Question #289897

(a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each.

(b) Which frequency would produce smaller hot spots in foods due to interference effects?


1
Expert's answer
2022-01-24T11:26:23-0500

Wavelength

λ1=cν1\lambda_1=\frac{c}{\nu_1}

λ1=3×108900×106=0.33m\lambda_1=\frac{3\times10^8}{900\times10^6}=0.33m

λ2=cν2\lambda_2=\frac{c}{\nu_2}

λ2=3×1082560×106\lambda_2=\frac{3\times10^8}{2560\times10^6}

λ2=0.1171m\lambda_2=0.1171m

(B)

2560 MHz( has the smallest wavelength)

λ=0.1171m\lambda=0.1171m

This is because a small wavelength microwave gives a pattern with which is interference with waves and have a closer hotspot


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