Chapter 27, Problem 8STP

To determine

To Calculate: The mass the of object.

Answer to Problem 8STP

  $0.064\text{kg}$

Explanation of Solution

Given data:

de Broglie wavelength of object, $\lambda =2.3\times {10}^{-34}\text{m}$

Velocity of object, $v=45\text{m}\cdot {\text{s}}^{\text{-1}}$

Formula used:

de Broglie wavelength can be obtained by:

  $\lambda =\frac{h}{mv}$

Where,

  $\lambda =$ de Broglie wavelength

  $h=$ Planck’s constant $=6.626\times {10}^{-34}\text{J}\cdot \text{s}$

  $m=$mass of the object

  $v=$velocity of the object

Calculation:

Substitute the values and solve:

  $\begin{array}{l}\lambda =\frac{h}{mv}\\ \text{ 2}\text{.3}\times {\text{10}}^{-34}\text{ =}\frac{6.626\times {10}^{-34}}{m\times 45}\\ m=\frac{6.626\times {10}^{-34}}{45\times 2.3\times {10}^{-34}}\\ m=0.064\text{kg}\end{array}$

Conclusion:

The mass of object is $0.064\text{kg}$ .