Given below are two statements :
Statement (I): It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.
Statement (II) : If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is $\geq \sqrt{\frac{h}{π}} \times \frac{1}{2 m}$ .
In the light of the above statements, choose the correct answer from the options given below :

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Both Statement I and Statement II are true.

Both Statement I and Statement II are false.

Statement I is true but Statement II is false.

Statement I is false but Statement II is true.

answer is B.

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Detailed Solution

It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.
If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is $\geq \sqrt{\frac{h}{π}} \times \frac{1}{2 m}$ .

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