71.
In a certain region of space electric field $$E$$ and magnetic field $$B$$ are perpendicular to each other and an electron enters in region perpendicular to the direction of $$B$$ and $$E$$ both and moves undeflected, then velocity of electron is
A
$$\frac{{\left| E \right|}}{{\left| B \right|}}$$
B
$$E \times B$$
C
$$\frac{{\left| B \right|}}{{\left| E \right|}}$$
D
$$E \cdot B$$
Answer :
$$\frac{{\left| E \right|}}{{\left| B \right|}}$$
For electron to pass undeflected, electric force on electron = magnetic force on electron
i.e. $$eB = evB$$
$$\eqalign{
& {\text{or}}\,\,v = \frac{E}{B}\,\, \cr
& {\text{or}}\,\,v = \frac{{\left| E \right|}}{{\left| B \right|}} \cr} $$
72.
All components of the electromagnetic spectrum in vacuum have the same
All components of electromagnetic spectrum travel in vacuum with velocity $$3 \times {10^8}\,m/s.$$
73.
The average electric field of electromagnetic waves in certain region of free space is $$9 \times {10^{ - 4}}N{C^{ - 1}}.$$ Then the average magnetic field in the same region is of the order of
A
$$27 \times {10^{ - 4}}T$$
B
$$3 \times {10^{ - 12}}T$$
C
$$\left( {\frac{1}{3}} \right) \times {10^{ - 12}}T$$
An electromagnetic wave is the wave composed of the oscillations of electric and magnetic fields in mutually perpendicular planes and these oscillations are perpendicular to the direction of propagation of wave.
The direction of propagation of electromagnetic wave is given by poynting vector
$$S = E \times H = \frac{{E \times B}}{{{\mu _0}}}$$
This is parallel to $$E \times B.$$
76.
The waves which are electromagnetic in nature are
$$\vec s = \frac{{{E^2}}}{{C{\mu _0}}} = 26.5\,W{m^{ - 2}}$$
78.
A plane electromagnetic wave is incident on a plane surface of area $$A,$$ normally and is perfectly reflected. If energy $$E$$ strikes the surface in time $$t$$ then force exerted on the surface is ($$c$$ = speed of light)
Incident momentum, $$p = \frac{E}{c}$$
For perfectly reflecting surface with normal incidence
$$\eqalign{
& \Delta p = 2p = \frac{{2E}}{c}; \cr
& F = \frac{{\Delta p}}{{\Delta t}} = \frac{{2E}}{{ct}}; \cr} $$
79.
An electromagnetic wave of frequency $$1 \times {10^{14}}hertz$$ is propagating along $$z$$-axis. The amplitude of electric field is $$4\,V/m.$$ If $${\varepsilon _0} = 8.8 \times {10^{ - 12}}{C^2}/N - {m^2},$$ then average energy density of electric field will be :
The wavelength of infrared region is $$8 \times {10^{ - 5}}cm$$ to $$3 \times {10^{ - 3}}cm.$$ So maximum wavelength of infrared region
$$\eqalign{
& = 8 \times {10^{ - 5}}cm \cr
& \approx {10^{ - 4}}cm. \cr} $$