In the given figure, let C be the centre of curvature, F be the focus and P be the pole of the spherical mirror. Find the value of θ.

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Solution

The correct option is B

Principal axis (CP) is normal to the tangent at the pole.

So, angle of incidence, ∠i = $30^{\circ}$

By first law of reflection,

∠i = ∠r where ∠r is called angle of refraction.

$\Rightarrow$ Here, ∠r = $30^{\circ}$

So, ∠θ = $30^{\circ}$

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Similar questions

Q. State whether true or false :

The principal focus of a spherical mirror lie midway between the pole and centre of curvature.

In order to obtain a magnification of −2 (minus 2) with a concave mirror, the object should be placed:
(a) between pole and focus
(b) between focus and centre of curvature
(c) at the centre of curvature
(d) beyond the centre of curvature

The image formed by a concave mirror is observed to be virtual, erect and larger than the object. Where should be the position of the object?

(a) Between the principal focus and the centre of curvature

(b) At the centre of curvature

(d) Between the pole of the mirror and its principal focus.

Q. Question 2
The image formed by a concave mirror is observed to be virtual, erect and larger than the object. Where should be the position of the object?

(a) Between the principal focus and the centre of curvature
(b) At the centre of curvature
(c) Beyond the centre of curvature
(d) Between the pole of the mirror and its principal focus

If a magnification of, -1 (minus one) is to be obtained by using a converging mirror, then the object has to be placed:
(a) between pole and focus (b) at the centre of curvature
(c) beyind the centre of curvature (d) at infinity

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In the given figure, let C be the centre of curvature, F be the focus and P be the pole of the spherical mirror. Find the value of θ.

The correct option is B Principal axis (CP) is normal to the tangent at the pole. So, angle of incidence, ∠i = 30∘ By first law of reflection, ∠i = ∠r where ∠r is called angle of refraction. ⇒ Here, ∠r = 30∘ So, ∠θ = 30∘

The correct option is B

Principal axis (CP) is normal to the tangent at the pole.

So, angle of incidence, ∠i = $30^{\circ}$

By first law of reflection,

∠i = ∠r where ∠r is called angle of refraction.

$\Rightarrow$ Here, ∠r = $30^{\circ}$

So, ∠θ = $30^{\circ}$