Question

A microscope using suitable photons is used to locate an electron in an atom within a distance
of 0.1 A. What is the uncertainty involved in the measurement of its velocity?


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Answer 1

Answer:

The correct answer is 2·623×10^6 m/s

Explanation:

Mathmatical form of Hisenberg's uncertainty rule

$v \geqslant \frac{h}{4\pi \times m \times x}$

where v= uncertainty uncertainty in velocity

x= uncertainty in position

m= mass of particle ( here electron)

h= Planck's constant=6.626×10^-34 J.s

GIVEN: x=0.1 A = 10^-11 m

m= 9.1×10^-31 kg

Put all the values in the given formula, you will get

Uncertainty in velocity= v = 2·623×10^6 m/s

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