Q.
A ball weighing 10g is moving with a velocity of 90 ms−1 . If the uncertainty in its velocity is 5%, then the uncertainty in its position is ________ ×10−33m . [Given: h=6.63×10−34Js ]
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answer is 1.17.
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Detailed Solution
Δx⋅Δv=h4πm=6.626×10−34Jsec4×3.14×10×10−3×4.55100×90=4.5=6.626×10−344×3.14×10×10−3×4.5=6.626×10−34565.2×10−3=0.01172×10−31=1.17×10−2×10−31 =1.17×10−33m
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