BITSAT 2018
- Exam
- BITSAT
- Year
- 2018
- Subject
- Chemistry
- Chapter
- Structure of Atom
BITSAT 2018 · Chemistry · Structure of Atom
In an atom, an electron is moving with a speed of 600m / s with an...
In an atom, an electron is moving with a speed of with an accuracy of . Certainty with which the position of the electron can be located is (h = 6. 6 \times {10}^{- 34}kgm^{2}s^{- 1}{m}_{e} = 9. 1 \times {10}^{- 31}kg
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Given that velocity of electron,
Accuracy of velocityAccording to Heisenberg's uncertainty principle
\left(\Delta x\right) . \left(m \Delta v\right) = \dfrac{h}{4\pi}∆ v = 0 . 005 %~or&600ms^{- 1}= \dfrac{600 \times 0 . 005}{100} = 0 . 03∆ x \times 9 . 1 \times {10}^{- 31} \times 0 . 03 = \dfrac{6 . 6 \times {10}^{- 34}}{4 \times 3 . 14}∆ x = \dfrac{6 . 6 \times {10}^{- 34}}{4 \times 3 . 14 \times 0 . 03 \times 9 . 1 \times {10}^{- 31}}= 1 . 92 \times {10}^{- 3}m$