Question
Two waves have the same frequency. One has an amplitude of 0.5 billionths of a meter. The other has an amplitude of 1 billionth of a meter. Which wave has higher energy?(1 point)
Responses
They both have equal energy.
They both have equal energy.
The wave with an amplitude of 0.5 billionths of a meter is higher.
The wave with an amplitude of 0.5 billionths of a meter is higher.
Energy cannot be determined without wavelength.
Energy cannot be determined without wavelength.
The wave with an amplitude of 1 billionth of a meter is higher.
Responses
They both have equal energy.
They both have equal energy.
The wave with an amplitude of 0.5 billionths of a meter is higher.
The wave with an amplitude of 0.5 billionths of a meter is higher.
Energy cannot be determined without wavelength.
Energy cannot be determined without wavelength.
The wave with an amplitude of 1 billionth of a meter is higher.
Answers
GPT-4o mini
The wave with an amplitude of 1 billionth of a meter is higher.
In wave mechanics, the energy of a wave is related to the square of its amplitude. Since both waves have the same frequency, the wave with the larger amplitude (1 billionth of a meter) will have more energy than the wave with an amplitude of 0.5 billionths of a meter. Therefore, the correct response is that the wave with an amplitude of 1 billionth of a meter has higher energy.
In wave mechanics, the energy of a wave is related to the square of its amplitude. Since both waves have the same frequency, the wave with the larger amplitude (1 billionth of a meter) will have more energy than the wave with an amplitude of 0.5 billionths of a meter. Therefore, the correct response is that the wave with an amplitude of 1 billionth of a meter has higher energy.