Heisenberg''s uncertainty principle of position & momentum, Physics

Q. Heisenberg's uncertainty principle of position & momentum. Describe an experiment to study the uncertainty of position & momentum. 

Heisenberg's Uncertainty Principle : It is impossible to know simultaneously and with exactness both the position and the momentum of the fundamental particles constituting matter. The optimum precision is the knowledge of position and momentum is determined by following equation

If the location of a particle is very precise our knowledge of the momentum of the particle is nil and we have no idea about the momentum of the particle.

Hence it is impossible to know both the exact momentum error in a given direction of a particle at the same time. Heisenberg uncertainty principle can also be stated as it is not possible to make a simultaneous determination of the energy and the time coordinate of a particle with unlimited precision.

Suppose a narrow beam of electron is incident on a slit AB of width and produces a diffraction pattern on the screen. If the first minimum is obtained in the diffraction pattern in a direction from the direction of incidence, then from the diffraction formula

When electrons are incident on the slit, we can't say definitely that which electrons will fall at what place of the slit, i.e. the uncertainty I determining the position of the electrons will be equal to the width of the slit.

Initially the electrons is moving along the x direction, so the momentum in the y direction will be zero. After diffraction at the slit the electron may be diffracted at any angle from. Therefore the y component of momentum of electron can be any value between P sin and -P sin.

 

 

Posted Date: 7/11/2012 3:12:06 AM | Location : United States







Related Discussions:- Heisenberg''s uncertainty principle of position & momentum, Assignment Help, Ask Question on Heisenberg''s uncertainty principle of position & momentum, Get Answer, Expert's Help, Heisenberg''s uncertainty principle of position & momentum Discussions

Write discussion on Heisenberg''s uncertainty principle of position & momentum
Your posts are moderated
Related Questions

Water flows from a large tank through a large pipe that splits into two smaller pipes as shown in Figure. If viscous effects are negligible (no head loss), determine the volume flo

Q. Can a solid as well as liquid together be possible? Answer:- In reality substances can exist in all three states of matter simultaneously if the conditions are right. T

This depends on the arrangement of a beam or column. for a simply supported beam with a point load in the centre of the beam Mmax = WL/4 and will occur at centre span W is the lo

The molar heat capacity of a gas at constant pressure is 18.7 J mol -1 K -1 .    What is the heat capacity of 9.4  moles of this gas at constant volume ?

Explain the Merits of Vacuum Diode over Semiconductor Diode (i)  Vacuum Diodes can withstand high reverse voltages (ii)  Vacuum Diodes can operate at fairly high temperature

YES GRAVITY CAN BAND LIGHT e.g. GRAVITY OF BACK HOLE IS VERY STRONG

A child starts to build a house of cards by laying an 8.5-cm-long playing card with a mass of 0.75 g across two other playing cards: support card A and support card B. If suppor

The current induced in the conductor due change in magnetic field is called eddy current.we study more about this in electro magnetic laws.

Very thin glass sheets are used to form these capacitors. The sheets are interleaved with aluminium foil and fused together to forms a solid block. These capacitors are smaller in