If the wavelength of the particle is 1.5 x 10⁻¹⁵ m, the mass of the particle will be 1.636 × 10⁻²⁷ kg
Velocity of the particle = 90.0% of c ( speed of light)
Wavelength of the particle (λ) = 1.5 × 10⁻¹⁵ m
Mass of the particle = ?
Calculate the velocity of the particle
velocity = (90.0 / 100)(3 × 10⁸ m/s)
velocity = (0.90)(3 × 10⁸ m/s)
velocity = 2.70 × 10⁸ m/s
Now calculate the mass of the particle by using the following equation:
λ = h / mv
Rearrange the equation for mass
m = h / λv
value of h = 6.626 × 10⁻³⁴ Kg.m².s⁻¹
Put the values
m = (6.626 × 10-34 Kg.m².s⁻¹) / (1.5 × 10⁻¹⁵ m)(2.70 × 10⁸ m/s)
m = 1.636 × 10⁻²⁷ Kg
You can also learn about wavelength and velocity from the following question:
https://brainly.com/question/13943456
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