Question

The magnetic field of an electromagnetic wave is given by
BY=3x10 Sin (10 X+6 28 x 10 t). The wavelength of the
electromagnetic wave is.
(a) 6.28 cm
(b) 3.14 cm
(c) 0.63 cm
(d) 0.32 cm
​

Answer 1

$\huge\mathbb{QUESTION-}$

The magnetic field of an electromagnetic wave is given by B=3×10 Sin (10x +6 28 × 10 t). The wavelength of the electromagnetic wave is.

$\huge\mathbb{SOLUTION-}$

$\large\underline{\underline{\sf Given:}}$

• The magnetic field of an electromagnetic wave is given by B=3×10 Sin (10x +6 28 × 10 t).

$\large\underline{\underline{\sf To\:Find:}}$

• Wavelength of magnetic wave $\sf{(\lambda)}$

Electromagnetic wave equation :

$\large{\sf \red{B=Asin(kx+\omega t)} }$

On comparing given equation with this Equation :

❍ A = 3 × 10

❍ k = 10

We know that :-

$\large{\boxed{\sf Wave\: number (k) = \dfrac{2π}{\lambda}}}$

$\implies{\sf \lambda =\dfrac{2π}{k}}$

$\implies{\sf \dfrac{2×3.14}{10} }$

$\implies{\sf \dfrac{6.28}{10} }$

$\implies{\sf 0.628\:m}$

$\implies{\bf \red{62.8\:cm} }$

$\huge\mathbb{ANSWER-}$

Wavelength of electromagnetic wave is ${\bf \red{62.8\:cm}}$

Answer 2

$\huge{\bold{\red{\star{\pink{Heya!}}}}}$

Option[A] 6.28 cm is the answer ✔️