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Physics-

General

Easy

Question

The magnetic field of an Electromagnetic Wave is given by $B subscript Y end subscript equals 3 blank cross times 10 to the power of negative 7 end exponent s i n blank open parentheses 10 to the power of 3 end exponent x plus 6.29 cross times blank 10 to the power of 12 end exponent t close parentheses.$
The wavelength of theElectromagnetic Wave is

6.28 cm
3.14 cm
0.63 cm
0.32 cm

The correct answer is: 0.63 cm

Given, $B subscript y end subscript blank equals blank 3 blank cross times blank 10 to the power of negative 7 end exponent sin invisible function application left parenthesis 10 to the power of 3 end exponent x plus 6.28 blank cross times blank 10 to the power of 12 end exponent t right parenthesis.$
Comparing with the general equation
$B subscript y end subscript equals B subscript 0 end subscript sin invisible function application left parenthesis k x plus omega t right parenthesis$
we get $k equals 10 to the power of 3 end exponent$
or $fraction numerator 2 pi over denominator lambda end fraction$ = 10³
$rightwards double arrow blank lambda equals fraction numerator 2 pi over denominator 10 to the power of 3 end exponent end fraction$
$equals blank 6.28 blank cross times blank 10 to the power of negative 3 end exponent m$
$equals blank 0.63 blank c m$

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