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JEE Main 201910 JanuaryMorning Shift
Exam
JEE Main
Year
2019
Date
10 January
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2019 · 10 January · Morning Shift · Physics · Dual Nature of Matter

In an electron microscope, the resolution that can be achieved is...

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 7.5×10−12m,7.5 \times {10}^{- 12}m, the minimum electron energy required is close to:

Options

  1. A100keV100keV
  2. B25keV25keV
  3. C1keV1keV
  4. D500keV500keV

Correct answer

B. 25keV25keV

Step-by-step solution

λ=150V⇒7.5×10−2=150V\lambda = \sqrt{\dfrac{150}{V}} ⇒ 7.5 \times {10}^{- 2} = \sqrt{\dfrac{150}{V}}

V=1507.5×7.5×10−4=803kVV = \dfrac{150}{7.5 \times 7.5 \times {10}^{- 4}} = \dfrac{80}{3}kV

V≈25KeVV \approx 25KeV
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