Question

If wave produced in microwave oven are the wavelength 12cm then their frequency will be

Answer 1

$\underline{\underline{\Large{\bf Given:-}}}$

$\bull\sf wavelength=\lambda=12cm=1.2\times 10^{-3}m$

$\underline{\underline{\Large{\bf To\:Find:-}}}$

$\bull\sf Frequency=v=?$

$\underline{\underline{\Large{\bf Solution:-}}}$

We know

$\boxed{\sf \lambda=\dfrac{C}{V}\left(\because C=Speed\:of\:light\:in\:vaccum\right)}$

$\\ \sf\longmapsto v=\dfrac{C}{\lambda}$

$\\ \sf\longmapsto v=\dfrac{3\times 10^8ms^{-1}}{1.2\times 10^{-3}m}$

$\\ \sf\longmapsto v=2.5\times 10^{11}s^{-1}$

$\\ \sf\longmapsto v=2.5\times 10^{11}Hz$

$\underline{\sf{\therefore Frequency\:of\:the\:wave\:is\:2.5\times 10^{11}Hz.}}$