The wavelength of the particle is 9nm.
The De-Broglie Wavelength is the wavelength of a particle when it is moving with a velocity having a certain mass.
λ = h/mv
where, h is the Planck constant
m is the mass of particle
v is the velocity of particle
λ is the wavelength of particle
Given,
h = 6.6× 10⁻³⁴
m = 9.11 × 10⁻³⁴
v = 15% of 3× 10⁸ = 15 × 3× 10⁶ = 75× 10⁶
Putting the values in above equation,
λ = 6.6× 10⁻³⁴ / 9.11 × 10⁻³⁴× 75× 10⁶
λ = 0.009× 10⁻⁶
λ = 9× 10⁻⁹m
λ = 9nm
Hence, the wavelength of particle is 9nm.
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