JIPMER 2018
- Exam
- JIPMER
- Year
- 2018
- Subject
- Physics
- Chapter
- Waves and Sound
JIPMER 2018 · Physics · Waves and Sound
How much intense is 80 dB sound in comparision to 40 dB ?
How much intense is 80 dB sound in comparision to 40 dB ?
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
\left(\frac{_1}{_0}\right)\quad \mathrm{B}_2=10 \log _{10}\left(\frac{\mathrm{I}_2}{\mathrm{I}_0}\right)\because\mathrm{B}_1=80 \mathrm{~dB}, \mathrm{~B}_2=40 \mathrm{~dB}
\therefore \quad 80=10 \log _{10}\left(\frac{_1}{_0}\right)\frac{_1}{_0}=10^840=10 \log _{10}\left(\frac{\mathrm{I}_2}{\mathrm{I}_0}\right)
or \quad \frac{\mathrm{I}_2}{\mathrm{I}_0}=10^4
Hence, \frac{\mathrm{I}_1}{\mathrm{I}_2}=10^4