Question

What is the wavelength of a wave with energy equal to 1.528 x 10-13 J? E=hc/LaTeX: \lambdaλ Energy= Measured in Joules h=Plank's constant, 6.626 x 10-34 J x s c=speed of light, 3.00 x108 m/s LaTeX: \lambdaλ= wavelength in meters Group of answer choices 1.301 x 1029 m 6.918 x 1028m 6.918 x 10-13m 1.301 x 10-12m

Answer 1

Answer:

1.301 × 10⁻¹² m

Explanation:

Step 1: Given and required data

• Energy of the electromagnetic wave (E): 1.528 × 10⁻¹³ J

• Planck's constant (h): 6.626 × 10⁻³⁴ J . s

• Speed of light (c): 3.00 × 10⁸ m/s

Step 2: Calculate the wavelength (λ) of the electromagnetic wave

We can calculate the wavelength of the electromagnetic wave using the Planck-Einstein's relation.

E = h × c / λ

λ = h × c / E

λ = (6.626 × 10⁻³⁴ J . s) × (3.00 × 10⁸ m/s) / 1.528 × 10⁻¹³ J

λ = 1.301 × 10⁻¹² m