A particle having electric charge 3 x 10 19 C and mass ... | null (Physics) | DivineJEE

JEE Mains 2026 21st January Shift 2

Physics

A particle having electric charge

3 \times 10^{-19} \mathrm{C}

and mass

6 \times 10^{-27} \mathrm{~kg}

is accelerated by applying an electric potential of 1.21 V . Wavelength of the matter wave associated with the particle is

\alpha \times 10^{-12} \mathrm{~m}

. The value of

\alpha

\_\_\_\_

. (Take Planck's constant

=6.6 \times 10^{-34} \mathrm{~J} . \mathrm{s}

)

Correct Answer:

\lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mqV}}}

\\ \begin{aligned} & \lambda=\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 18 \times 10^{-46} \times 1.21}} \\ & \lambda=10^{-11} \mathrm{~m}=10 \times 10^{-12} \mathrm{~m} \\ & \alpha=10 \end{aligned}

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