Question

calculate the wavelength of a body of mass 1 mg moving with velocity of 10 m/s.

Answer 1

λ = h / (mv) ……………[Here h = planck’s constant]
= 6.626 × 10^-34 m² kg/s / (1 × 10^-3 kg × 10 m/s)
= 6.626 × 10^-32 m

Wavelength of body is 6.626 × 10^-32 m

Answer 2

Given:

• Mass = 1 mg = 10^(-6) kg.
• Velocity = 10 m/s.

To find:

• Wavelength of the body ?

Calculation:

For any moving object, we can easily calculate the wavelength of the body using DE-BROGLIE WAVELENGTH formula:

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

• 'h' is PLANCK'S CONSTANT, 'm' is mass and 'v' is velocity of the object.

$\implies \lambda = \dfrac{6.63 \times {10}^{ - 34} }{ {10}^{ - 6} \times 10}$

$\implies \lambda = \dfrac{6.63 \times {10}^{ - 34} }{ {10}^{ - 5} }$

$\implies \lambda = 6.63 \times {10}^{ - 34 + 5}$

$\implies \lambda = 6.63 \times {10}^{ - 29} \: metres$

So, the wavelength of the moving object is 6.63 × 10^(-29) metres.