Question

the intensity level of two sounds are 100dB and 50dB, ?hat is the ratio of their intensities?

Answer 1

The intensity level of the sound

$$\beta=10\lg\frac{I}{I_0}$$

Hence

$$\beta_2-\beta_1=10\lg\frac{I_2}{I_1}$$

$$\frac{I_2}{I_1}=10^{(\beta_2-\beta_1)/10}=10^{(100-50)/10}=100000$$