Home
Class 12
CHEMISTRY
Calculate the uncertainty in the positio...

Calculate the uncertainty in the position of an electron if the uncertainty in its velocity is `5.7 xx 10^5 m//sec (h = 6.626 xx 10^(-34) kg m^2 s^(-1)` , mass of the electron `= 9.1 xx 10^(−31) kg` ).

Text Solution

Verified by Experts

Here we are given
`Delta v = 5.7 xx 10^5 ms^(-1)`
`m = 9.1 xx 10^(-31) kg `
`h = 6.626 xx 10^(-34) kg m^2 s^(-1)`
Substituting these values in the equation for uncertainty principle
`Delta x xx (m xx Delta v) = (h)/(4pi)`
we have `Delta x = (h)/(4pi xx m xx Delta v)`
` = (6.626 xx 10^(-34))/(4 xx 22/7 xx 9.1 xx 10^(-31) xx 5.7 xx 10^5)`
` =1.0 xx 10^(-10) m`
Uncertainly in position ` = pm 10^(-10) m`
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE - II

    NCERT BANGLISH|Exercise PROBLEM FOR PRACTICE|14 Videos

  • ATOMIC STRUCTURE - II

    NCERT BANGLISH|Exercise SELF EVALUATION (CHOOSE THE CORRECT ANSWER)|10 Videos

  • ATOMIC STRUCTURE - II

    NCERT BANGLISH|Exercise SELF EVALUATION (ANSWER NOT EXCEEDING 60 WORDS)|4 Videos

  • BIOMOLECULES

    NCERT BANGLISH|Exercise SELF EVALUATION((C) Answer not exceeding sixty words :)|5 Videos

Similar Questions

Explore conceptually related problems

Calculate the uncertainty of velocity of an electron which have an uncertainty in position of 1 Å.

Calculate the uncertainty in the position of an electron if uncertainty in the measurement of it's momentum be 1.0xx10^(-5)kg*m*s^(-1) .

Calculate the uncertainty in velocity of a moving object of mass 25 g, if the uncertainty in- its position be 10^-5.

Calculate the uncertainty ini velocity (m*s^(-1)) of a moving object of mass 25g, if the uncertainty in its position be 10^(-5)m . [h=6.6xx10^(-34)J*s]

The uncertainty in momentum of an electron is 1xx10^(-5) kgms^(-1) . The uncertainty in its position will be (h= 6.62xx10^(-34) Js)

The uncertainity in the momentum of an electron is 10^(-5) kgms^(-1) .Calculate the uncertainity of its position. [h = 6. 62 xx 10^(-34) JS] .

The uncertainity in the position of a moving bullet of mass 10 g is 10^(-5) m.Calculate the uncertainty in its velocity .

Calculate the wavelength associated with an electron (mass 9.1 xx 10^(-31) kg) moving with a velocity of 10^3m sec^(-1) (h=6.626 xx 10^(-34) kg m^2 sec^(-1)) .

In an atom, an electron is moving with a speed at 600 m/s with an accuracy of 0.005% certainty with which the position of the electron can be located is (h=6.6xx10^(-34)kg*m^(2)*s^(-1)," mass of electron, "m_(e)=9.1xx10^(-31)kg) -

What will be the wavelength of oxygen molecule in picometers moving with a velocity of 660 ms^(-1) (h = 6.626 xx 10^(-34) kg m^2 s^(-1)) .