Dual Nature Of Radiation And Matter Ques 64

64. Kinetic energy of an electron, which is accelerated in a potential difference of $100$ $ V$ is

[1995]

(a) $1.6 \times 10^{-17}$ $ J$

(b) $1.6 \times 10^{-19}$ $ J$

(c) $1.6 \times 10^{-21}$ $ J$

(d) $1.6 \times 10^{-25}$ $ J$

Show Answer

Answer:

Correct Answer: 64.(a)

Solution:

  1. (a) Potential difference $(V)=100 $ $V$. The kinetic energy of an electron $=1 $ $eV=1 \times(1.6 \times 10^{-19})$ $=1.6 \times 10^{-19}$ $ J$.

Therefore kinetic energy in $100$ volts $=(1.6 \times 10^{-19}) \times 100=1.6 \times 10^{-17}$ $ J$.

$K.E.$ $=qV$

$=1.6 \times 10^{-19} \times 100 $ $J=1.6 \times 10^{-17}$