A system proposed by the U. S. Navy for underwater submarine communication, called ELF (for extremely low frequency, operates with a frequency of 76 Hz. What is the wavelength of this radiation in meters? In miles? (I mile=1.61 km) What is the energy in joules of the frequency?

The speed of an electromagnetic radiation through vacuum is equivalent

to the speed of light.

Reasons:

The given parameter are;

The frequency of operation of the ELF = 76 Hz

First Part:

Required:

The wavelength of the radiation

Solution:

The speed of the electromagnetic radiation, v = f·λ

Where:

c = The speed of the radiation = 299,792,458 m/s

f = The frequency of the radiation = 76 Hz

λ = The wavelength of the radiation

Therefore;

The wavelength of the radiation ≈ 3.945 km

Second part;

Energy, E = h·f

Where;

h = Planck's constant = 6.62607004 × 10⁻³⁴ m²·kg/s

Therefore;

E = 6.62607004 × 10⁻³⁴ m²·kg/s × 76 Hz = 5.0358132 × 10⁻³² J

The energy in joules of the frequency 5.0358132 × 10⁻³² J

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Explanation:

Frequency = 76 Hz

Wavelength =?

The parameters are related by;

FREQUENCY OF OSCILLATION x WAVELENGTH = SPEED OF LIGHT

Wavelength = Speed of light / Frequency

Wavelength = 299,792,458 / 76

Wavelength = 3944637.61m

Wavelength = 3944.63761 km

Wavelength = 2450.09 miles (Upon conversion to miles by division by 1.61)

Energy = ?

E = h · f

where h = planks constant

Energy = 6.626 * 10^-34 * 76

Energy = 503.576 * 10^-34

Energy = 5.03576 * 10^-32 J

a. energy is absorbed in the reaction.

if in a given reaction the energy of products is greater than the energy of reactants it means that reaction is endothermic and during the reaction, the energy is absorbed by reactants. in an endothermic reaction, the products have more stored chemical energy than the reactants. and in this reaction the reactants are more stable than products before the compounds with less energy are always more stable.