If intensity is 300 and amplitude is 200.when ampitude is increased to 800 what will be intensity?
check out your formula relating amplitude and intensity. Then replace the amplitude with 4 times its value. See how much the intensity has grown.
6 time
To determine the relationship between intensity and amplitude, we need to understand that intensity is directly related to the square of the amplitude. Mathematically, this relationship can be expressed as:
Intensity ∝ Amplitude^2
Given that the initial intensity (I1) is 300 and the initial amplitude (A1) is 200, we can calculate the initial intensity using this formula:
I1 = k * A1^2
To find the constant of proportionality (k), we can rearrange the formula:
k = I1 / A1^2
Substituting the given values:
k = 300 / 200^2 = 300 / 40000 = 0.0075
Now, if we increase the amplitude to 800 (A2), we can calculate the new intensity (I2) using the same formula:
I2 = k * A2^2
Substituting the values:
I2 = 0.0075 * 800^2 = 0.0075 * 640,000 = 4,800
Therefore, when the amplitude is increased to 800, the intensity will be 4,800.