Werner Heisenberg considered the limits ...

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle.
The equation si `deltax.delta (mv)ge(h)/(4pi)`
The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant.
If the uncertainties in position and momentum are equal, the uncertainty in the velocity is :

`sqrt(h/pi)`

`sqrt(h/(2pi))`

`1/(2m)sqrt(h/pi)`

none of these

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The correct Answer is:

`Deltax Deltap=h/(4pi) rArr Deltap^(2)=h/(4pi) " "rArr m^(2) Deltav^(2)=h/(4pi)rArr Deltav=1/(2m)sqrt(h/pi)`

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Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse is also true. this is summed up in what we now call the Heisenberg uncertainty principal. The equation is Deltax.Delta(mv) ge (h)/(4pi) The uncertainty is the position or in the momentum of a macroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electron is small enough for the uncertainty to be relatively large and significant. If the uncertainties in position and momentum are equal, the uncertainty in the velocity is:

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation si deltax.delta (mv)ge(h)/(4pi) The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant. If the uncertainty in velocity and position is same, then the uncertainty in momentum will be :

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse is also true. this is summed up in what we now call the Heisenberg uncertainty principal. The equation is Deltax.Delta(mv) ge (h)/(4pi) The uncertainty is the position or in the momentum of a macroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electron is small enough for the uncertainty to be relatively large and significant. If the uncertainty in velocity and position is same, then the uncertainty in momentum will be

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation si deltax.delta (mv)ge(h)/(4pi) The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant. What would be the minimum uncetaintty in de-Broglie wavelength of a moving electron accelerated by potential difference of 6 volt and whose uncetainty in position is (7)/(22) nm?

The French physicist Louis de Broglie in 1924 postulated that matter like radiation , should exhibit a dual behaviour. He proposed the following relationship between the wavelength .lambda of a material particle,its linear momentum P and Planck constant h. lambda=(h)/(p)=(h)/(mv) The de Broglie relaion that the wavelength of a particle should decrease as its velocity increases. It also implies that for a given velocity heavier particles should have shorter wavelength than lighter particles.The waves or de Broglie waves. These waves differ from the electromagnetic waves as they: (i) have lower velocities (ii) have no electrical and magnetic fields and (iii) are not emitted by the particle under consideration. The expermental confirmation of the de Broglie relation was obtained when Davission and Germer in 1927, observed. As diffraction is a characteristic property of waves, hence the beam of electrons behave as a wave as proposed by de Broglie. Werner Heisenberg considered the limits of how precisely we can measure properties of an electron or other microscopic particle like electron . He determined that there is a fundamental limit of how closely we can measure both position and momentum. The more accurately we can determine its position. The converse is also true. This is summed up in what we now call the ''Heisenberg uncertainty principle'' : It is impossible to determine simultaneously and precisely both the momentum and position of a particle. The product of uncertainty in the position, Deltax and the uncertainty in the momentum Delta(mv) must be greater than or equal to (h)/(4pi), i.e., Deltax Delta(mv)ge(h)/(4pi) If the uncertainty in velocity and posititon is same then the uncertainty in momentum will be :

The French physicist Louis de Broglie in 1924 postulated that matter like radiation , should exhibit a dual behaviour. He proposed the following relationship between the wavelength .lambda of a material particle,its linear momentum P and Planck constant h. lambda=(h)/(p)=(h)/(mv) The de Broglie relaion that the wavelength of a particle should decrease as its velocity increases. It also implies that for a given velocity heavier particles should have shorter wavelength than lighter particles.The waves or de Broglie waves. These waves differ from the electromagnetic waves as they: (i) have lower velocities (ii) have no electrical and magnetic fields and (iii) are not emitted by the particle under consideration. The expermental confirmation of the de Broglie relation was obtained when Davission and Germer in 1927, observed. As diffraction is a characteristic property of waves, hence the beam of electrons behave as a wave as proposed by de Broglie. Werner Heisenberg considered the limits of how precisely we can measure properties of an electron or other microscopic particle like electron . He determined that there is a fundamental limit of how closely we can measure both position and momentum. The more accurately we can determine its position. The converse is also true. This is summed up in what we now call the ''Heisenberg uncertainty principle'' : It is impossible to determine simultaneously and precisely both the momentum and position of a particle. The product of uncertainty in the position, Deltax and the uncertainty in the momentum Delta(mv) must be greater than or equal to (h)/(4pi), i.e., Deltax Delta(mv)ge(h)/(4pi) The transition so that the de Broglie wavelength of electron becomes 3 times of its initial value in He^(+) ion will be :

The French physicist Louis de Broglie in 1924 postulated that matter like radiation , should exhibit a dual behaviour. He proposed the following relationship between the wavelength .lambda of a material particle,its linear momentum P and Planck constant h. lambda=(h)/(p)=(h)/(mv) The de Broglie relaion that the wavelength of a particle should decrease as its velocity increases. It also implies that for a given velocity heavier particles should have shorter wavelength than lighter particles.The waves or de Broglie waves. These waves differ from the electromagnetic waves as they: (i) have lower velocities (ii) have no electrical and magnetic fields and (iii) are not emitted by the particle under consideration. The expermental confirmation of the de Broglie relation was obtained when Davission and Germer in 1927, observed. As diffraction is a characteristic property of waves, hence the beam of electrons behave as a wave as proposed by de Broglie. Werner Heisenberg considered the limits of how precisely we can measure properties of an electron or other microscopic particle like electron . He determined that there is a fundamental limit of how closely we can measure both position and momentum. The more accurately we can determine its position. The converse is also true. This is summed up in what we now call the ''Heisenberg uncertainty principle'' : It is impossible to determine simultaneously and precisely both the momentum and position of a particle. The product of uncertainty in the position, Deltax and the uncertainty in the momentum Delta(mv) must be greater than or equal to (h)/(4pi), i.e., Deltax Delta(mv)ge(h)/(4pi) The correct order of wavelength of Hydrogen (._(1)H^(1)) Deuterium (._(1)H^(2)) and Tritium (._(1)H^(3)) moving with same kinetic energy is :

The French physicist Louis de Broglie in 1924 postulated that matter , like radiation , should exhibit dual behaviour. He proposed the following relationship between the wavelenght lambda of a material particle , its linear momentum p and planck cosntant h. lambda= (h)/(p)=(h)/(mv) The de Broglie relation implies that the wavelength of a partices should decreases as its velocity increases. It also implies that the for a given velocity heavir particule should have shorter wavelenght than lighter particles. The waves associated with particles in motin are called matter waves or de Broglie waves. These waves differ from the electromagnetic waves as they (i) have lower velocities have no electrical and magnetic fields and are not emitted by the particle under consideration. The experimental confirmation of the de Broglie relation was obtained when Davisson and Germer. in 1927, observed that a beam of electrons is diffracted by a nickel arystal. As diffarceted by a nickel . As diffraction is a characteristic property of waves, hence the beam of electron dehaves as a wave, as proposed by de Broglie. Werner Heisenberg cobnsiderd the imits of how precisely we can measure propoerties of an electron or other microscopic particle like electron. he determined that there is accurately we measure the momentum of a particle, the less accurately we can determine its position . The converse is laso true . The is summed up in what we now call the "Hesienberg uncertainty princple: It isimpossibble to determine simultameously ltbr. and percisely both the momentum ans position of particle . The product of uncertainly in the position, Deltax and the ncertainly in the momentum Delta(mv) mudt be greater than or equal to (h)/(4pi) i.e. etaDeltax Delta(mv)ge(h)/(4pi) If the uncertainty in velocity & postional is same, then the uncertainity in momentum will be

We can measure growth in a plant by using

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