Find the speed of an electron with kinetic energy 1 eV

50.92 \times 10^{5} m s^{- 1}

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589.92 \times 10^{5} m s^{- 1}

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5.92 \times 10^{5} m s^{- 1}

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599.92 \times 10^{5} m s^{- 1}

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Solution

The correct option is D $5.92 \times 10^{5} m s^{- 1}$
$K . E . = 1 e V$
$= 1.6 \times 10^{- 19} J$
Mass of electron, $m = 9.1 \times 10^{- 31} ㎏$
$∴ K . E . = \frac{1}{2} m v^{2}$
$\Rightarrow v = \sqrt{\frac{2 K . E .}{m}} = \sqrt{\frac{2 \times 1.6 \times 10^{- 19}}{9.1 \times 10^{- 31}}}$
$= 5.92 \times 10^{5} m / s$

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Find the speed of an electron with kinetic energy 1 eV

The correct option is D 5.92×105ms−1K.E.=1eV=1.6×10−19JMass of electron, m=9.1×10−31㎏∴K.E.=12mv2⇒v=√2K.E.m=√2×1.6×10−199.1×10−31=5.92×105m/s