Waste less time on Facebook — follow Brilliant.
×

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 year, 2 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

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 year, 2 months ago

Log in to reply

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 - 1 year, 2 months ago

Log in to reply

Exactly twice, are you sure? And I havent really found a proof for other half to be ellipse, can you find?

Prince Loomba - 1 year, 2 months ago

Log in to reply

@Prince Loomba how did u conclude that it would be an area of ellipse only in the first part ?

Zerocool 141 - 1 year, 2 months ago

Log in to reply

@Zerocool 141 I havent. For second I said its half ellipse half corcle, with no proof

Prince Loomba - 1 year, 2 months ago

Log in to reply

@Prince Loomba ill try proving it .

Zerocool 141 - 1 year, 2 months ago

Log in to reply

@Zerocool 141 Thanks

Prince Loomba - 1 year, 2 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...