Solveeit Logo
Login

Question

Question: What will be the uncertainty in velocity of an electron when the uncertainty in its position is 1000...

What will be the uncertainty in velocity of an electron when the uncertainty in its position is 1000 Ao\overset{o}{A}?

A

5.79×102ms−15.79 \times 10^{2}ms^{- 1}

B

5.79×108ms−15.79 \times 10^{8}ms^{- 1}

C

5.79×104ms−15.79 \times 10^{4}ms^{- 1}

D

5.79×10−10ms−15.79 \times 10^{- 10}ms^{- 1}

Answer

5.79×102ms−15.79 \times 10^{2}ms^{- 1}

Explanation

Solution

: Δx.mΔv=h4π\Delta x.m\Delta v = \frac{h}{4\pi}

Δx=1000Ao=1000×10−10mor10−7m\Delta x = 1000\overset{o}{A} = 1000 \times 10^{- 10}mor10^{- 7}m

Δv=6.626×10−34Js4×3.14×9.1×10−31kg×10−7m=5.79×102m/s\Delta v = \frac{6.626 \times 10^{- 34}Js}{4 \times 3.14 \times 9.1 \times 10^{- 31}kg \times 10^{- 7}m} = 5.79 \times 10^{2}m/s