What will be the wavelength of an electron moving with 110 of velocity of light?

v=3×10810=3×107ms−1 λ=hmv=6.626×10−34Js9.1×10−31kg×3×107ms−1=2.43×10−11m

What will be the wavelength of an electron moving with 110 of velocity of light?

v=3×10810=3×107ms−1 λ=hmv=6.626×10−34Js9.1×10−31kg×3×107ms−1=2.43×10−11m

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What will be the wavelength of an electron moving with $\frac{1}{10}$ of velocity of light?

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$2.43 \times 10^{- 11} m$

$243 \times 10^{- 11} m$

$0.243 m$

$2.43 \times 10^{- 4} m$

answer is A.

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Detailed Solution

$v = \frac{3 \times 10^{8}}{10} = 3 \times 10^{7} {ms}^{- 1} λ = \frac{h}{mv} = \frac{6 .626 \times 10^{- 34} Js}{9 .1 \times 10^{- 31} kg \times 3 \times 10^{7} {ms}^{- 1}} = 2 .43 \times 10^{- 11} m$

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What will be the wavelength of an electron moving with $\frac{1}{10}$ of velocity of light?