Question

how much energy in a wavelength of light with a frequency of 5.9x10^13 /sec please try to explain the work also.

Answer 1

Answer:

E = 3.9 x 10⁻²⁰ J

Explanation:

Step 1:

Before you can find the energy of the light, you need to find the wavelength. To find the wavelength, you need to use two equations:

w = c / f

In this formula, "w" is the wavelength (m), "c" is the speed of light (m/s), and "f" is the frequency. "C" is a constant with the value 3.0 x 10⁸ m/s. Since you have been given frequency and the constant, you can plug these values into the equation and solve for wavelength.

w = c / f

w = (3.0 x 10⁸ m/s) / (5.9 x 10¹³ sec⁻¹)

w = 5.1 x 10⁻⁶ m

Step 2:

To find the energy, you need to use the following equation:

E = hc / w

In this formula, "E" is the energy (J), "h" is Planck's constant (J/s), and "c" and "w" are the same as above. "H" is a constant with the value 6.626 x 10⁻³⁴ J/s. Since you found the wavelength and have been given the constants, you can plug them into the equation and find energy.

E = hc / w

E = (6.626 x 10⁻³⁴ J/s)(3.0 x 10⁸ m/s) / (5.1 x 10⁻⁶ m)

E = (1.99 x 10⁻²⁵) / (5.1 x 10⁻⁶ m)

E = 3.9 x 10⁻²⁰ J