Questions: For the equations shown below, label each variable with the correct units.

Transcript text: For the equations shown below, label each variable with the correct units.

Solution

Solution Steps

Step 1: Analyze the first equation: \(c = \nu \times \lambda\)

\(c\) represents the speed of light, which has units of m/s. \(\nu\) represents frequency, which has units of s⁻¹. \(\lambda\) represents wavelength, which has units of m.

Step 2: Analyze the second equation: \(E = h \times \nu\)

\(E\) represents energy, which has units of J (Joules). \(h\) represents Planck's constant, which has units of J·s. \(\nu\) represents frequency, which has units of s⁻¹.

Step 3: Analyze the third equation: \(E = \frac{h \times c}{\lambda}\)

\(E\) represents energy, which has units of J (Joules). \(h\) represents Planck's constant, which has units of J·s. \(c\) represents the speed of light, which has units of m/s. \(\lambda\) represents wavelength, which has units of m.