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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2008 · Physics · Dual Nature of Matter

A particle of mass 1 mg has the same wavelength as an electron...

A particle of mass 1mg1 \mathrm{mg} has the same wavelength as an electron moving with a velocity of 3×106 ms−13 \times 10^6 \mathrm{~ms}^{-1}. The velocity of the particle is (mass of electron =9.1×10−31 kg=9.1 \times 10^{-31} \mathrm{~kg} )

Options

  1. A2.7×10−21 ms−12.7 \times 10^{-21} \mathrm{~ms}^{-1}
  2. B2.7×10−18 ms−12.7 \times 10^{-18} \mathrm{~ms}^{-1}
  3. C9×10−2 ms−19 \times 10^{-2} \mathrm{~ms}^{-1}
  4. D3×10−31 ms−13 \times 10^{-31} \mathrm{~ms}^{-1}

Correct answer

B. 2.7×10−18 ms−12.7 \times 10^{-18} \mathrm{~ms}^{-1}

Step-by-step solution

Same momentum of both particles 1×10−3\timesv=9×10−31×3×106v=2.7×10−18 m/s\begin{aligned}& 1 \times10^{-3} \timesv=9 \times10^{-31} \times3 \times10^6 \\ & v=2.7 \times10^{-18} \mathrm{~m}/ \mathrm{s} \end{aligned}
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