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Derive D_m = A(n_(21) - 1) for thin prism. |
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Answer» Solution :Thin prism : "The prism which has small prisn angle is CALLED thin prism". Refractive index of prism, `n=(SIN((A+delta_m)/(2)))/(sin(A/2))` …........ (1) If A and `delta_m` is kept small then, `(sin((A+delta_m)/(2)))/(sin(A/2))` =`(A+delta_m)/(2)` radian `sin(A/2)=A/2` radian `THEREFORE` Then equation (1) will be `n=((A+delta_m)/(2))/(A/2)` `n=(A+sin_m)/(A)` `therefore` nA=A+`delta_m` `therefore delta_m=A(n-1)` `delta_m` depends on refractive index and prism angle of prism. |
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