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The uncertainty in the position of an electron `(mass = 9.1 xx 10^-28 g)` moving with a velocity of `3.0 xx 10^4 cm s^-1` accurate up to `0.001 %` will be (Use `(h)/(4 pi)` in the uncertainty expression, where `h = 6.626 xx 10^-27 erg - s`)A. `1.92 cm`B. `7.68 cm`C. `5.76 cm`D. `3.84 cm` |
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Answer» Correct Answer - A (a) `Delta p = m xx Delta v` `Delta p = 9.1 xx 10^-28 xx 3.0 xx 10^4 = (0.001)/(100)` `Delta P = 2.37 xx 10^-24` Hence `Delta x = (h)/(Delta p xx 4 pi)` =`(6.626 xx 10^-27)/(2.73 xx 10^-28 xx 4 xx 3.14)` `Delta x = 1.92 cm`. |
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