Reflection — phryzby

Q. Where does a ray go when it hits a mirror at i?

What the draft establishes

Fills in once a draft is checked.

The web of concepts

given read from the words equation asked

The equations it used

None yet.

Check an answer

Q. Where does a ray go when it hits a mirror at $i$ ?

The playground

Inputs

angle of incidence

i

30.00°

Outputs

angle of reflection

r_{l}

30.00°

The solution

Solved with Reflection

Given

$i$ yours to vary

Find $r_{l}$ .

Working

law of reflection $i = r_{l}$
$30 ° = r_{l}$
$r_{l} = 30.00°$

Conclusion

Back out at the angle it came in at, on the other side of the normal, and all of it goes back.

The Ruby

1require_relative "../physics"23question :reflection do4  describes "%{reflected} when it hits a mirror at %{angle}?"5  given :angle6  asks reflected: "Where does a ray go"7end

1require_relative "../questions/reflection"2require_relative "../science/ray_optics_and_optical_instruments/reflection"34solve :reflection, using: Reflection do5  take angle: :i6  take reflected: :r_l7  find_value :reflected89  conclusion "Back out at the angle it came in at, on the other side of the normal, and all of it goes back."10end

1require_relative "../solutions/reflection"2require_relative "../pictures/light"34play_with :reflection do5  title "Reflection"67  input :i, default: 30.deg89  output :r_l1011  draw Light::Picture do12    mirror13    ray "incident",  arriving_at: :i, angle: true14    ray "reflected", leaving_at:  :r_l, angle: true15  end16end

The laws

quantity	written	units	within	from
angle to the normal	$θ$	—	0 … 1.571	Incidence
angle of incidence	$i$	—	0 … 1.571	Incidence
angle of reflection	$r_{l}$	—	0 … 1.571	Reflection

i \equiv θ_{i} (before)

angle of incidence

r_{l} \equiv θ_{i} (after)

angle of reflection

i = r_{l}

law of reflection