MEDIUM
Earn 100

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

57.89% studentsanswered this correctly

Important Questions on Structure of Atom

MEDIUM
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
If the uncertainties in position and momentum are equal, the uncertainty in the velocity is ________
MEDIUM

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
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
MEDIUM
If uncertainty of position and momentum are equal, then uncertainty of velocity is
MEDIUM
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?
MEDIUM
At temperature T, the average kinetic energy of any particle is 32kT. The de Broglie wavelength follows the order:
HARD
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
EASY

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]

MEDIUM

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
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)
HARD
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
Heisenberg's uncertainty principle is in general significant to
HARD
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
MEDIUM
C60 emerging from a source at a speed (v) has a de Broglie wavelength of 11.0  . The value of v (in m s-1 ) is closest to

[Planck's constant h=6.626×10-34 J s ]
EASY
For a 4p orbital, the number of radial and angular nodes, respectively, are
EASY

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
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
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