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JEE Main 202126 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Evening Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2021 · 26 February · Evening Shift · Chemistry · Structure of Atom

A ball weighing 10g is moving with a velocity of 90m s ^ - 1 . If...

A ball weighing 10g10g is moving with a velocity of 90ms−1.90m{s}^{- 1} . If the uncertainty in its velocity is 55 %, then the uncertainty in its position is _ ×10−33m.\times {10}^{- 33}m . (Rounded off to the nearest integer)

[Given: h=6.63×10−34Jsh = 6 . 63 \times {10}^{- 34}Js]

Correct answer

0

Step-by-step solution

Δv=90×5100\Delta v = 90 \times \dfrac{5}{100}

=4.5ms−1= 4 . 5m{s}^{- 1}

Δv.Δx=h4πm\Delta v . \Delta x = \dfrac{h}{4\pi m}

Δx=h4πm⋅Δv\Delta x = \dfrac{h}{4\pi m \cdot \Delta v}

=6.63×10−344×3.14×0.01×4.5= \dfrac{6 . 63 \times {10}^{- 34}}{4 \times 3 . 14 \times 0 . 01 \times 4 . 5}

=1.17×10−33= 1 . 17 \times {10}^{- 33}

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