The electric field associated with an electromagnetic wave is given by If the wave propagating in free space, then the momentum associated with the wave is given by
Two charges +q and q places at the points (b, 0) and (0, b) in plane as shown in figure. If the origin of the coordinates system is shifted to (b, 0), the dipole moment of the given charge distribution with respect new origin will be
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Consider an infinite thin plane 3x  4y + 2z = 6m. callying surface charge density σ. The electric E on the side of the plane containing the origin is
Consider a capacitor consisting of two fixed semicircular plates of radius R separated by a distance d. A semicircular dielectric constant k almost fills up the space between the plates and passing throughthe centre. A constant potential difference V is maintained between the plates. If the slab is now rotated throughan angle θ. then the torque acting on the slab will be
A filter is used to obtain nearly mnochromatic radiation from white light. If the bandwidth of filter is 8 nm and the mean wavelength is 800 nm. The coherence lenath and coherence time of the filtered liciht are respectively
Consider the propagation of EM waves dilute ionised gases such as the ionosphere. If the electron density is
10^{22}/m^{3}. The frequency of the wave that can passing through the gases is ____x 10^{10} Hz (your answer
should be an integer)
In good conductors differ in phase by______ degree, (answer should be an integer)
A certain amount of charge Q is distributed on the circular and semicircular ring of equal radius.. If the electrostatic potential at the centre of the circle and semicircle is V_{1} and V_{2} respectively, then the ratio of V_{1} and V_{2} is ____ (answer should be an integer)
An electric field exists in space. The total charge enclosed in a sphere of unit radius centred at the origin is_______ πε_{0}. (Answer should be an integers)
A thin disk of radius R carrying uniform surface charge density σ is rotating with constant angular velocity ω about its axis (z). Suppose there is a magnetic field The magnitude of the torque acting on the disk is ______ πσωBR^{4} (Upto second decimal places)
A conducting loop in the shape of a right angle isosceles triangle of height 10 cm is kept such that the 90° vertex is very close to an infinitely long conducting wire. The wire is electrically insulated from the loop. The hypotenuse of the triangle is parallel to the wire. The current in the triangular loop is in counterclockwise direction and increased at a constant rate of 10 As^{1}. Which of the following statement is true?
A rectangular loop carrying a current i is situated near a long straight wire such that the wire is parallel to one of the loop and is in the plane of the loop. If steady current I is established in the wire as shown in the figure, the loop will
Suppose a wire of radius a. length l and resistance R is carrying a steady current I with a potential difference V across the length. The poynting vector on the surface of the wire is
The electric field associated with an electromagnetic wave in certain medium is given by The medium must be a
Consider a waveguide of square crosssection having side a. It is to transmit an EM wave of wavelength λ. in TE_{10} mode but not in the TE_{11} or TM_{11} modes. The range of values of a is
Suppose a particle of charge q and mass m enters with a velocity a region and crossed fields, where If the initial velocity of the particle is then particle will follow
Consider a simple magnetic field, which increases exponentially with time where B_{0} and α are constant. The electric field that will be produced due to the given time varing magnetic field is
The Efield associated with an electromagnetic wave in from space is described by
The wave is incident normally on the surface (z = 0) of a perfect conductor and gets reflected. The Efield of the reflected wave tor z < 0 is
A plane polarized electromagnetic wave in free space is incident normally on the surface of a conductor having complex refractive index n = 1 + in_{i}. The phase shift of the electric vector of the reflected wave with respect to that of the incident wave is given by the value of m is _______(answer should be integers)
Consider a waveguide of square crosssection having side a. It is to transmit an EM wave of wavelength λ. in TE_{10} mode but not in the TE_{11} or TM_{11} modes. The range of values of a is The value of n is ___________(answer should be an integer)
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