Q. The uncertainity in position for a dust particle ($m = 10^{- 11}$ g ; diameter = $10^{- 4}$ cm and velocity $= 10^{- 4}$ cm/s) will be (The error in measurement of velocity is 1%)
A) $5.27 \times 10^{- 4}$ cm
B) $5.27 \times 10^{- 5}$ cm
C) $5.27 \times 10^{- 6}$ cm
D) $5.27 \times 10^{- 7}$ cm
Explanation
(c)
Use, $\mathrm{\Delta}v \times \mathrm{\Delta}x = \frac{h}{4\pi m}$ or $\mathrm{\Delta}x = \frac{h}{4\pi m \bullet \mathrm{\Delta}v}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.