Atomic Structure Question 476
Question: Table-tennis ball has a mass 10 g and a speed of 90 m/s. If speed can be measured within an accuracy of 4% what will be the uncertainity in speed and position
Options:
A) $ 1.58\times {10^{-34}},m $
B) $ 1.46\times {10^{-33}},m $
C) $ 2.45\times {10^{-24}},m $
D) $ 3.48\times {10^{-31}},m $
Show Answer
Answer:
Correct Answer: B
Solution:
- Uncertainty in the speed of ball $ =\frac{90\times 4}{100}=\frac{360}{100}=3.6,m{s^{-1}} $ Uncertainty in position $ =\frac{h}{4\pi m\Delta V} $ $ =\frac{6.626\times {10^{-34}},JS}{4\times 3.14\times 10\times {10^{-3}},kg{g^{-1}}\times 3.6,m{s^{-1}}} $ $ =1.46\times {10^{-33}},m $
