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Question

(A) According to Heisenberg's uncertainty principle,it is impossible to determine simultaneously the exact position and exact momentum (or velocity) o

Vedclass · Accepted Answer

$\frac{h}{4\pi m \Delta 
u}$

Vedclass · Answer

(A) According to Heisenberg's uncertainty principle,it is impossible to determine simultaneously the exact position and exact momentum (or velocity) of an electron.The mathematical expression is given by $\Delta x \cdot \Delta p_x \geq \frac{h}{4\pi}$.Since momentum $\Delta p_x = m \Delta 
u$,we substitute this into the equation:$\Delta x \cdot m \Delta 
u \geq \frac{h}{4\pi}$.Rearranging for the uncertainty in position $(\Delta x)$:$\Delta x \geq \frac{h}{4\pi m \Delta 
u}$.

For an electron,if the uncertainty in velocity is $\Delta \nu$,the uncertainty in its position $(\Delta x)$ is given by:

Similar Questions

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