A security halogen beam light forms a circle of radius 12cm on the wall fence 60cm away. Calculate the slant length of the beam and divergent angle from the source of the light.

Veezybaba:
A security halogen beam light forms a circle of radius 12cm on the wall fence 60cm away. Calculate the slant length of the beam and divergent angle from the source of the light.

Slant length is the hypotenuse = √(60²+12²) = 61.19 cm

Tan θ = opp ÷ adj
Tan θ = 12 ÷ 60
θ = 11.31°

Angle of divergence is 2 times θ
= 2 × 11.31°
= 22.62°

In physics perspective, Huygens principle will be deployed as the beam diameter can not be well defined. Therefore we use 1/e² beam diameter (i.e the diameter/radius that encompasses 86.5% of the beam)

you're correct bros. Thank you very much.

dejt4u:
In physics perspective, Huygens principle will be deployed as the beam diameter can not be well defined. Therefore we use 1/e² beam diameter (i.e the diameter/radius that encompasses 86.5% of the beam)

Huygens principle?? please can you enlighten me on this?
Is it o'level physics?

dejt4u:
In physics perspective, Huygens principle will be deployed as the beam diameter can not be well defined. Therefore we use 1/e² beam diameter (i.e the diameter/radius that encompasses 86.5% of the beam)

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https://www.kumarstudy.com/2020/06/about-population-inversion-in-laser.html
https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html




https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html

kumarstudy:
Thanks for sharing your great information with us you can also check about
www.kumarstudy.com/2020/07/how-to-study-science.html
https://www.kumarstudy.com/2020/06/about-population-inversion-in-laser.html
https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html




https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html

what's on your site has nothing to do with the question above sir. Thank you.

dejt4u:
Slant length is the hypotenuse = √(60²+12²) = 61.19 cm
Tan θ = opp ÷ adj Tan θ = 12 ÷ 60 θ = 11.31°
Angle of divergence is 2 times θ = 2 × 11.31° = 22.62°

Wisdom

Veezybaba:

Huygens principle?? please can you enlighten me on this?
Is it o'level physics?

yes, it is O'level physics under waves. The principle talks about secondary waves (wavelets).

kumarstudy:
Thanks for sharing your great information with us you can also check about
www.kumarstudy.com/2020/07/how-to-study-science.html
https://www.kumarstudy.com/2020/06/about-population-inversion-in-laser.html
https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html




https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html

Thanks. This will surely help a lot. I have an exam I am preparing for on laser and other applications of non-ionizing EM radiations (radio waves, microwaves, infrared, etc).

kumarstudy:
Thanks for sharing your great information with us you can also check about
www.kumarstudy.com/2020/07/how-to-study-science.html
https://www.kumarstudy.com/2020/06/about-population-inversion-in-laser.html
https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html




https://www.kumarstudy.com/2020/06/imperfections-in-crystals-types-of.html

I've gone through the articles and they're not really helpful. They are not comprehensive at all especially the one on population inversion (energy pump).

dejt4u:
yes, it is O'level physics under waves. The principle talks about secondary waves (wavelets).

Huygens' Principle is not an O' Level topic in Physics. It comes under A- Level.

In Cambridge curriculum, it comes under AS Level.

Well done for the calculation! Kudos!

WAECMATHEMATICS:


Huygens' Principle is not an O' Level topic in Physics. It comes under A- Level.

In Cambridge curriculum, it comes under AS Level.

Well done for the calculation! Kudos!

alright. Thanks for the correction

Veezybaba:
A security halogen beam light forms a circle of radius 12cm on the wall fence 60cm away. Calculate the slant length of the beam and divergent angle from the source of the light.

Hint: use Pythagoras

dejt4u:
In physics perspective, Huygens principle will be deployed as the beam diameter can not be well defined. Therefore we use 1/e² beam diameter (i.e the diameter/radius that encompasses 86.5% of the beam)

you only want to complicate things. thats a secondary school mathematics right there. precisely SS1.