Answer:
The speed is 33.5 m/s.
Step-by-step explanation:
Given that,
Mass = 0.064 kg
Wavelength
![\lambda= 3.09*10^(-34)\ m](https://img.qammunity.org/2020/formulas/physics/college/8j4b57twlv5zxtn4w0im8227a9hphuuo41.png)
We need to calculate the speed
Using formula of he de Broglie wavelength
![\lambda=(h)/(mv)](https://img.qammunity.org/2020/formulas/physics/college/ou6kytka95dqopwy19p3cjsxk7apyqjvql.png)
![v=(h)/(m\lambda)](https://img.qammunity.org/2020/formulas/physics/college/wzxb63ocx5hi6zx75ghqnoqjlqfg24m1jc.png)
Where, h = Planck constant
m = mass
= wavelength
Put the value into the formula
![v = (6.63*10^(-34))/(0.064* 3.09*10^(-34))](https://img.qammunity.org/2020/formulas/physics/college/9753bibyffx3aaom0arz7l72kctdsg6egp.png)
![v=33.5\ m/s](https://img.qammunity.org/2020/formulas/physics/college/229p3sbl3tsf0sjz1bx6tkz702xh6mfq1y.png)
Hence, The speed is 33.5 m/s.