1. A wave with high frequency will have a short wavelength and many cycles per second. A wave with low frequency will have a long wavelength and fewer cycles per second.
2. E = hc/λ
h = 6.626 × 10⁻³⁴ J·s
c = 3.00 × 10⁸ m/s
λ = 670 nm = 670 × 10⁻⁹ m = 6.70 × 10⁻⁷ m
E = (6.626 × 10⁻³⁴ J·s × 3.00 × 10⁸ m/s) / (6.70 × 10⁻⁷ m)
E = (1.9878 × 10⁻²⁵ J·m) / (6.70 × 10⁻⁷ m)
E ≈ 2.97 × 10⁻¹⁹ J
3. c = λν
ν = c/λ
c = 3.00 × 10⁸ m/s
λ = 4.10 × 10⁻⁷ m
ν = (3.00 × 10⁸ m/s) / (4.10 × 10⁻⁷ m)
ν ≈ 7.32 × 10¹⁴ Hz
4. c = λν
ν = c/λ
c = 3.00 × 10⁸ m/s
λ = 1.00 × 10⁻¹⁰ m
ν = (3.00 × 10⁸ m/s) / (1.00 × 10⁻¹⁰ m)
ν = 3.00 × 10¹⁸ Hz
5. E = hν
h = 6.626 × 10⁻³⁴ J·s
ν = 2.08 × 10¹⁵ Hz
E = (6.626 × 10⁻³⁴ J·s) × (2.08 × 10¹⁵ Hz)
E ≈ 1.38 × 10⁻¹⁸ J
Parent Tip: Review the logic above to help your child master the concept of wavelength and frequency worksheet.