Problem: The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 68.0 m/s , what is its corresponding wavelength?Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, λ, of a particle of mass mm, and moving at velocity v, is given by the de Broglie relationwhere h = 6.626 × 10− 34 J ⋅ s is Planck's constant.This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal.

🤓 Based on our data, we think this question is relevant for Professor Davis & Chen's class at McMaster University.

FREE Expert Solution
Problem Details

The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 68.0 m/s , what is its corresponding wavelength?


Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, λ, of a particle of mass mm, and moving at velocity v, is given by the de Broglie relation

where h = 6.626 × 10− 34 J ⋅ s is Planck's constant.

This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the De Broglie Wavelength concept. You can view video lessons to learn De Broglie Wavelength. Or if you need more De Broglie Wavelength practice, you can also practice De Broglie Wavelength practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Davis & Chen's class at McMaster University.