Question

order the waves from shortest wavelength (1) to longest wavelength (4). gamma rays: microwaves: radio: visible light:

Explanation:

Step1: Analyze the given wavelengths

Gamma rays have a wavelength of \(10^{-12}\) meters, microwaves have \(10^{-2}\) meters, radio waves have \(10^{2}\) meters, and visible light has \(0.5\times10^{-6}\) meters.

Step2: Compare the exponents of 10

For gamma rays: exponent of 10 is \(- 12\). For microwaves: exponent of 10 is \(-2\). For radio waves: exponent of 10 is \(2\). For visible light: \(0.5\times10^{-6}=5\times10^{-7}\), exponent of 10 is \(-7\).

Step3: Order based on exponents

Since \(-12<-7 < - 2<2\), the order from shortest to longest wavelength is gamma rays (\(1\)), visible light (\(2\)), microwaves (\(3\)), radio waves (\(4\)).

Answer:

Gamma rays: \(1\)
Microwaves: \(3\)
Radio: \(4\)
Visible light: \(2\)