According to the Heisenberg uncertainty principle,which of the following expressions is correct?

  • A
    $E = mc^2$
  • B
    $\Delta x \times \Delta p \ge \frac{h}{4\pi}$
  • C
    $\lambda = \frac{h}{p}$
  • D
    $\Delta x \times \Delta p = \frac{h}{6\pi}$

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Similar Questions

Given below are two statements $:$
Statement $(I):$ It is impossible to specify simultaneously with arbitrary precision,both the linear momentum and the position of a particle.
Statement $(II) :$ If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron,then the uncertainty in the measurement of velocity is $\geq \sqrt{\frac{h}{4\pi}} \times \frac{1}{m}$ which simplifies to $\geq \frac{1}{2m} \sqrt{\frac{h}{\pi}}$. In the light of the above statements,choose the correct answer from the options given below $:$

Write down the Schrodinger wave equation for the hydrogen atom.

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The uncertainty in the position of a moving bullet of mass $10 \ g$ is $10^{-5} \ m$. Calculate the uncertainty in its velocity.

The uncertainty in momentum of an electron is $1 \times 10^{-5} \ kg \ m/s$. The uncertainty in its position will be $(h = 6.62 \times 10^{-34} \ kg \ m^2/s)$

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

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