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Physics · 2023 · 3 marks
CBSE 2023 · Region 1 · Set 3 · Q30
A particle is associated with a de Broglie wave of wavelength 1.2 nm. The kinetic energy of the particle is made four times. Calculate the new value…
A particle is associated with a de Broglie wave of wavelength $\displaystyle 1.2 \mathrm{~nm}$. The kinetic energy of the particle is made four times. Calculate the new value of the wavelength of the wave.
Marking-scheme solution
\[\begin{aligned}
\lambda & =\frac{\mathrm{h}}{\sqrt{2 m K}} \\
\lambda^{\prime} & =\frac{\mathrm{h}}{\sqrt{2 m \times}} \\
& =\frac{1}{2} \\
& =\frac{\lambda}{2} \\
& =\frac{1.2 n m}{2} \\
& =0.6 \mathrm{~nm}
\end{aligned}
\]
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