1.

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`

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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