Which one is not the correct relation in the following?

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

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If a proton is accelerated to a velocity of $3 \times 10^7 \text{ ms}^{-1}$ which is accurate up to $\pm 0.5 \%$,then the uncertainty in its position will be $\ldots \ldots \ldots$ [mass of proton $= 1.66 \times 10^{-27} \text{ kg}$,$h = 6.6 \times 10^{-34} \text{ Js}$]

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What is the uncertainty product $\Delta v \cdot \Delta x$ for a particle of mass $1 \ mg$? What does this imply?

If the uncertainty in position is of the order of $1 \, \mathring{A}$,what will be the uncertainty in velocity of a cricket ball weighing $150 \, g$?

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

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