Exciting Billiard Ball Discovery!

How can we calculate the velocity of a billiard ball based on its wavelength?

Given data: wavelength of 7.50 cm and mass of 0.400 kg

Calculation of Billiard Ball Velocity

According to the de Broglie wavelength equation, the velocity of the billiard ball can be determined by dividing Planck's constant by (mass times wavelength).

When analyzing the data provided, we can calculate the velocity of the billiard ball by using the equation for de Broglie wavelength. The equation states that the wavelength is equal to Planck's constant divided by the momentum of the particle, where momentum is given by the product of mass and velocity.

By rearranging the equation, we can isolate the velocity term and calculate it based on the given mass and wavelength. Substituting the values into the equation, we find that the velocity of the billiard ball is approximately 0.177 m/s.

This discovery showcases the fascinating relationship between the wavelength and velocity of particles, shedding light on the intricate world of quantum mechanics. By understanding these principles, we can delve deeper into the behavior of microscopic particles and their properties.