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

Answer:

$2.30 \times 10^{-31} \text{ m}$

Explanation:

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

$\lambda = \dfrac{h}{mv }$

Data:

 h = 6.626 × 10⁻³⁴ J·s

m = 96.0 mg

v = 30.0 m/s

Calculations:

(a) Convert milligrams to kilograms

$m = \text{96.0 mg} \times \dfrac{\text{1 g}}{\text{1000 mg}} \times \dfrac{\text{1 kg} }{\text{1000 g}} = 9.60 \times 10^{-5}\text{ kg}$

(b) Calculate the wavelength

$\lambda = \dfrac{6.626 \times 10^{-34 }}{9.60 \times 10^{-5}\times 30.0} = \mathbf{2.30 \times 10^{-31}} \textbf{ m}$