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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 7.5×10⁻¹² m, the minimum electron energy required is close to

Asked in JEE Main 10th Jan 1st Shift 2019 · Matter waves in other settings

Answer: (1) 25 keV

Step-by-step solution

p=h/λ=(6.63×10⁻³⁴)/(7.5×10⁻¹²)=8.84×10⁻²³ kg m s⁻¹.

K=(p²)/(2m)=((8.84×10⁻²³)²)/(2×9.1×10⁻³¹)=4.3×10⁻¹⁵ J.

K=(4.3×10⁻¹⁵)/(1.6×10⁻¹⁹)≈27 keV, closest to 25 keV.

Why the other options are wrong

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