MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Reflection of a Point about a Line

Prove that ...

Question

Prove that $δ = A (μ - 1)$ for a small-angled prism, where the symbols have their usual meanings.

Open in App

Solution

$μ = \frac{sin (\frac{A + δ}{2})}{sin \frac{A}{2}}$
$sin θ = θ$ for small angle
$μ = \frac{A + \frac{δ}{2}}{\frac{A}{2}}$
$μ A = A + δ$
$A (μ - 1) = δ$

Suggest Corrections

thumbs-up

0

Similar questions

Q. For a prism, i

+ e = A + δ

where
the symbols have their usual meanings.

Q. Prove that in triangle

\frac{1}{b c} + \frac{1}{c a} + \frac{1}{a b} = \frac{1}{2 R r}

. Where the symbols have their usual meaning.

Q. Establish the formula

\frac{1}{f} = \frac{1}{u} + \frac{1}{v}

for a concave mirror, where symbols have their usual meanings.

Q. Show that the projection angle

0^{o}

for a projectile launched origin is given by

θ_{0} = {tan}^{- 1} (\frac{4 h m}{R})

where, the symbols have their usual meanings.

Q. For any prism, prove that 'n' or

μ = \frac{sin (\frac{A + δ_{m}}{2})}{sin (\frac{A}{2})}

where the terms have their usual meaning.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Line and a Point, Revisited

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Reflection of a Point about a Line

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon