What is the maximum speed of a 0.25-kg ball for it to be diffracted when passing through a 0.85-m wide doorway? (Hint: use the condition for diffraction of w $\le$ 10$\lambda$.) A)3.1 * 10^-32 m/s B)2.7 * 10^-32 m/s C)4.6 * 10^-32 m/s D)1.8 * 10^-32 m/s E)0.53 * 10^-32 m/s

Question

Quizplus · Accepted Answer

The condition for diffraction is that the wavelength $\lambda$ should be such that the width $w$ of the opening is less than or equal to 10 times the wavelength ($w \le 10\lambda$). Using the de Broglie wavelength formula $\lambda = \frac{h}{mv}$, where $h$ is Planck's constant, $m$ is the mass, and $v$ is the velocity, we can solve for $v$. Substituting the given values and solving gives the maximum speed as approximately 3.1 * 10^-32 m/s.

What Is the Maximum Speed of a 0 ≤\le≤ 10 λ\lambdaλ ) A)31 * 10-32 M/s B)2

What Is the Maximum Speed of a 0 $\le$ 10 $\lambda$ )
A)31 * 10^-32 M/s
B)2