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PhysicsHardMCQ2019 · 12 Apr Shift 2

Q14.A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound? [Given reference intensity of sound as 10−12 W/m2 ] (1) 40 cm (2) 20 cm (3) 10 cm (4) 30 cm

What This Question Tests

This question involves calculating the total number of molecules by integrating the given number density over all space, requiring knowledge of spherical coordinates and Gaussian integrals.

Concepts Tested

Number densityIntegrationVolume element

Formulas Used

dN = n(r) dV

dV = 4πr²dr

∫x^a e^(-bx^c) dx

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