A deutron is moving with a speed of 2*10^8m/s. Find the wavelength of the matter wave associated with it?
To find the wavelength of the matter wave associated with a deutron, we can make use of the de Broglie wavelength equation. According to this equation, the wavelength (λ) is given by:
λ = h / p
where λ is the wavelength, h is the Planck's constant (approximated as 6.626 x 10^-34 Js), and p is the momentum of the particle.
The momentum (p) can be calculated using the equation:
p = m * v
where m is the mass of the particle and v is its velocity.
Given that the speed of the deutron is 2 x 10^8 m/s, we need to find the deutron's momentum.
The mass of a deutron (m) is 2 atomic mass units (u), which is approximately equal to 3.34 x 10^-27 kg.
Using the equation for momentum:
p = m * v
= (3.34 x 10^-27 kg) * (2 x 10^8 m/s)
Calculating p will give us the momentum of the deutron.
Once we have the value of p, we can plug it into the de Broglie wavelength equation to find the wavelength (λ) of the matter wave associated with the deutron.