A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
For the same kinetic energy, the momentum shall be maximum for which one of these:
1. Electron
2. Alpha particles
3. Neutron
4. Deuteron
5. Proton
6. Gamma particles
 2 years ago
For the same kinetic energy, the momentum shall be maximum for which one of these: 1. Electron 2. Alpha particles 3. Neutron 4. Deuteron 5. Proton 6. Gamma particles

This Question is Open

MyLifeIsChemical
 2 years ago
Best ResponseYou've already chosen the best response.1Alpha Particles, as p=m*v and the mass of an alpha particle is greater than the other options

Diwakar
 2 years ago
Best ResponseYou've already chosen the best response.1K=mv^2/2 this can be written as : K=m^2*v^2/2m which can be written in terms of momentum as: K=p^2/2m Rearranging the terms : p=sqrt(2Km) For given K, the larger the mass of the particle the greater will be its p Hence "alpha particle" will have greater momentum. NOTE: However the converse is not true For given momentum the lighter particle will have greater Kinetic energy as can be seen from the formula: K=p^2/2m This is contrary to what one may expect.

agent0smith
 2 years ago
Best ResponseYou've already chosen the best response.2Kinetic energy is given by \[KE = \frac{ 1 }{ 2 } m v^2\] rearrange to to find v, since KE is the same for all:\[v = \sqrt{\frac{ 2 \times KE }{m}}\]and insert this into the formula for momentum, p = mv \[\rho = m v = m \sqrt{\frac{ 2 \times KE }{m}}\] and square the m and bring it under the square root sign, cancel off an m, to get: \[\rho = \sqrt{2 \times KE \times m}\] Since 2*KE is the same for all the particles, momentum is proportional to the square root of mass  the larger the mass of the particle, the higher the momentum.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.