(a) Explanation Given info: The wavelength of the ultraviolet photon is 102.6 nm . Since, the identical photon is emitted in the perpendicular direction of motion of original photon. From the conservation of momentum, the initial momentum of the system in y -direction is, p y = h λ Here, p y is the initial momentum of the system in y -direction. h is the Planck’s Constant. λ is wavelength of the ultraviolet photon. The final momentum of the system in x -direction is, p x = h λ Here, p x is the final momentum of the system in x -direction. Formula to initial momentum of the system in y -direction in terms of mass is, p y = m v y Here, v y is the speed of the atom in the y -direction. m is the mass of the hydrogen atom. Substitute h λ for p y in above equation. h λ = m v y The value of Plank’s constant is 6.623 × 10 − 34 J ⋅ s and the mass of the mass of the hydrogen atom is 1.67 × 10 − 27 kg . Substitute 102.6 nm for λ , 1.67 × 10 − 27 kg for m and 6.623 × 10 − 34 J ⋅ s for h in above equation to find v y . 6.623 × 10 − 34 J ⋅ s 102.6 nm ( 10 − 9 m 1 nm ) = ( 1.67 × 10 − 27 kg ) v y v y = 6.45 m / s Thus, the speed of the atom in the y -direction is 6.45 m / s (b) To determine The final speed of the atom if it now emits an identical photon in opposite to the direction of motion of original photon.

Physics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780134020853

Author: James S. Walker

Publisher: PEARSON

See similar textbooks

Concept explainers

Particle Theory of Light

The particle theory of light was the proposal made by Newton in 1704 in his treatise Opticks. This is the most basic light theory, in which light is thought to be made up of microscopic particles known as "corpuscles" and that's why this particle theory …

Stopping Potential

In an experiment conducted by Heinrich Hertz, an apparatus was made where the incident light was made to fall on the metallic plate, it was discovered that metals emit electrons. The surface electrons are bound to metals with a minimum amount of energy a…

Quantization of Charges

An electron is a negatively charged subatomic particle either attached to an an atom or sticks to the nucleus of the atom. Electrons exert the negative charge that tries to balance the positive charge of the nucleus.

Question

Chapter 30, Problem 44PCE

(a)

To determine

The final speed of the atom if it now emits an identical photon in a perpendicular direction.

(b)

To determine

The final speed of the atom if it now emits an identical photon in opposite to the direction of motion of original photon.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 30, Problem 43PCE

Chapter 30, Problem 45PCE

Students have asked these similar questions

If the answer is 2.8, -2.8 or -8.4, it is not CORRECT

Three blocks, light connecting ropes, and a light frictionless pulley comprise a system, as shown in the figure. An external force of magnitude P is applied downward on block A, causing block A to accelerate downward at a constant 2.5 m/s2. The tension in the rope connecting block B and block C is equal to 60 N. (a) What is the magnitude of the force P? (b) What is the mass of block C?

Current Attempt in Progress In the figure what is the net electric potential at point P due to the four particles if V = 0 at infinity, q = 2.12 fC, and d = 1.75 cm? d Number MI Units +q

Chapter 30 Solutions

Physics, Books a la Carte Edition (5th Edition)

Ch. 30.1 - Prob. 1EYU Ch. 30.2 - Prob. 2EYU Ch. 30.3 - Prob. 3EYU Ch. 30.4 - Prob. 4EYU Ch. 30.5 - Prob. 5EYU Ch. 30.6 - Prob. 6EYU Ch. 30.7 - Prob. 7EYU Ch. 30 - Prob. 1CQ Ch. 30 - Prob. 2CQ Ch. 30 - Prob. 3CQ

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.