Question

A 0.1 g ball is moving with a speed of 10 m/s. The associated wavelength with the ball will be (n = 6.62 x 10-34 Js)

Answer 1

Final answer: The associated wavelength is $6.62\times10^{-31}$ $m$.

Given that: We are given, $0.1$ $g$ ball is moving with a speed of $10$ $\frac{m}{s}$ and $h = 6.62 \times 10^{-34} Js$

To find: We have to find wavelength.

Explanation:

• Wavelength of ball can be calculated by using the de-Broglie equation.
• The de-Broglie equation relating the momentum of a particle with its wavelength. The de Broglie equation actually define the wave properties of matter. This equation helps us to understand the idea of matter having a wavelength.

• According to de-Broglie equation,

              $\lambda=\frac{h}{p}$

Where, p = momentum of the particle

              $p=mv$

• Replacing p with "$mv$", we get: $\lambda=\frac{h}{mv}$

Where,

$\lambda$ = de-Broglie wavelength = ?

h = Planck's constant = $6.62 \times 10^{-34} Js$ (given)

m = mass of object = mass of ball = $0.1$ $g$ =$1\times10^{-4} kg$

v = velocity = $10$ $\frac{m}{s}$

• Substitute values in de-Broglie equation.

          $\lambda=\frac{6.62 \times 10^{-34}}{(1 \times 10^{-4}) \times1 0}$

             $=6.62\times10^{-31}$ $m$

• Thus, the associated wavelength is $6.62\times10^{-31}$ $m$.

To know more about the concept please go through the links

https://brainly.in/question/15416946

https://brainly.in/question/1878155

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