1.

Figure shows a solid transport semi cylinder of radius 10 cm. A screen is placed at a distance 60 cm from O. A narrow beam is incident along X-axis at O. If cylinder starts rotating about O in clockwise direction with angular speed 6 rad//s spot formed on screen will move upward (Refractive index of material of cylinder=(5)/(3)) What is initial angular velcity of ray refrected from plane surface.

Answer»

`2 rad//s`
`10 rad//s`
`16 rad//s`
`4 rad//s`

Solution :Angle of REFRACTED ray from `x`-axis `theta=r-i`
For SMALL angles
`r=mui`
`theta=(mu-1)irArr(d theta)/(DT)=(mu-1)(di)/(dt)=((5)/(3)-1)6=4 rad//s`


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