An electron has a speed of 40m/s accurate upto 99.99%. What is the uncertainty in locating its position, given mass of electron = 9.11 × 10^-31 kg?
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Mass of electron = 9.1 X 10-31 kg.
uncertainty in position = Planck’s constant / 4 * pi * mass * uncertainty in velocity.
Planck's constant is given the symbol h in physics and numerically is equal to 6.63 x 10^-34 Joule seconds.
So, uncertainty =6.63x10^-34/4x3.14x9.1x10^-31x 40x0.9999
=6.63x10^-65/4x3.14x9.1x39.996
=0.001450327x10^-6
5=1.45x10^-68
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