Home > Chemistry > Calculations with wavelength and frequency

What is the energy of a microwave with a wavelength 1.20 cm?

Answer 1

Wyatt Atkins

The energy is approximately #1.6575*10^-23J#

One can compute the electro magnetic wave energy using the following formula:

#E=h*f#, where :

#h# is the Planck's Constant #h~~6.63*10^(-34) [J/s]#

#f# is the wave's frequency

Since we know the wavelength, we must first determine the frequency:

#lambda=1.2cm=0.012m=1.2*10^-2m#

#f=c/lambda#, where #c# is the speed of light, so:

#f=(3*10^8)/(1.2*10^-2)#

#f=2.5*10^10Hz#

#E=h*f#

#E=6.63*10^(-34)*2.5*10^10#

#E=16.575*10^-24#

#E=1.6575*10^-23[J*s*1/s=J]#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Serenity Allen

At 1.20 cm wavelength, the energy of a microwave is roughly 2.5 × 10^-4 electron volts (eV) or 1.24 × 10^-4 joules (J).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.