four identical charged particle each of mass 0.1 kg and charge 2C connect to each other vai massless non conducted rod of length 1 m

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Q) Four identical charged particles each of mass 0.1 kg and charge 2C connected to each other via mass less non-conducting rods of equal length. The whole arrangement is placed in a cylindrical region carrying a uniform magnetic field, suddenly the magnetic field is switched off.

Then choose the correct statement

1. The Angular momentum of the system is 8 Nm/s
2. The Angular momentum of the system is 82Nm/s
3. Angular velocity of the system is 40 rad/s
4. The magnetic field at point O immediately after the magnetic field is switched off is non zero

Answer

Here the statement 1, 2 and 4 are correct and 3 is incorrect, Let us find solve the question and find the value of Angular momentum, Angular velocity and Magnetic field.

For angular velocity(W) :-

I = 4(m*(r^2))

=> I=4*0.1*(1/root2)^2

=> I=0.2

Now, L=I*W

=> W=L/I

=> W= 80/0.2

=>W= 40 rad/s

For Angular Momentum(L):-

L=(B*q*(r^2))/2

=> L=4*8*((1/root2)^2)*(1/2)

=> L=8Nm/s

For Magnetic Field(M):-

M=I*A

=> M=(4*(q^2)*w*pi*(r^2))/(2*pi)

=> M=2*q*w*((1/root2)^2)

=> M=q*W (That is a non zero value)