JEE PYQ: Nuclear Physics Question 8
Question 8 - 2021 (25 Feb Shift 2)
The wavelength of an X-ray beam is 10 $\text{\AA}$. The mass of a fictitious particle having the same energy as that of the X-ray photons is $\frac{x}{3}h$ kg. The value of $x$ is
(1) $\frac{1}{10}$
(2) 10
(3) $\frac{1}{3}$
(4) 3
Show Answer
Answer: (10)
Solution
Given wavelength of an X-ray beam $= 10\text{\AA}$ $\therefore E = \frac{hc}{\lambda} = mc^2$ $m = \frac{h}{c\lambda}$ $x = \frac{3}{3 \times 10^8 \times 10 \times 10^{-10}}$ $x = 10$