MHT CET · Physics · Waves and Sound
How many times more intense is a 60 dB sound than a 30 dB sound?
- A 2
- B 4
- C 1000
- D 10000
Answer & Solution
Correct Answer
(C) 1000
Step-by-step Solution
Detailed explanation
Loudness of two sounds are given as \(\mathrm{L}_2=60 \mathrm{~dB}\) and \(\mathrm{L}_1=30 \mathrm{~dB}\)
Loudness of sound \(L=10 \log _{10} \frac{\mathrm{I}}{\mathrm{I}_0}\)
\(\begin{array}{ll}
\therefore \quad & L_2-L_1=10 \log _{10} \frac{I_2}{I_1} \\
& 60-30=10 \log _{10} \frac{I_2}{I_1} \\
\therefore \quad & \log _{10} \frac{I_2}{I_1}=3 \\
& \frac{I_2}{I_1}=10^3 \Rightarrow I_2=1000 I_1
\end{array}\)
Loudness of sound \(L=10 \log _{10} \frac{\mathrm{I}}{\mathrm{I}_0}\)
\(\begin{array}{ll}
\therefore \quad & L_2-L_1=10 \log _{10} \frac{I_2}{I_1} \\
& 60-30=10 \log _{10} \frac{I_2}{I_1} \\
\therefore \quad & \log _{10} \frac{I_2}{I_1}=3 \\
& \frac{I_2}{I_1}=10^3 \Rightarrow I_2=1000 I_1
\end{array}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- \(\text { The current in the following circuit is }\)
MHT CET 2021 Easy - A radioactive substance has half-life of 60 minute. During 3 hour, the amount of substance decayed would beMHT CET 2024 Easy
- As shown in the figure, \(S_1\) and \(S_2\) are identical springs with spring constant \(K\) each. The oscillation frequency of the mass ' \(m\) ' is ' \(f\) '. If the spring \(S_2\) is removed, the oscillation frequency will become
MHT CET 2025 Medium - Photoelectric emission takes place from a certain metal at threshold frequency ' \(v\) '. If the radiation of frequency ' \(2 v\) ' is incident on the metal plate, the maximum velocity of the emitted photoelectron will be ( \(\mathrm{m}=\) mass of electron, \(\mathrm{h}\) = Planck's constant)MHT CET 2022 Medium
- Two surfaces \(A\) and \(B\) are enclosing the charges as shown below. The total normal electric induction (T.N.E.I) through the surfaces A and B are respectively.
MHT CET 2024 Easy - Three vectors \(\vec{A}, \vec{B}\) and \(\vec{C}\) are such that \(\vec{A} \cdot \vec{B}=\vec{A} \cdot \vec{C}=0\), then \(\vec{A}\) is parallel to
\(\left[\cos 90^{\circ}=0\right]\)MHT CET 2020 Easy
More PYQs from MHT CET
- A p-n junction photodiode is fabricated from semiconductor with a band gap of \(2.5 \mathrm{eV}\). It can detect a signal of wavelength
[Planck's constant \(=6.6 \times 10^{-34} \mathrm{Js}, \mathrm{c}=3 \times 10^8 \mathrm{~m} / \mathrm{s}, \mathrm{e}\) \(=1.6 \times 10^{-}\)\(\left.{}^{19} \mathrm{C}\right]\)MHT CET 2021 Medium - The equation of the pair of tangents at \((0,1)\) to the circle \(x^{2}+y^{2}-2 x-6 y+6=0\) isMHT CET 2012 Easy
- Disaccharides are formed from two monosaccharides by the process of__________.MHT CET 2020 Easy
- A particle of mass ' \(m\) ' performs uniform circular motion of radius ' \(r\) ' with linear speed ' \(v\) ' under the application of force ' \(F\) '. If ' \(m\) ', ' \(v\) ' and ' \(r\) ' are all increased by \(20 \%\) the necessary change in force required to maintain the particle in uniform circular motion, isMHT CET 2024 Medium
- What is the \(\mathrm{pH}\) of solution containing \(4.62 \times 10^{-4} \mathrm{M} \mathrm{H}^{+}\)ions?MHT CET 2023 Medium
- If \(y^{2}=a x^{2}+b x+c, \quad\) where \(\quad a, b, c\) are constants, then \(y^{3} \frac{d^{2} y}{d x^{2}}\) is equal toMHT CET 2007 Easy