave refracting surfacwe of equal radii fo curvature face each other in air as shown in figure. A point objectO is placed midway between the centreand oneof the poles. Then the separation between the images of O formed by each refracting surface is

Answer»

`11.4` R
`1.14` R
`0.114R`
`0.0114R`

Solution :
`I_(1)` DUETO refraction at surface (1)
`(1.5)/(V)-(1)/(R//2)=(1.5-1)/(R)`
`(1.5)/(V)=(2)/(R)+(0.5)/(R)`
`(1.5)/(V)=(2.5)/(R)`
`V=(15)/(R)`
`rArr(3)/(5)R=0.6R`
`I_(2)` DUE to refraction at surface (2)
`(1.5)/(V)=(2)/(-3R//2)-(1.5-1)/(-R)`
`(1.5)/(V)=-(2)/(3R)-(0.5)/(R)`
`(1.5)/(V)=(-3.5)/(3R)`
`V=(+4.5)/(3.5)R`
`rArr-(9)/(7)R`
`rArr-1.285R`

DISTANCE between `I_(1)&I_(2)=0.114R`


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