Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsReflection at plane surfaceMedium2 minQB

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Passage / Comprehension

A mirror is mounted on a stand as shown. The mirror has negligible mass. On the other side, massless arrow is mounted. The natural length of the spring is 1 m. The whole system is on frictionless surface. The two bodies are pulled out such that spring is extended by 10 cm and released.

What is the maximum velocity of the image of the arrow as seen by a person on the ground?

Options:

Answer:

Solution:

$V_{I} - V_{M} = - (V_{O} - V_{M})$

$V_{I} = 2 V_{M} - V_{O} = 2 A_{3} ω + A_{2} ω, maximum at the mean position.$

$ω = k / μ = \frac{30}{2 \times 3} \times (2 + 3) = 5 rad / s$

$A_{2} + A_{3} = 10 cm and 2 A_{2} = 3 A_{3}, so A_{3} = 4 cm, A_{2} = 6 cm .$

$V_{I} = 2 \times 4 \times 5 + 6 \times 5 = 70 cm / s$

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

⏱ 2mℹ️ Source: QB

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