Home
Class 11
CHEMISTRY
A microscope using suitable photons ...

A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 A .what is the uncertainty involved in the measurement of its velocity .

Text Solution

Verified by Experts

According to uncertainty principle
`Delta x = Delta p = (h )/( 4pi)`
`Delta x m Delta v = (h)/(4pi)`
`Delta v = (h )/( (4pi ) (Delta x) (m ))`
where `Delta x = 0.1A`
`0.1 xx 10^(10) m`
`h=6.626 xx 10^(34) Js`
`m_(e ) = 9.11 xx 10^(31) kg`
`pi = 3.14` `=0.5797 xx 10^(7) J sm^(-1) kg^(-1) J = kg m^(2) s^(2)`
`=5.797 xx 10^(6) ms^(1) = 5797 nms^(1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    KUMAR PRAKASHAN|Exercise Section -A (Try Your Self -1)|4 Videos

  • STRUCTURE OF ATOM

    KUMAR PRAKASHAN|Exercise Section -A (Try Your Self -2)|5 Videos

  • STATES OF MATTER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER FROM MODULE (SECTION - A)|4 Videos

  • THE P-BLOCK ELEMENTS

    KUMAR PRAKASHAN|Exercise SECTION-D NCERT EXEMPLAR SOLUTION (MCQs) LONG ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

If velocity of an electron in 1st orbit of H atoms is V , what will be the velocity in 3rd orbit of Li^(2+) ?

A proton is accelerated to one tenth of the velocity of light. If its velocity can be measured with a precision -pm1% . What must be its uncertainty in position?

Knowledge Check

  • For an electron v= 300 ms^(-1) and certainty in velocity is 0.001 % what is the uncertainty in position

    A
    `5.76xx 10^(2) m`
    B
    `1.92 xx 10^(2) m`
    C
    `3.84 xx 1^(2) m`
    D
    `19.2 xx 10^(-2) m`

  • Uncertainty in position of a particle is 0.1587xx10^(-10) m what will be uncertainty in its momentum in kg ms^(-1) ?

    A
    `4xx10^(-23)`
    B
    `6.6xx10^(-28)`
    C
    `3.1xx10^(-24)`
    D
    `6.6xx10^(-24)`

  • In an atom an electron is moving with a speed of 600 ms^(-1) with an accuracy of 0.005 % certain ty w ith w hich the p osition of the electron can be located is....

    A
    `5.10 xx 10^(-3)` m
    B
    `3.84 x 10^(-3)` m
    C
    `1.92 xx 10^(-3)` m
    D
    `1.52 xx 10^(-4)` m

    • Similar Questions

    Explore conceptually related problems

    If uncertainity in position of electron is 0.33 "pm" . What will be uncertanity in its velocity ?

    If the wavelength and distance travel by electron in 1 sec . Is same than calculate the its velocity .

    A point source is emitting 0.2 W of ultravio- let radiation at a wavelength of lambda = 2537 Å . This source is placed at a distance of 1.0 m from the cathode of a photoelectric cell. The cathode is made of potassium (Work function = 2.22 eV ) and has a surface area of 4 cm^(2) . (a) According to classical theory, what time of exposure to the radiation shall be required for a potassium atom to accumulate sufficient energy to eject a photoelectron. Assume that radius of each potassium atom is 2 Å and it absorbs all energy incident on it. (b) Photon flux is defined as number of light photons reaching the cathode in unit time. Calculate the photon flux. (c) Photo efficiency is defined as probability of a photon being successful in knocking out an electron from the metal surface. Calculate the saturation photocurrent in the cell assuming a photo efficiency of 0.1. (d) Find the cut – off potential difference for the cell.

    If the position of the electron is measured within an accuracy of + 0.002 nm calculate the uncertainty in the momentum of the electron Suppose the momentum of the electron is h// 4pi _(m) xx 0.05 nm is there any problem in defining this value ?

    What is the average distance between atoms (interatomic distance) in water? Use the data given in Examples 13.1 and 13.2.

    Home
    Profile