Physics Moving Charges and Magnetism

A positively charged particle of specific charge α, accelerated by a potential difference V moves through a uniform transverse magnetic field B. The field occupies a region of width l. The angle θ through which the charged particle deviates from initial direction of its motion is

Kindly consider the following 

A wire carrying a current I along the positive x-axis has length L<!-- [if gte msEquation 12]>L <!--[endif]--><!--[endif]-->. It is kept in a magnetic field $\stackrel{?}{B}=(2\hat{i}+3\hat{j}-4\hat{k})$  T. The magnitude of the magnetic force acting on the wire is:
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A very long conducting wire is bent in a semi-circular shape from A to B as shown in figure. The magnetic field at point P for steady current configuration is given by:

The net magnetic flux through any closed surface is:

A thick current carrying cable of radius ' R' carries current ' I ' uniformly distributed across its cross-section. The variation of magnetic-field B(r) due to the cable with the distance 'r' from the axis of the cable is represented by:
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Match List-I with List-II

Choose the correct answer from the options given below :
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An infinitely long straight conductor carries a current of $5\mathrm{A}$ as shown. An electron is moving with a speed of ${10}^5\mathrm{m}/\mathrm{s}$ parallel to the conductor. The perpendicular distance between the electron and the conductor is $20\mathrm{c}\mathrm{m}$ at an instant. Calculate the magnitude of the force experienced by the electron at that instant.

A very long conducting wire is bent in a semi-circular shape from $\mathrm{A}$ to $\mathrm{B}$ as shown in figure. The magnetic field at point $\mathrm{P}$  for steady current configuration is given by:

A long solenoid of radius 1mm has 100 turns per mm. if 1 A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
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