Question

Calculate mass of a subatomic particle whose velocity is 520m/s and wavelength is 2.5 angstrom

Answer 1

Answer:

In the physical sciences, subatomic particles are smaller than atoms. They can be composite particles, such as the neutron and proton; or elementary particles, which according to the standard model are not made of other particles. Particle physics and nuclear physics study these particles and how they interact.

Answer 2

Given:

Velocity (v) = 520 m/s

Wavelength (λ) = 2.5 Å = $\sf 2.5 \times 10^{-10}$ m

To Find:

Mass of subatomic particle (m)

Answer:

De-Broglie Wave Equation:

$\boxed{ \bf{ \lambda = \dfrac{h}{mv} }}$

By substituting values we get:

$\rm \implies 2.5 \times {10}^{ - 10} = \dfrac{6.6 \times {10}^{ - 34} }{m \times 540} \\ \\ \rm \implies m = \dfrac{6.626 \times {10}^{ - 34} }{ 540 \times 2.5 \times {10}^{ - 10} } \\ \\ \rm \implies m = 0.0049 \times {10}^{ - 34 + 10} \\ \\ \rm \implies m = 4.9 \times {10}^{ - 3} \times {10}^{ - 24} \\ \\ \rm \implies m = 4.9 \times {10}^{ - 24 - 3} \\ \\ \rm \implies m = 4.9 \times {10}^{ - 27} \: kg$

$\therefore$ $\boxed{\mathfrak{Mass \ of \ subatomic \ particle \ (m) = 4.9 \times 10^{-27} \ kg}}$