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    51.

    According to Maxwell’s equation the velocity of light in any medium is expressed as

    A

    1μ0ε0\frac{1}{{\sqrt {{{\rm{\mu }}_0}{{\rm{\varepsilon }}_0}} }}

    B

    1με\frac{1}{{\sqrt {{\rm{\mu \varepsilon }}} }}

    C

    μ/ε\sqrt {{\rm{\mu }}/{\rm{\varepsilon }}}

    D

    μ0ε\sqrt {\frac{{{{\rm{\mu }}_0}}}{{\rm{\varepsilon }}}}

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    52.

    If μ0{\mu _0} is permeability of free space and ε0{\varepsilon _0} is permittivity of free space, the speed of light in vacuum is given by

    A

    μ0ε0\sqrt {{\mu _0}{\varepsilon _0}}

    B

    μ0ε0\sqrt {\frac{{{\mu _0}}}{{{\varepsilon _0}}}}

    C

    1μ0ε0\sqrt {\frac{1}{{{\mu _0}{\varepsilon _0}}}}

    D

    ε0μ0\sqrt {\frac{{{\varepsilon _0}}}{{{\mu _0}}}}

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    53.

    If μ0{\mu _0} is permeability of free space and ε0{\varepsilon _0} is permittivity of free space, the speed of light in vacuum is given by

    A

    μ0ε0\sqrt {{\mu _0}{\varepsilon _0}}

    B

    μ0ε0\sqrt {\frac{{{\mu _0}}}{{{\varepsilon _0}}}}

    C

    1μ0ε0\sqrt {\frac{1}{{{\mu _0}{\varepsilon _0}}}}

    D

    ε0μ0\sqrt {\frac{{{\varepsilon _0}}}{{{\mu _0}}}}

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    54.

    A plane Electromagnetic Waves travels in free space along xx-axis. At a particular point in space, the electric field along yy-axis is 9.3 Vm1V{m^{ - 1}}. The magnetic induction is

    A

    3.1  imes  108  T3.1\; imes \;{10^{ - 8}}\;T

    B

    3imes  105  T3 imes \;{10^{ - 5}}\;T

    C

    3  imes  106  T3\; imes \;{10^{ - 6}}\;T

    D

    9.3imes  106  T9.3 imes \;{10^{ - 6}}\;T

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    56.

    A plane Electromagnetic Waves travels in free space along xx-axis. At a particular point in space, the electric field along yy-axis is 9.3 Vm1V{m^{ - 1}}. The magnetic induction is

    A

    3.1  imes  108  T3.1\; imes \;{10^{ - 8}}\;T

    B

    3imes  105  T3 imes \;{10^{ - 5}}\;T

    C

    3  imes  106  T3\; imes \;{10^{ - 6}}\;T

    D

    9.3imes  106  T9.3 imes \;{10^{ - 6}}\;T

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    58.

    A plane Electromagnetic Waves travelling along the XX-direction has a wavelength of 3 mm. The variation in the electric field occurs in the YY-direction with an amplitude 66 Vm1V{m^{ - 1}}. The equations for the electric and magnetic fields as a function of xx and tt are respectively

    A

    Ey=33cosπ  imes  1011(t  xc),  Bz=1.1imes  107cosπimes1011(txc){E_y} = 33\cos \pi \; imes \;{10^{11}}\left( {t - \;\frac{x}{c}} \right),\;{B_z} = 1.1 imes \;{10^{ - 7}}\cos \pi imes {10^{11}}\left( {t - \frac{x}{c}} \right)

    B

    Ey=11cos2π  imes1011(t  xc),By=11imes  107cos2πimes1011(txc){E_y} = 11\cos 2\pi \; imes {10^{11}}\left( {t - \;\frac{x}{c}} \right),{B_y} = 11 imes \;{10^{ - 7}}\cos 2\pi imes {10^{11}}\left( {t - \frac{x}{c}} \right)

    C

    Ex=33cosπ  imes  1011(t  xc),Bx=11imes  107cosπimes1011(txc){E_x} = 33\cos \pi \; imes \;{10^{11}}\left( {t - \;\frac{x}{c}} \right),{B_x} = 11 imes \;{10^{ - 7}}\cos \pi imes {10^{11}}\left( {t - \frac{x}{c}} \right)

    D

    Ey=66cos2π  imes  1011(t  xc),Bz=2.2imes  107cos2πimes1011(txc){E_y} = 66\cos 2\pi \; imes \;{10^{11}}\left( {t - \;\frac{x}{c}} \right),{B_z} = 2.2 imes \;{10^{ - 7}}\cos 2\pi imes {10^{11}}\left( {t - \frac{x}{c}} \right)

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