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JEE PYQ: Experimental Physics Question 24

Question 24 - 2019 (10 Jan 2019 Shift 1)

In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used. To resolve a width of $7.5 \times 10^{-12}$ m, the minimum electron energy required is close to:

(1) 500 keV

(2) 100 keV

(3) 1 keV

(4) 25 keV

Show Answer

Answer: (4)

Solution

$\lambda = \frac{h}{P}$. KE $= \frac{P^2}{2m} = \frac{(h/\lambda)^2}{2m} = \frac{(6.6 \times 10^{-34})^2}{(7.5 \times 10^{-12})^2 \times 2 \times 9.1 \times 10^{-31}} = 25$ keV.


Learning Progress: Step 24 of 28 in this series