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Question

Question: The momentum of a photon having frequency 1.0 × 10<sup>15</sup> s<sup>–1</sup> is about...

The momentum of a photon having frequency

1.0 × 1015 s–1 is about

A

2.21 × 10–11 kg m s–1

B

2.21 × 10–27 kg m s–1

C

2.21 × 10–19 kg m s–1

D

6.63 × 10–19 kg m s–1

Answer

2.21 × 10–27 kg m s–1

Explanation

Solution

P = hλ\frac{h}{\lambda} = hC\frac{h}{C} × n

= (6.6×1034Js)(1015s1)(3×108ms1)\frac{(6.6 \times 10^{–34}Js)(10^{15}s^{–1})}{(3 \times 10^{8}ms^{–1})}

= 2.21× 10–27 kg ms–1