Question

what is the wavelength of an electron moving with a speed that is 5% of the speed of light?

Answer 1

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$\huge \underline{☻ ᗩᑎՏᗯᗴᖇ ☻}$

By de-Broglie's theory, the wavelength of any

$\tt{particles λ= \huge\frac{h}{p} }$

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$\tt{p=mV  \: \: \:  ∴λ= \huge \frac{h}{mv} }$

$\tt{v = \huge \frac{c}{5} = \frac{3 \times {10}^{8} }{5} }$

$\tt{∴λ= \frac{6.63×10 {}^{ - 34} \times 5}{9 \times 10 {}^{ - 31} \times 3 \times 10 {}^{8} } = \small{1.23×10 {}^{ - 11}m }}$

➔ Answer ࿐

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$\implies \huge \: 1.23 \times 10 {}^{ - 11}$

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