Question

1 Rutherford Rutherford discovered the nucleus of the atom by firing a particles at gold foil. An a particle has a charge of q+2e and a mass of m6.64 10-27 kg. A gold nucleus has charge of +79e. You may ignore the motion of the gold nucleus in this problem +2e +79e Suppose an a particles is traveling directly toward a gold nucleus. If the speed of the particle is v-19-107 m/s when it is 1 m from the gold nucleus, how close to the gold nucleus will the a particle come before it stops and reverses direction?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

By conservation of energy

1/2mv^2+kq1q2/r=kq1q2/r'

k=9*10^9Nm^2/C^2

Substituting values

m=6.64*10^-27kg

q1=2e

q2=79e

v=1.9*10^7m/s

r=1m

we get r'=303.866*10^-14m

Add a comment
Know the answer?
Add Answer to:
1 Rutherford Rutherford discovered the nucleus of the atom by firing a particles at gold foil....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1 Rutherford Rutherford discovered the nucleus of the atom by firing α particles at gold foil....

    1 Rutherford Rutherford discovered the nucleus of the atom by firing α particles at gold foil. An a particle has a charge of q+2e and a mass of m 6.64 102 kg. A gold nucleus has charge of Q = +79e. You may ignore the motion of the gold nucleus in this problem +2e +79e Suppose an a particles is traveling directly toward a gold nucleus. If the speed of the a particle is 1.9-107 m/s when it is 1...

  • In 1911, Ernest Rutherford discovered the nucleus of the atom by observing the scattering of helium...

    In 1911, Ernest Rutherford discovered the nucleus of the atom by observing the scattering of helium nuclei from gold nuclei. If a helium nucleus with a mass of 6.68 10-27 kg, a charge of +2e, and an initial velocity of 1.18 107 m/s is projected head-on toward a gold nucleus with a charge of +79e, how close will the helium atom come to the gold nucleus before it stops and turns around? (Assume the gold nucleus is held in place...

  • In the Rutherford Gold Foil experiment, alpha particles (with a charge of 2e and a mass...

    In the Rutherford Gold Foil experiment, alpha particles (with a charge of 2e and a mass of 6.645×10-27 kg) were shot directly at a thin sheet of gold with a speed of 1.017×107 m/s from very far away. They found that most of the time the alpha particles traveled straight through the thin sheet, but sometimes they would bounce directly back. The alpha particle would only bounce back when its path was aimed directly at a gold nucleus (otherwise it...

  • In 1910 Rutherford performed a classic experiment in which he directed a beam of alpha particles...

    In 1910 Rutherford performed a classic experiment in which he directed a beam of alpha particles at a thin gold foil. He unexpectedly observed a few of the particles scattered almost directly backward. This result was not consistent with then current models of atomic structure and led Rutherford to propose the existence of a very dense concentration of positive charge at the center of an atom—the atomic nucleus. The alpha particle has a charge of +2e and the gold nucleus...

  • 4. + ㅢ1 points My Notes Ask Your Teacher In 1910 Rutherford performed a classic experiment...

    4. + ㅢ1 points My Notes Ask Your Teacher In 1910 Rutherford performed a classic experiment in which he directed a beam of alpha particles at a thin gold foil. He unexpectedly observed a few of the particles scattered almost directly backward. This result was not consistent with then current models of atomic structure and led Rutherford to propose the existence of a very dense concentration of positive charge at the center of an atom-the atomic nucleus. The alpha particle...

  • In Rutherford's scattering experiments, alpha particles (charge = +2e) were fired at a gold foil. Consider...

    In Rutherford's scattering experiments, alpha particles (charge = +2e) were fired at a gold foil. Consider an alpha particle with an initial kinetic energy K heading directly for the nucleus of a gold atom (charge =+79e). The alpha particle will come to rest when all its initial kinetic energy has been converted to electrical potential energy. Find the distance of closest approach between the alpha particle and the gold nucleus for the case K = 3.5 MeV

  • In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they...

    In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very...

  • In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they...

    In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge ÷2e and mass 6.64 × 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is In a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially...

  • In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha particles...

    In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha particles (having charges of +2e and masses of 6.64 x 10-27 kg) were fired toward a gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 2.74 x 107 m/s directly toward the nucleus, as in the figure below. How close does the alpha particle get to the gold nucleus before turning around? Assume the gold nucleus...

  • In the Rutherford Gold Foil experiment, alpha particles (with a charge of 2e and a mass...

    In the Rutherford Gold Foil experiment, alpha particles (with a charge of 2e and a mass of 6.645x1027 kg) were shot directly at a thin sheet of gold with ht t but of the time t sometimes they would bounce directly back. The alpha particle would only bounce back when its path was aimed directly at a gold nucleus (otherwise it would pass through the empty space between nucle atom (rather than spread out even through the atom What is...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT