8.Electromagnetic waves
medium

મુક્ત અવકાશમાં ઇવિદ્યુતચુંબકીય તરંગમાં વિદ્યુતક્ષેત્રનું $r.m.s.$ મૂલ્ય $E_{rms} = 6\, V m^{-1}$ છે. ચુંબકીય ક્ષેત્રનું મહત્તમ મૂલ્ય કેટલું થાય?

A

$2.83 \times 10^{-9}\;T$

B

$4.83 \times 10^{-8}\;T$

C

$8.83 \times 10^{-8}\;T$

D

$2.83 \times 10^{-8}\;T$

(NEET-2017)

Solution

$\text { Given: } E_{\mathrm{rms}}=6 \,\mathrm{Vm}^{-1}$

$\frac{E_{\mathrm{rms}}}{B_{\mathrm{rms}}}=c$ or $B_{\mathrm{rms}}=\frac{E_{\mathrm{rms}}}{c}$

$B_{\mathrm{rms}}=\frac{6}{3 \times 10^{8}}=2 \times 10^{-8}\, \mathrm{T}$

since, $B_{\mathrm{rms}}=\frac{B_{0}}{\sqrt{2}}$

where $B_{0}$ is the peak value of magnetic field

$\therefore B_{0} =B_{\mathrm{rms}} \sqrt{2}=2 \times 10^{-8} \times \sqrt{2} T $

$ B_{0}  \approx 2.83 \times 10^{-8}\, \mathrm{T}$

Standard 12
Physics

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