Doubling the amplitude of a wave will double the amount of energy the wave can transfer.
A. True
B. False <---answer (not sure)
The medium determines the speed through which most mechanical waves will travel.
A. True <---answer (not sure)
B. False
both are correct. In the first one, energy is proportional to amplitude squared.
On the second, the inertia and the bulk modulus (elasticity or compressibility) are the items that determine speed in mattter. These are physical properties of the medium.
Thanks
A. True
To determine whether doubling the amplitude of a wave will double the amount of energy the wave can transfer, we can refer to the equation for wave energy. The formula for wave energy is:
E = 1/2 * μ * ω^2 * A^2
Where E is the energy, μ is the linear mass density of the medium, ω is the angular frequency of the wave, and A is the amplitude of the wave.
Examining the equation, we can see that the energy is directly proportional to the square of the amplitude, A^2. Therefore, if we were to double the amplitude of a wave, the energy transfer would increase by a factor of four, not two. So the statement "Doubling the amplitude of a wave will double the amount of energy the wave can transfer" is false.
Moving on to the second question, "The medium determines the speed through which most mechanical waves will travel." To verify this statement, we can consider the properties of mechanical waves. Mechanical waves require a medium to propagate, such as sound waves traveling through air or water waves traveling through water.
The speed of mechanical waves is indeed determined by the properties of the medium through which they travel. For example, sound waves travel faster through solids than through liquids or gases due to the difference in their molecular structures. Therefore, the statement "The medium determines the speed through which most mechanical waves will travel" is true.