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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 $= 10\text{\AA}$ $\therefore E = \frac{hc}{\lambda} = mc^2$ $m = \frac{h}{c\lambda}$ $x = \frac{3}{3 \times 10^8 \times 10 \times 10^{-10}}$ $x = 10$


Learning Progress: Step 8 of 28 in this series