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Radiation on cone

A light of intensity \(I\) is incident at an angle \(\alpha\) with the vertical on a cone with semivertical angle \(\theta<\alpha\), height \(H\) and radius \(R\)

▪ Supposing that the cone is perflectly reflecting i.e. does not absorb or transmit

▪ Supposing that cone is perfectly absorbing i.e. does not reflect or transmit

Find the radiation force on cone in both cases.

Note by Prince Loomba
1 month ago

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For the 2nd case, I have used projection area. It is semicircle and a semi ellipse,

So we can write area=\(\frac {\pi R^{2}}{2}+\frac {\pi RH}{2}\)

And then use \(IA/c\)

Is this approach right?

And I have no idea for the first case Prince Loomba · 1 month ago

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@Prince Loomba for the first case the force will become twice of what u have found in the second case .change in momentum will be 2h/lambda .

And if it was a case where here was reflection and absorbtion .then u calculate the force in each case and multiply it with the coefficient of absorbption and reflection respectively (which would be specified in the question )(also to note that a+r=1 where a and r are the coefficients of absorbtion and reflection respectively ) Zerocool 141 · 3 weeks, 6 days ago

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@Zerocool 141 Exactly twice, are you sure? And I havent really found a proof for other half to be ellipse, can you find? Prince Loomba · 3 weeks, 6 days ago

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@Prince Loomba how did u conclude that it would be an area of ellipse only in the first part ? Zerocool 141 · 3 weeks, 6 days ago

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@Zerocool 141 I havent. For second I said its half ellipse half corcle, with no proof Prince Loomba · 3 weeks, 6 days ago

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@Prince Loomba ill try proving it . Zerocool 141 · 3 weeks, 6 days ago

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@Zerocool 141 Thanks Prince Loomba · 3 weeks, 6 days ago

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