Question

calculate the wavelength of a body of mass 96.0 mg and moving with a velocity of 30.0 m/s. the value of Planck's constant is 6.626 ×10^-34 j•s​

Answer 1

`2.30 * 10^(-31) \text{ m}`

Step-by-step explanation:

The relation between the speed and the de Broglie wavelength λ of a particle is

`\lambda = (h)/(mv )`

Data:

h = 6.626 × 10⁻³⁴ J·s

m = 96.0 mg

v = 30.0 m/s

Calculations:

(a) Convert milligrams to kilograms

`m = \text{96.0 mg} * \frac{\text{1 g}}{\text{1000 mg}} * \frac{\text{1 kg} }{\text{1000 g}} = 9.60 * 10^(-5)\text{ kg}`

(b) Calculate the wavelength

`\lambda = (6.626 * 10^(-34 ))/(9.60 * 10^(-5)* 30.0) = \mathbf{2.30 * 10^(-31)} \textbf{ m}`