Question

Table-Tennis ball has mass 10 g and a speed of 90m/s. If speed can be measured within an accuracy of 4%, what will be the uncertainty in position?
A. 3.6×10-23 m
B. 1.46×10-33 m
C. 2.8×10-30 m
D. 1.00×10-34 m

Answer 1

Answer:

Explanation:

"Heisenberg Uncertainty principle:

It is fundamentally impossible to know precisely both the velocity and the position of a particle at the same time.

\Delta x.\Delta p\quad \ge \quad \frac { h }{ 4\pi  }

\Delta x\quad =\quad Uncertainty\quad of\quad position

\Delta p\quad =\quad Uncertainty\quad of\quad momentum

From the given,

Mass\quad of\quad ball\quad =\quad 4\quad g

Speed\quad =\quad 90\quad m/s

\Delta \upsilon \quad =\quad \frac { 4 }{ 100 } \quad \times \quad 90\quad =\quad 3.6

\Delta x\quad =\quad \frac { h }{ 4\pi m\Delta v }

=\quad \frac { 6.626\quad \times { \quad 10 }^{ -34 } }{ 4\quad \times \quad 3.14\quad \times \quad 10\quad \times \quad { 10 }^{ -3 }\quad \times \quad 3.6 }

\Delta x\quad =\quad 1.46\quad \times \quad { 10 }^{ -33 }\quad m"

Answer 2

Answer:

A. 3.6×10-23m is the correct ans

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Explanation:

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