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Standard XII
Physics
Wave Nature of Matter
Question
An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is, (nearly) :
$$(m_e = 9 \times 10^{-31} kg)$$
A
$$12.2 \times 10^{-14} m$$
B
$$12.2 \times 10^{-12} m$$
C
$$12.2 \times 10^{-13} m$$
D
$$12.2 nm$$
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Solution
Verified by Toppr
Correct option is B. $$12.2 \times 10^{-12} m$$
For an electron accelerated through a potential V,
$$\lambda = \dfrac{12.27}{\sqrt{V}} \mathring { A } $$
$$= \dfrac{12.27 \times 10^{-10}}{\sqrt{10000}}$$
$$ = 12.27 \times 10^{-12} m$$
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An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is, (nearly) :
$$(m_e = 9 \times 10^{-31} kg)$$
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e
=
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