If uncertainty in position and momentum are equal,then uncertainty in velocity is

  • A
    $ \frac{1}{m} \sqrt{\frac{h}{\pi}} $
  • B
    $ \sqrt{\frac{h}{\pi}} $
  • C
    $ \frac{1}{2m} \sqrt{\frac{h}{\pi}} $
  • D
    $ \sqrt{\frac{h}{2 \pi}} $

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Similar Questions

If $\Delta x$ is the uncertainty in position and $\Delta v$ is the uncertainty in velocity of a particle are equal,the correct expression for uncertainty in momentum for the same particle is

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 $:$

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 uncertainties in the velocities of two particles,$A$ and $B$ are $0.05 \ ms^{-1}$ and $0.02 \ ms^{-1}$ respectively. The mass of $B$ is five times that of the mass of $A$. What is the ratio of uncertainties $\frac{\Delta x_A}{\Delta x_B}$ in their positions?

Which of the following rules states that it is impossible to determine simultaneously the exact position and exact momentum of an electron?

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