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JEE Advanced 2013Paper 1
Exam
JEE Advanced
Year
2013
Paper
Paper 1
Subject
Physics
Chapter
Dual Nature of Matter

JEE Advanced 2013 · Paper 1 · Physics · Dual Nature of Matter

A pulse of light of duration 100 ns is absorbed completely by a...

A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of light is 3 ×108 ms-1. The final momentum of the object is

Options

  1. A0.3×10−17kgms−1\text{0.3} × 1 {0}^{- 1 7} {kg ms}^{-1}
  2. B1.0×10−17kgms−1\text{1.0} × 1 {0}^{- 1 7} {kg ms}^{-1}
  3. C3.0×10−17kgms−1\text{3.0} × 1 {0}^{- 1 7} {kg ms}^{-1}
  4. D9.0×10−17kgms−1\text{9.0} × 1 {0}^{- 1 7} {kg ms}^{-1}

Correct answer

B. 1.0×10−17kgms−1\text{1.0} × 1 {0}^{- 1 7} {kg ms}^{-1}

Step-by-step solution

Power=EtE=Energy \text{Power} = \dfrac{\text{E}}{\text{t}} E = \text{Energy }
∴ \text{E} = \text{Power} × \text{time} = \dfrac{\text{hc}}{λ}
\dfrac{\text{hc}}{λ} = 3 0 × 1 {0}^{- 3} × 1 0 0 × 1 {0}^{- 9}
∴ \text{p} = \dfrac{\text{h}}{λ} = \dfrac{3 × 1 {0}^{- 9}}{3 × 1 {0}^{8}} = 1 × 1 {0}^{-1 7} kg ms
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