Question

If the threshold for hearing increasing 1000 times, the hearing loss is

• A. 40 decibels
• B. 50 decibels
• C. 60 decibels
• D. None of these

Answer 1

Answer: (D)

None of these

The sound intensity may be expressed in decibels above the standard threshold of hearing. The power of ten of the sound intensity expressed as a multiple of the threshold of hearing intensity. The intensity level of sound having intensity I is defined in term of I${}_0$I0. The threshold intensity of hearing is I${}_{dB}$ = 10 log${}_{10}$ (I/I${}_0$).dB=10log10⁡(II0)

In the given condition, sound intensity is 1000 times the threshold, then the ratio of the intensity to the threshold density is 10${}^3$. The power of ten is 3. So, the intensity will be 30 decibels.

Thus, the correct answer is option D.