Home
Class 11
CHEMISTRY
The uncertainty in the position of an el...

The uncertainty in the position of an electron `(mass = 9.1 xx 10^-28 g)` moving with a velocity of `3.0 xx 10^4 cm s^-1` accurate up to `0.001 %` will be
(Use `(h)/(4 pi)` in the uncertainty expression, where `h = 6.626 xx 10^-27 erg - s`)

A

1.92 cm

B

7.68 cm

C

5.76 cm

D

3.84 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`Deltap=9.1xx10^(-28)xx3.0xx10^(4)xx(0.001)/100`
`DeltaP=2.73xx10^(-28)`
Hence `Deltachi=h/(Deltapxx4pi)=(6.626xx10^(-27))/(2.73xx10^(-28)xx4xx3.14)`
`Deltachi=1.92` cm.
Promotional Banner

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Quantum Number, Electronic Configuration and Shape of Orbitals) |95 Videos

  • STRUCTURE OF ATOM

    ERRORLESS|Exercise PAST YEARS QUESTIONS|60 Videos

  • STRUCTURE OF ATOM

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Dual Nature of Electron) |16 Videos

  • STATES OF MATTER

    ERRORLESS|Exercise ASSERTION AND REASON|11 Videos

  • THE P-BLOCK ELEMENTS (BORON AND CARBON FAMILY)

    ERRORLESS|Exercise Assertion & Reason|10 Videos

Similar Questions

Explore conceptually related problems

Uncertainty in the position of an electron mass (9. 1 xx 10^(31) kg) moving with a velocity 300 ms^(-1) accurate uptp 0.001 % will be :

The uncertainty in the position of an electron moving with a velocity of 1 xx 10^4 cm s^-1 (accurate up to 0.011 % ) will be :

The uncertainty in the position of an electron moving with a velocity of 3xx10^(4) cm sec^(-1) accurate up to 0.011 %

Calculate the uncertainty in the position of an electron if the uncertainty in its velocity is 5.77xx10^(5) m s^(-1) .

Calculate the wavelenght associated with a H-atom (mass = 1.676 xx 10^(-27) kg) moving with velocity of 8.0 xx 10^2 cm s^(-1) .

The Uncertainty in the position of an electron (mass=9.1times10^(-31)kg) moving with a velocity (663)/(314times91)ms^(-1) ,accurate upto 0.001% is X times10^(3)m , then what is the value of X ?,[( h=6.63times10^(-34)Js) ], (pi=3.14)

Uncertainty in position of a 0.25 g particle is 10^-5 . Uncertainty of velocity is (h = 6.6 xx 10^-34 J s) .