Class 11th chemistry :-
A ball of 10 g mass is moving with a speed of 50 m/s. If the speed is
measured within accuracy of 2%, the uncertainty in the position of the
ball is?
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Answers
Heisenberg's Uncertainty Principle : Werner Heisenberg, a German physicist in 1927, stated uncertainty principle which is the consequence of dual behaviour of matter and radiation. It states that it is impossible to determine simultaneously the exact position and exact momentum [or velocity] of an electron.
Let's understand this with an example.
According to the NCERT, suppose you are asked to measure the thickness of a sheet of paper with an unmarked metrestick. Obviously, the results obtained would be extremely inaccurate and meaningless. In order to obtain any accuracy, you should also use an instrument graduated in units smaller than the thickness of a sheet of paper. Analogously, in order to determine the position of an electron, we must use a metrestick calibrated in units of smaller than the dimensions of electron [keep in mind that an electron is considered as a point charge and is therefore, dimensionless]. To observe an electron, we can illuminate it with “light”or electromagnetic radiation. The “light” use must have a wavelength smaller than the dimensions of an electron. The high momentum photons of such light, , would change the energy of electrons by collisions in this process we, no doubt, would be able to calculate the position of an electron, but we would know very little about the velocity of an electron after the collision.
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