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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2011 · Physics · Dual Nature of Matter

Electrons used in an electron microscope are accelerated by a...

Electrons used in an electron microscope are accelerated by a voltage of 25kV25 \mathrm{kV}. If the voltage is increased to 100kV100 \mathrm{kV} then the de-Broglie wavelength associated with the electrons would

Options

  1. Adecrease by 2 times
  2. Bdecrease by 4 times
  3. Cincrease by 4 times
  4. Dincrease by 2 times

Correct answer

A. decrease by 2 times

Step-by-step solution

We have \lambda=12.27VSO\frac{12.27}{\sqrt{V}} \mathrm{SO}, λ1λ2=V2V1λ2=λ1V1V2λ2=λ125100λ2=λ114=λ12\begin{aligned}& \frac{\lambda_1}{\lambda_2}=\sqrt{\frac{V_2}{V_1}}\\ & \lambda_2=\lambda_1 \sqrt{\frac{V_1}{V_2}}\\ & \lambda_2=\lambda_1 \sqrt{\frac{25}{100}}\\ & \lambda_2=\lambda_1 \sqrt{\frac{1}{4}}=\frac{\lambda_1}{2} \end{aligned}
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