AP EAMCET · Chemistry · Structure of Atom
If uncertainities in the measurement of position and momentum of a microscopic object of mass ' \(m\) are equal, then the uncertainty in the measurement of velocity is given by the expression
- A \(\sqrt{\frac{h}{4 \pi m}}\)
- B \(\sqrt{\frac{h}{4 \pi}} \times \frac{1}{m}\)
- C \(\frac{h}{4 \pi} \times \sqrt{\frac{1}{m}}\)
- D \(\sqrt{\frac{h}{2 \pi m}}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{\frac{h}{4 \pi}} \times \frac{1}{m}\)
Step-by-step Solution
Detailed explanation
According to Heisenberg's uncertainity principle. It is impossible to determine simultaneously the position and momentum of moving particle thus. \[ \Delta x \times \Delta p \geq \frac{h}{4 \pi} \] But, \(\quad p=m \times v\)…
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