Answer:
Wavelength = 1.36 * 10^{-34} meters
Step-by-step explanation:
Given the following data;
Mass = 0.113 kg
Velocity = 43 m/s
To find the wavelength, we would use the De Broglie's wave equation.
Mathematically, it is given by the formula;
![Wavelength = \frac {h}{mv}](https://img.qammunity.org/2022/formulas/physics/college/yhow1tog5rh0k8kdh65t0e877d1eqjs6ep.png)
Where;
h represents Planck’s constant.
m represents the mass of the particle.
v represents the velocity of the particle.
We know that Planck’s constant = 6.6262 * 10^{-34} Js
Substituting into the formula, we have;
![Wavelength = \frac {6.6262 * 10^(-34)}{0.113*43}](https://img.qammunity.org/2022/formulas/physics/college/vyeskaxansql0hjdwxj42bler79m1yrzn1.png)
![Wavelength = \frac {6.6262 * 10^(-34)}{4.859}](https://img.qammunity.org/2022/formulas/physics/college/b1fgj9c6un0c5rlbvehn6hm94bwwm4m4l2.png)
Wavelength = 1.36 * 10^{-34} meters