Which of the following statements are true according to the uncertainty principl

Question

Which of the following statements are true according to the uncertainty principle? More than one statement may be correct. (a) It is impossible to simultaneously determine both the position and the momentum of a particle along the same axis with arbitrary accuracy. (b) it is impossible to simultaneously determine both the energy and momentum of a particle with arbitrary accuracy. (c) It is impossible to determine a particle’s energy with arbitrary accuracy in a finite amount of time. (d) It is impossible to measure the position of particle with arbitrary accuracy in a finite amount of time. (e) It is impossible to simultaneously measure both the energy and position of a particle with arbitrary accuracy.

Explanation / Answer

Solution) It should be only option(a) so only option (a) is correct

According to uncertainty principle

It is impossible to simultaneously determine both position and momentum of a particle along the same axis with arbitrary accuracy .

It is given as

Product ((dx)(dp) is greater than or equal to h

dx - change in position

dp- change in momentum

h- planks constant

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