The de Broglie wavelength of a particle is 3.62 x 10‒11 m when it has a speed of2.8×103 m s‒1. Calculate the mass of the particle.

To calculate the mass of the particle, we can use the de Broglie wavelength formula:

λ = h / (m * v)

where: λ is the de Broglie wavelength, h is the Planck constant (6.62607015 × 10^-34 m^2 kg / s), m is the mass of the particle, and v is the speed of the particle.

We can rearrange the formula to solve for m:

m = h / (λ * v)

Substituting the given values:

m = (6.62607015 × 10^-34 m^2 kg / s) / ((3.62 x 10‒11 m) * (2.8×10^3 m/s))

After performing the calculation, we find that the mass of the particle is approximately 5.15 x 10^-27 kg.