Question

If particles are moving with same velocity maximum debroglie wavelength is for

Answer 1

Heya Dear ☺

Here is your answer
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The french physicist Lewis de Broglie proposed that matter like radiation also possesses dual nature.

E = hc/λ..(Planck’s theory)

E = mc²…(Einstein’s equation)

mc² = hc/λ

∴ λ = h/mc

For a particle moving with velocity v λ = h/mv

Thus if two particles have same velocity the particle with the lesser mass will have a greater de Broglie wavelength.

Hope it helps you ☺

Answer 2

Answer:

If two particles are moving with the same velocity maximum de Broglie wavelength is for a particle with less mass

Explanation:

• The de Broglie wavelength is the wavelength of matter in wave nature

• For a particle with mass (m) and moving with velocity (v), the de Broglie wavelength is given by the formula

       λ =$h/p=h/mv$    (equation 1)

      where Planck's constant $h=6.6*10^{-34}$

     $p$- the momentum of the particle

From the question,

the velocity of both the particles is the same

but the masses are different

de Broglie wavelength of the first particle $\lambda _1=\frac{h}{m_1v}$

de Broglie wavelength of the first particle $\lambda _2=\frac{h}{m_2v}$

since velocities are the same wavelength will depend only on the mass of the particle as they are inversely proportional to each other

if

$m_1>m_2\Rightarrow \lambda _1<\lambda _2$

$m_2>m_1\Rightarrow \lambda _2<\lambda _1$

that is maximum de Broglie wavelength is for a particle with less mass