   Chapter 6, Problem 26PS

Chapter
Section
Textbook Problem

A rifle bullet (mass = 1.50 g) has a velocity of 7.00 x 102 mph (miles per hour). What is the wavelength associated with this bullet?

Interpretation Introduction

Interpretation: The wavelength of the rifle bullet is to be calculated.

Concept introduction:

The de Broglie’s equation is used to relate the wavelength to mass of a particle and the velocity at which it moves.

λ=hmvwhere, h=Planck'sconstantλ=wavelengthm=massoftheparticlev=velocityatwhichtheparticlemoves

Explanation

The wavelength of the rifle bullet is calculated below.

Given,

Massofthebullet=1.50g=1.50×103kgPlanck'sconstant,h=6.626×1034J.sVelocityofthebullet, v=7.00×102miles per hour=7.00×102miles per hour×1609.34m3600s=312.927m/s

According to de Broglie’s equation, wavelength of the rifle bullet is,

λ=hmv

Substituting the values,

λ=6

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