Find the speed of an electron with kinetic energy 1 eV
$589.92 \times 10^{5} m s^{- 1}$
$50.92 \times 10^{5} m s^{- 1}$
$599.92 \times 10^{5} m s^{- 1}$
$5.92 \times 10^{5} m s^{- 1}$

Question

Find the speed of an electron with kinetic energy 1 eV589-92 times 10-5 ms-1-50-92 times 10-5 ms-1-599-92 times 10-5 ms-1-5-92 times 10-5 ms-1-

Toppr Admin · Accepted Answer

K-E-1eV-1-6-xD7-10-x2212-19JMass of electron- m-9-1-xD7-10-x2212-31-x338F-x2234-K-E-12mv2-x21D2-v-x221A-2K-E-m-x221A-2-xD7-1-6-xD7-10-x2212-199-1-xD7-10-x2212-31-5-92-xD7-105m-s

Find the speed of an electron with kinetic energy 1 eV589.92×105ms−150.92×105ms−1599.92×105ms−15.92×105ms−1

K.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

Find the speed of an electron with kinetic energy 1 eV
$589.92 \times 10^{5} m s^{- 1}$
$50.92 \times 10^{5} m s^{- 1}$
$599.92 \times 10^{5} m s^{- 1}$
$5.92 \times 10^{5} m s^{- 1}$

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