An electron is moving with initial velocity $\vec{v} = V_0 \hat{j}$ in a magnetic field $\vec{B} = B_0 \hat{i}$. Its de-Broglie wavelength will

  • A
    decrease with time.
  • B
    increase and decrease periodically.
  • C
    remains constant.
  • D
    increase with time.

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Two large parallel plates are connected to the terminals of a $100 \, V$ power supply. These plates have a fine hole at the centre. An electron having energy $200 \, eV$ is directed such that it passes through the holes. When it comes out,its de-Broglie wavelength will be ............... $\mathring{A}$

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$A$ particle of mass $1 \, mg$ has the same wavelength as an electron moving with a velocity of $3 \times 10^6 \, m/s$. The velocity of the particle is (mass of electron $= 9.1 \times 10^{-31} \, kg$).

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