Home
Class 11
CHEMISTRY
In an atom, an electron is moving with a...

In an atom, an electron is moving with a speed of `600m//s` with an accuracy of `0.005%`. Certainity with which the position of the electron can be located is `(h=6.6xx10^(-34)kgm^(2)s^(-1)`,mass of electron , `e_(m)=9.1xx10^(-31)kg)` :-

A

`1.52 xx 10^(-4)m`

B

`5.10 xx 10^(-3)m`

C

`1.92 xx 10^(-3)m`

D

`3.84 xx 10^(-3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta v = 0.005%` of 600 m/s
`= (600 xx 0.005)/(100) = 0.03 ms^(-1)`
`Delta x. m Delta v = (h)/(4pi)` (Heisenberg's uncertainty principle)
`:. Delta x = (6.6 xx 10^(-34))/(4 xx 3.14 xx 0.03 xx 9.1 xx 10^(-31))`
`= 1.92 xx 10^(-3) cm`
Promotional Banner

Similar Questions

Explore conceptually related problems

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 localized is : ( h = 6.6 xx 10^(-34) kg m^2 s^(-1) , mass of electron (e_m) = 9. 1 xx10^(-31) kg) .

If maximum velocity with which an electron can be emitted is 4xx10^8 cm s^-1 , then find the stopping potential V_o (mass of electron =9xx10^(-31) kg)

An electron moving near an atomic nucleus has a speed of 6xx10^(6) +- 1% m//s . What is the uncertainty in its position?

The correctness of velocity of an electron moving with velocity 50 ms^(-1) is 0.005% . The accuracy with which its position can be measured will be

Calculate the uncertainty in the position (Delta x) of an electron if Delta v is 0.1 % .Take the velocity of electron = 2.2 xx10^(6) ms^(-1) and mass of electron as 9.108 xx 10^(-31)kg

Molar mass of electron is nearly : (N_(A) = 6 xx 10^(23)) , mass of e^(-) = 9.1 xx 10^(-31)Kg

A beam of electrons moving at a speed of 10^(6)m//s along a line produces a current of 1.6xx10^(-6) A. The number of electrons in the 1 metre of the beam is

The kinetic energy of an electron is 4.55×10 ^ (−25) J. Calculate the wavelength, (h= 6.6×10 ^ (−34) Jsec,mass of electron= 9.1×10^ (−31) kg).

An electron is moving in a cyclotron at a speed of 3.2 xx 10^(7) m s^(-1) in a magnetic field of 5 xx 10^(-4) T perpendicular to it. What is the frequency of this electron? (q=1.6xx10^(-19)C, m_(c)=9.1xx10^(-31)kg)

Radiation falls on a target kept within a solenoid with 20 turns per cm, carrying a current 2.5 A. Electrons emitted move in a circle with a maximum radius of 1 cm. Find the wavelength of radiation, given that the work function of the target is 0.5 eV. q =1.6xx10^(-19)C , h = 6.625xx 10^(-34)J-s , mass of electron = 9.1 xx 10^(-31)kg