CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In a hypothetical system of particles a mass m with charge 3q is moving around a very heavy particle having charge q. Assuming Bohr’s model to be true to this system, the orbital velocity of mass m when it is nearest to heavy particle is


A
3q22ε0h
loader
B
3q24ε0h
loader
C
3q2ε0h
loader
D
4q2ε0h
loader

Solution

The correct option is A 3q22ε0h
As we know that centripetal force is provided by Coulomb's force, so
mv2r=3q34πϵ0r2
mvr=3q24πϵ0v.......(i)
and we know that
nh2π=mvr......(ii)

Using Bohr's (i) and (ii) and putting n=1
h2π=3q24πϵ0v
v=3q22πϵ0h

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image