For an electron,if the uncertainty in velocity is `Delta v` the uncertainty in its position `(Delta x)` is given by:
a)`(h)/(2)pi m Delta v`
b)`[(2 pi)/(hm Delta v)]` c)`(h)/(4 pi m Delta v)`

if uncertainty in momentum is twice the uncertainty in position of an electron, then uncertainty in velocity of electron is [ħ=l/(2pi)]

The equation. Delta x. Deltap ge h//4 pi shows

A german physicist gae a principle about the uncertainties in simultaneous measurement of position and momentum of small particles. According to that physicist. It is impossible to measure simultaneously the position and momentum of small particle with absolute accuracy or certainty. if an attempt is made to measure any one of these two quantities with higher accuracy, the other becomes less accurate. The produce of the uncertainty in position (Deltax) and uncertainty momentum (Delta p) is always constant and is equal to or greater than h//4pi , where h is Planck's constant i.e. (Deltax ) (Deltap) ge (h)/(4pi) If uncertainty in momentum is twice the uncertainty in position of an electron then uncertainty in velocity is: [bar(h)=(h)/(2pi)]

The mass m of an electron is 9.1 xx 10^(31)kg and the velocity v of an electron in the first Bohr orbit of a hydrogen atom is 2.2 xx 10^(6)ms^(-1) . Assuming that the velocity is known within 10% (Deltav = 0.22 xx 10^(6)ms^(-1)) , calculate the uncertainty in the electron's position in a hydrogen atom. Strategy: According to Heisenberg's principle, the uncertainty in the postion (Deltax) of any moving particle multiplied by the uncertainity of momentum (Deltap_(x)) can never be less than h//4pi . In the given case, Delta v is known and we need to find Deltax .

A german physicist gae a principle about the uncertainties in simultaneous measurement of position and momentum of small particles. According to that physicist. It is impossible to measure simultaneously the position and momentum of small particle with absolute accuracy or certainty. if an attempt is made to measure any one of these two quantities with higher accuracy, the other becomes less accurate. The produce of the uncertainty in position (Deltax) and uncertainty momentum (Delta p) is always constant and is equal to or greater than h//4pi , where h is Planck's constant i.e. (Deltax ) (Deltap) ge (h)/(4pi) If uncertainty in position is twice the uncertainty in momentum, then uncertainty in velocity is