JEE PYQ: Atomic Structure Question 14
Question 14 - 2021 (26 Feb Shift 2)
A ball weighing 10 g is moving with a velocity of 90 m s$^{-1}$. If the uncertainty in its velocity is 5%, then the uncertainty in its position is ____ $\times 10^{-33}$ m.
[$h = 6.63 \times 10^{-34}$ J s]
Show Answer
Answer: 1
Solution
$\Delta v = 4.5$ m/s. $\Delta x \geq \frac{h}{4\pi m \Delta v} = \frac{6.63 \times 10^{-34}}{4 \times 3.14 \times 10^{-2} \times 4.5} \approx 1.17 \times 10^{-33}$ m. $x \approx 1$.
BETA
