Question

Ball of mass 200g is moving with a speed of 17m/s. What is its deBroglie wavelength?

Answer 1

The deBoglie wavelength is 1.95 ×10⁻³⁴ m

Step-by-step explanation:

To calculate the deBoglie wavelength, we use the formula;

λ = h/ρ

where ρ is the momentum

So first we will find the momentum, momentum(ρ) = mv

m is the mass and v is the velocity, the mass must be in kilogram

So from the question, mass (m) = 200g converting this to kilogram, mass(m) =200/1000=0.2kg

v =17m/s

We can now substitute our values in ρ = mv and solve for momentum

Momentum(ρ) = mv

=0.2×17

=3.4 kgm/s

ρ = 3.4 kgm/s

We can now proceed to find the deBoglie wavelength

deBoglie wavelength(λ) = h/ρ h is a constant = 6.626×10⁻³⁴ j.s

deBoglie wavelength(λ) = h/ρ

= 6.626×10⁻³⁴/3.4

=1.95 ×10⁻³⁴ m

Therefore the deBoglie wavelength is 1.95 ×10⁻³⁴ m

Answer 2

Answer:
`1.94* 10^(-34)m`

Step-by-step explanation:

Formula used :
`\lambda=(h)/(m* v)`

where,

`\lambda` = wavelength =?

h = Planck's constant =
`6.626* 10^(-34)Js`

m = mass = 200 g = 0.2kg

v = velocity =
`17m/s`

Now put all the given values in this formula, we get

`\lambda=(6.626* 10^(-34)Js)/(0.2kg* 17m/s)=1.94* 10^(-34)m`

The de Broglie wavelength for the ball is
`1.94* 10^(-34)m`