# Problem: Which of the following statements are true according to Heisenberg's uncertainty principle? 1)There is a limit to the accuracy of certain measurements. This limit restricts how well measuring instruments can be constructed. 2)The unavoidable interaction between the thing to be observed and the observing instrument accounts for some of the limits on the accuracy of measurements. 3)The wave-particle duality accounts for some of the limits on accuracy of measurements. 4)There is a limit to the accuracy of certain measurements. This limit is a restriction inherent in nature. 5)The position and momentum of an object cannot both be precisely given at the same time.

###### FREE Expert Solution

Heisenberg’s uncertainty principle is stated as

$\overline{){\mathbf{∆}}{\mathbf{x}}{\mathbf{·}}{\mathbf{∆}}{\mathbf{p}}{\mathbf{\ge }}\frac{\mathbf{h}}{\mathbf{2}\mathbf{\pi }}}$

The above statement implies that is the position and momentum are of a subatomic particle are determined simultaneously, the uncertainty in the measurements is greater or equal to h/4π.

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###### Problem Details

Which of the following statements are true according to Heisenberg's uncertainty principle?

1)There is a limit to the accuracy of certain measurements. This limit restricts how well measuring instruments can be constructed.

2)The unavoidable interaction between the thing to be observed and the observing instrument accounts for some of the limits on the accuracy of measurements.

3)The wave-particle duality accounts for some of the limits on accuracy of measurements.

4)There is a limit to the accuracy of certain measurements. This limit is a restriction inherent in nature.

5)The position and momentum of an object cannot both be precisely given at the same time.