Desciption of Force

Q. A potential difference of 500 V is applied across a parallel plate capacitor . The separation between the plates is 2×10^-3 m . The plates of the capacitor are vertical. An electron is projected vertically upwards between the plates with a velocity of 10⁵ m/s and it moves undeflected between the plates. The magnetic field acting perpendicular to the electric field has magnitude of (a)0Wb/m² (b)10^-5 Wb/m² (c)10^-6 Wb/m² (d)none of these

Q. The dimension formula of magnetic field in mass(m), length(l)and time(t) and c coulomb is given as

Q. A charged particle of specific charge $\alpha$ is released from origin at time $t=0$ with velocity $\overrightarrow{v}=v_0(\hat{i}+\hat{j})$ in magnetic field $\overrightarrow{B}=B_0\hat{i}$. The coordinate of the particle at time $t=\frac{\pi }{B_0\alpha }$ will be

Q. An electron is moving along positive x-axis. To get it moving on an anticlockwise circular path in x-y plane, a magnetic filed is applied?

1. Along positive y-axis
2. Along positive z-axis
3. Along negative y-axis
4. Along negative z-axis

Q.

A potential difference of 600 V is applied across the plates of a parallel plate capacitor. The separation between the plates is 3 mm. An electron projected parallel to the plates as shown with a speed of 2×10⁶ m^-1 moves undeflected between the plates. The magnitude and direction of the magnetic field is

1. 0.2 T, into the page

2. 0.2 T, out the page

3. 1 T, into the page

4. 0.1 T, out of the page

Q. An electron flies into a homogeneous magnetic field perpendicular to the lines of force. The velocity of electron is $4\times {10}^{7}m{s}^{-1}$ and induction of field is ${10}^{-3}$T. The tangential and normal accelerations of electron are

1. $7\times {10}^{15}m{s}^{-2},0$
2. $5\times {10}^{15}m{s}^{-2},0$
3. $3\times {10}^{15}m{s}^{-2},0$
4. $0,7\times {10}^{15}m{s}^{-2}$

Q. A hollow conducting sphere of radius $R$ and total charge $q$ rotates about its diametrical axis with constant angular speed $\omega$. The magnitude of magnetic moment of the sphere is :

1. $\frac{1}{5}q{R}^2\omega$
2. $\frac{1}{3}q{R}^2\omega$
3. $\frac{2}{5}q{R}^2\omega$
4. $\frac{2}{3}q{R}^2\omega$