The direction of propagation of an e.m. wave is given by `vec Exx vec B`.(True/False)

During the propagation of e.m. wave in a medium

The direction of angular displacement vec delta theta in U.C.M. is given by

If the wave-front of e.m.wave travelling in vacuum is given by , vecr=hati+hatj+hatk , and find the angle made by the direction of propagation of e.m. wave with y-axis.

If vec(E) and vec(B) represent electric and magnetic field vectors of the electromagnetic wave, the direction of propagation of electromagnetic wave is along

Find the unit vector in the direction of the vector vec a + vec b if vec a =vec i +2 vec j + 3 vec k and vec b = 2 vec i + 3 vec j + 5 vec k .

Assertion: EM wave are transwers in nature. Reason: The electric and magnetic fields of an e.m. wave are perpendicular to each other also perpendicular to the direction of wave propagation.

Poynting vector vec P for an EM wave is

A particle having a mass of 10^(-2) kg carries a charge of 5 xx 10^(-8) C . The particle is given an initial horizontal velocity of 10^(5) msec^(-1) in the presence of electric field vec(E) and magnetic field vec(B) . To keep the particle moving in a horizontal direction, it is necessary that A. vec(B) should be perpendicular to the direction of velocity and vec(E) should be along the direction of velocity B. Both vec(B) and vec(E) should be along the direction of velocity C. Both vec(B) and vec(E) are mutually perpendicular and perpendicular to the direction of velocity D. vec(B) should be along the direction of velocity and vec(E) should be perpendicular to the direction of velocity

A particle of mass m and charge q is moving in a region where uniform, constant electric and mangetic fields vec E and vec B are present. vec E and vec B are parallel to each other. At time t=0, the velocity vec v_0 of the particle is perpendicular to vec E (Assume that its speed is always lt lt c , the speed of light in vacuum). Find the velocity vec v of the particle at time t . You must express your answer in terms of t, q, m, the vector vec v_0, vec E and vec B and their magnitudes vec v_0, vec E and vec B .

If vec aa n d vec b are two vectors and angle between them is theta, then | vec axx vec b|^2+( vec adot vec b)^2=| vec a|^2| vec b|^2 | vec axx vec b|=( vec adot vec b),iftheta=pi//4 vec axx vec b=( vec adot vec b) hat n ,(w h e r e hat n is unit vector,) if theta=pi//4 ( vec axx vec b)dot( vec a+ vec b)=0