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Find the uncertainty in the position of an electron which is moving with a velocity of 2.99x104 cm·s-1, accurate up to 0.0016%. (Given, me=9.1×10-28 g,h=6.626×10-27erg.s

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Important Questions on Dual Nature of Matter and Radiation

MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
A microscope using appropriate photons is engaged to track an electron in an atom within distance of 0.001 nm. What will be the uncertainty involved in measuring its velocity?
EASY
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle

An accelerated electron has a speed of 5×106 ms-1 with an uncertainty of 0.02%. The uncertainty in finding its location while in motion is x×10-9 m.
The value of x is __________. (Nearest integer)

[Use mass of electron=9.1×10-31 kg,

h=6.63×10-34Js,π=3.14

EASY
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
Both the position and exact velocity of an electron in an atom can not be determined simultaneously and accurately. This is known as
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
Heisenberg's uncertainty principle is in general significant to
EASY
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
The product of uncertainty in the position and uncertainty in the velocity of a particle is 5.79×10-5 m2 s-1. If the uncertainty in the position is 1nm, what is the uncertainty in the measurement of its velocity in ms-1?
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
If it is known that an electron is revolving around the nucleus at a speed of 0.95 km·s-1, with an accuracy of 0.02%, then find its position. Given mass of the electron is 9.1×10-31 kg and h=6.6×10-34 kg·m2·s-1
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
If the uncertainties in position and momentum are equal, the uncertainty in the velocity is ________
HARD
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
The minimum uncertainty in the speed of an electron in one dimensional region of length 2ao
(Where ao= Bohr radius 52.9pm) is____kms-1 (Nearest integer)  (Given : Mass of electron =9.1×10-31 kg, Planck's constant h=6.63×10-34Js)
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
If uncertainity in the measurement of position and momentum of a microscopic object of mass 'm' are equal, then the uncertainity in the measurement of velocity is given by the expression
HARD
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
Using the Heisenberg uncertainty principle, arrange the following particles in the order of increasing lowest energy possible.
(I) An electron in H2 molecule
(II) A hydrogen atom in a H2, molecule
(III) A proton in the carbon nucleus
(IV) A H2 molecule within a nanotube
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
If uncertainty of position and momentum are equal, then uncertainty of velocity is
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainty with which the position of the electron can be located is (h=6.6×10-34 kg m2 s-1, mass of electron,  me=9.1×10-31 kg)
EASY
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
Write Heisenberg's uncertainty principle.
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle

If a cricket ball of weight 0.1 kg has an uncertainty of 0.15 m·s-1 in its velocity, then the uncertainty in the position of the cricket ball is       

MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle

If the uncertainty in velocity and position of a minute particle in space are, 2.4×10-26ms-1 and 10-7m respectively. The mass of the particle in g is___(Nearest integer)

(Given : h=6.626×10-34Js)

MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
If Δx is the uncertainity in position and Δv is the uncertainity in velocity of a particle are equal, the correct expression for uncertainity in momentum for the same particle is
HARD
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
A fast moving particle of mass 6.63×10-28 g can be located with an accuracy of 1 Ao. The uncertainty in its velocity (in ms-1) is about h=6.63×10-34Js
EASY
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle

A ball weighing 10 g is moving with a velocity of 90 m s-1. If the uncertainty in its velocity is 5%, then the uncertainty in its position is _  ×10-33 m. (Rounded off to the nearest integer)

[Given: h=6.63×10-34 Js]

EASY
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
Which among the following is a correct statement based on Heisenberg's uncertainty principle?
1) It is impossible to detemine exact position and exact momentum of an electron simultaneously.
2) It is applicable to even macroscopic objects.
3) It is possible to detemine the exact position and momentum of an electron simultaneously.
4) It is impossible to determine the exact position and momentum of macroscopic object simultaneously.
MEDIUM
Physics>Modern Physics>Dual Nature of Matter and Radiation>Uncertainty Principle
The uncertainty in the position and velocity of particle are 10-10 m and 5.27×10-24 m s-1 ,respectively. Calculate the mass of the particle is h=6.625×10-34 Js