How many times more intense is a 60 dB sound than a 30 dB sound? (a) 2 (b) 4 (c) 1000 (d) 10000

Answer: (c). L₂ - L₁ = 10log ₁₀(I₂)/(I₁) 60 - 30 = 30 = 10log ₁₀(I₂)/(I₁) ⇒ (I₂)/(I₁) = 10³ So the answer is (c) 1000.

How many times more intense is a 60 dB sound than a 30 dB sound? | MHT CET 2024 (16 May, Shift 1)

Q17MHT CET 2024 · 16 MAY · SHIFT 1Easy

Wave Basics & Properties of Sound

How many times more intense is a 60 dB sound than a 30 dB sound?

Show answer and solution

Answer: (c)

$L_2 - L_1 = 10\log_{10}\frac{I_2}{I_1}$
$60 - 30 = 30 = 10\log_{10}\frac{I_2}{I_1} \Rightarrow \frac{I_2}{I_1} = 10^{3}$
So the answer is (c) 1000.

A point source is emitting sound waves of intensity 16 × 10⁻⁸ Wm⁻² at the origin. The…JEE Main 2024 (30 Jan, Shift 2)
A musical instrument X produces sound waves of frequency n and amplitude A. Another…MHT CET 2024 (10 May, Shift 1)
A musical instrument ' P ' produces sound waves of frequency ' n ' and amplitude ' A '…MHT CET 2024 (9 May, Shift 2)
A sound of frequency 480 Hz is emitted from the stringed instrument. The velocity of…MHT CET 2023 (11 May, Shift 2)
A rectangular block of mass ' m ' and crosssectional area A, floats on a liquid of…MHT CET 2023 (11 May, Shift 2)
If a wave gets refracted into a denser medium, then which of the following is true?JEE Main 2022 (27 Jun, Shift 2)
Which one of the following statements is true?MHT CET 2021 (20 Sep, Shift 2)
Two tuning forks of frequencies 320 Hz and 480 Hz are sounded together to produce sound…MHT CET 2021 (24 Sep, Shift 1)