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Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsReflection at plane surfaceEasy2 minPYQ_2020

PhysicsEasysingle choice

If a ray travelling in the direction $\frac{1}{2} (\hat{i} + \sqrt{3} \hat{j})$ is incident on a plane mirror, after reflection, the ray travels along the direction $\frac{1}{2} (\hat{i} - \sqrt{3} \hat{j})$ . The angle of incidence is

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Answer:

Solution:

The angle between the incident ray and the reflected ray

$\cos δ = \frac{(\hat{i} + \sqrt{3} \hat{j}) . (\hat{i} - \sqrt{3} \hat{j})}{2 \times 2}$

$\cos δ = - \frac{1}{2} \Rightarrow δ = 120 °$

$180 ° - (i + r) = 120 °$

$\Rightarrow 2 i = 60 °$

$\Rightarrow i = 30 °$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Geometrical OpticsSubtopic:Reflection at plane surface

⏱ 2mℹ️ Source: PYQ_2020

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