Question

Given the following: Velocity of an electron is 2.2 X 106 m/s Mass of electron is...

  1. Given the following:
  1. Velocity of an electron is 2.2 X 106 m/s
  2. Mass of electron is 9.11 X 10-31 kg
  3. We know the position of the electron within 10%

What must the diameter of our electron orbital be? Show your work.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

By Heisenberg's uncertainty principle we have

are the uncertainty in position and momentum respectively and is the reduced Planck's constant

Given that,

Hence, uncertainty in momentum is given as

Hence, using uncertainty principle we have,

This is the radius of the orbital.

So, diameter o the electron orbital is

This is the diameter of the electron orbital.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An electron has an initial velocity of 2.2×106 m/s in the +x direction. It enters a...
An electron has an initial velocity of 2.2×106 m/s in the +x direction. It enters a uniform electric field E = 382 N/C which is in the +y direction. What is the ratio of the y-component of the velocity of the electron to the x-component of the velocity after traveling 9 cm in the +x direction in the field? (Your result must include 2 digit after the decimal point and maximum of 5% of error is accepted in your answer....
a) An electron has a velocity of 7.0 x 106 m/s in the positive x direction...
a) An electron has a velocity of 7.0 x 106 m/s in the positive x direction at a point where the magnetic field has the components Bx = 3.0 T, By = 2.5 T, and Bz = 2.0 T. What is the magnitude of the acceleration of the electron at this point (in 1018 m/s2)? (me = 9.11 x 10-31 kg, e = 1.6 x 10-19 C) b) A particle (q = 5.0 nC, m = 3.0 μg) moves in...
An electron has an initial velocity of 2×106 m/s in the +x direction. It enters a...
An electron has an initial velocity of 2×106 m/s in the +x direction. It enters a uniform electric field E = 388 N/C which is in the +y direction. By how much, and in what direction, is the electron deflected after traveling 11 cm in the +x direction in the field? (Express the direction of deflexion by using positive and negative signs. Your result must be in cm's and include 1 digit after the decimal point. Maximum of 5% of...
A.) An electron is to be accelerated from a velocity of 3.00×106 m/s to a velocity...
A.) An electron is to be accelerated from a velocity of 3.00×106 m/s to a velocity of 8.50×106 m/s . Through what potential difference must the electron pass to accomplish this? V(initial)-V(final) = ______ V B.) Through what potential difference must the electron pass if it is to be slowed from 8.50×106 m/s to a halt? V(initial)-V(final) = ______ V
An electron that has a velocity with x component 1.9 × 106 m/s and y component...
An electron that has a velocity with x component 1.9 × 106 m/s and y component 3.4 × 106 m/s moves through a uniform magnetic field with x component 0.033 T and y component -0.15 T. (a) Find the magnitude of the magnetic force on the electron. (b) Repeat your calculation for a proton having the same velocity.
An electron that has a velocity with x component 2.0 × 106 m/s and y component...
An electron that has a velocity with x component 2.0 × 106 m/s and y component 3.9 × 106 m/s moves through a uniform magnetic field with x component 0.035 T and y component -0.21 T. (a) Find the magnitude of the magnetic force on the electron. (b) Repeat your calculation for a proton having the same velocity.
Mass of a Moving Particle The mass m of a particle moving at a velocity v...
Mass of a Moving Particle The mass m of a particle moving at a velocity v is related to its rest mass m0 by the equation m = m0 1 − v2 c2 where c (2.98 ✕ 108 m/s) is the speed of light. Suppose an electron of rest mass 9.11 ✕ 10−31 kg is being accelerated in a particle accelerator. When its velocity is 2.84 ✕ 108 m/s and its acceleration is 2.49 ✕ 105 m/s2, how fast is...
(a) An electron and a 0.0260 kg bullet each have a velocity of magnitude 490 m/s,...
(a) An electron and a 0.0260 kg bullet each have a velocity of magnitude 490 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.) for the electron mmf or the bullet m (b) What If? Within what lower limit could we determine the position of each object along the direction...
An electron and a 0.0360-kg bullet each have a velocity of magnitude 480 m/s, accurate to...
An electron and a 0.0360-kg bullet each have a velocity of magnitude 480 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the direction of the velocity?
An electron and a 0.046 0-kg bullet each have a velocity of magnitude 490 m/s, accurate...
An electron and a 0.046 0-kg bullet each have a velocity of magnitude 490 m/s, accurate to within 0.010 0%. Within what lower limit could we determine the position of each object along the direction of the velocity? for the electron ____________________mm for the bullet _____________________m
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT