Question icon
Grade 12Mechanics

A ray of light (R1) is incident on a glass slab at an angle equal to critical angle of glass-air system. The refracted ray (R2) undergoes partial reflection and refraction at other surface of slab. If angle between the reflected ray (R3) and refracted ray (R4) is src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAATCAYAAACQjC21AAAA4ElEQVQ4je3SIW7DMBTGcV8juHSsrKjIZDcoKAgJHLOUE5T1Bpamcl+gktlIT2CZRVNVEmQFFD39y6ak7ZbOrdSBPcnE8vezn/UUDy71ZFDoosPMC5QqmNdbDjIK9kMvLNcfvdAnbjmjdA0iDa7UGN+OgN2OtdkQOgESwb5RuQbJA4XkV9T9QxKw1TtRslpu8abCxuPI3vc1BCVgdYFS6mxNL1r7BbgYvkYCVs8yQVq8eR2Gr11yO3gk2gXaBr7+OnnMpMYnOc/eAoLsHaWucTFxOTYZ4M+DnQXeV//gHwRP21GRa6pS8ZsAAAAASUVORK5CYII= then value of src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAnCAYAAADQKRIRAAABaElEQVRIieXVr2vDQBTA8fs3Ts/W1U1Fxew/qIioiZiY6kHc3EQhajZQ5s+PwbmZwnw4V2iICRUhooxyfGfK2uZHm66Dse3BM0c+d493uTvBBSH+DHZUVqM8iRADgviV3PXF1ZxYPZFWDihJkztCvaDN17CjNA9EptgbSknCGbZF13CBUSGJXZ8Ya8MuJfElQohaDlH71XTj0eEqLiXxr3tgCoy6OfywbcJ2vMYmI/wk3XW3NKirCFM2O9bYKpdpxn6EtiVnbhVc9pOcEf8aTyaTXrlcLptYa90rV6vVN5f909hR2WemweDzLMsg5sWWPXBpUFLiKY2tHLgME/kIeYvO3o/hDbkOESJE55vGhAfHtL3slvg6dpQmQva6w+pRzZl6EjnWZKev3v1FF+jxABnMtg9AX1ylaOUjvHtM3uxyB95dQTJ4ZH4ENrDLNGMpEF7MW0epHbjAqGHLa7HNQJMfL/u8+KX4AwXHcOFCmCAIAAAAAElFTkSuQmCC is ______.

Profile image of Sapna Patel
6 Years agoGrade 12
Answers icon

2 Answers

Profile image of Sandeep
ApprovedApproved Tutor Answer6 Years ago
 
 
angle of incidence is equal to critical of the air glass of the system
system
 
sinφi?=n1?=2?1?φi?=4π?
 
sinφi?=n.sinφr?
 
sinφr?=nsinφi??=21??φr?=6π?
 
θ=π(φi?+φr?)=π(4π?+6π?)=127π
 
Profile image of Vikas TU
6 Years ago
angle of incidence is equal to critical of the air glass of the system
sinƟi = 1/n = 1/√2
»Ɵi = π/4
 
sinƟi = n.sinƟr
 
sinƟr = sinƟi / n = 1/2
»Ɵr = π/6
 
Ɵ = π - (Ɵi + Ɵr) 
= π - ( π/4 + π/6 ) 
= 7π/12
 
I hope this will help you
Regards