Which of the following statements is $correct$?

  • A
    An electron cannot exist inside the nucleus because the uncertainty in speed becomes greater than the speed of light.
  • B
    The wavelength associated with a $1 \ g$ particle moving with a velocity of $100 \ m/s$ has physical significance.
  • C
    It is possible to determine the position as well as momentum precisely for a very fast-moving particle.
  • D
    An electron having a total kinetic energy of $E_1$ has a wavelength associated with it equal to $\frac{hc}{E_1}$ [$h =$ Planck's constant].

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Similar Questions

Uncertainty in position and momentum are equal. Uncertainty in velocity is :-

Given below are two statements:
Statement $I:$ According to Bohr's model of hydrogen atom,the angular momentum of an electron in a given stationary state is quantised.
Statement $II:$ The concept of electron in Bohr's orbit,violates the Heisenberg uncertainty principle.
In the light of the above statements,choose the most appropriate answer from the options given below:

In an atom,an electron is moving with a speed of $600 \, m/s$ with an accuracy of $0.005 \%$. The certainty with which the position of the electron can be located is $(h = 6.6 \times 10^{-34} \, kg \, m^2 s^{-1}, m_e = 9.1 \times 10^{-31} \, kg)$:

The equation $\Delta x \cdot \Delta p \ge \frac{h}{4\pi}$ shows

If the uncertainty in the position of an electron is associated with an uncertainty in momentum of $2 \times 10^{-17} \ g \ cm \ s^{-1}$,what will be the uncertainty in the velocity of the electron?

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