Home
Class 11
CHEMISTRY
A proton is accelerated to one tenth of ...

A proton is accelerated to one tenth of velocity of light. If the velocity can be measured with a precision of ` +-0.5 %`, what must be the uncertainty in its position ? `( m_(p)=1.675 xx 10^(-27)kg)`.

Text Solution

Verified by Experts

According to uncertainty principle, ` Deltax.mDeltaupsilon=(h)/(4 pi) ""or""or Deltax=(h)/(4pim //Delta upsilon)`
Velocity of proton ` (upsilon)=(1)/(10)xx3xx10^(8)ms^(-1)=3xx10^(7) ms^(-1)`.
`Delta upsilon = 0.5 % xx of 3 xx 10^(7)=0.5 xx 10^(-2)xx3xx10^(7) " " =1.5 xx 10^(5) ms^(-1)`.
`m=1.675 xx 10^(-27) kg, h=6.626 xx 10^(-34) kg m^(2)s^(-1)`.
`Delta x = ((6.626 xx 10^(-34)kgm^(2) s^(-1)))/(4xx3.143 xx (1.675 xx 10^(-27)kg)xx (1.5 xx 10^(5)ms^(-1)))=2.1 xx 10^(13)m`.
Promotional Banner

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    DINESH PUBLICATION|Exercise Board Examinations|67 Videos

  • STRUCTURE OF ATOM

    DINESH PUBLICATION|Exercise Short Answer type Questions|24 Videos

  • STATES OF MATTER : GASES AND LIQUIDS

    DINESH PUBLICATION|Exercise Statement Type Question|5 Videos

  • SURFACE CHEMISTRY

    DINESH PUBLICATION|Exercise Ultimate Prepatarory Package|16 Videos

Similar Questions

Explore conceptually related problems

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?

A portons is accelrated to one -tenth of the velocity of light . If its velocity can be be measured with a precision pm 1% . wavelenght of 1 xx10^(-10) m.

An electron is accelerated to one -tenth the velocity of light suppose its velocity can be measurted with a precision of 1% what must be the uncertain with qa precition of 1 % what must be the uncertainty in position ?

An e^- moving with a velocity of 2xx10^6m//s . If the speed can be measured with an accuracy of 0.02%. Calculaate the uncertainty in its position is 1.45xx10^(-x) . The value of x:

If the electron is to be located within 5 xx 10^(-5) what will be the uncertainty in the velocity ?

Find the rest mass energy of a proton in MeV. [m_(p) = 1.673 xx 10^(-27) kg]

A ball has a mass of "10g" and speed of "20m/s" . If the speed can be measured with the accuracy of 1%, then the uncertainty in its position is