Q64 / 91 · KVPY 2020 (SB/SX) · Physics

The clocktower ("ghantaghar") of Dehradun is famous for the sound of its bell, which can be heard, albeit faintly, upto the outskirts of the city 8 km away. Let the intensity of this faint sound be 30 dB. The clock is situated 80 m high. The intensity at the base of the tower is:-

  • A
    60 dB
  • Correct answer
    B
    70 dB
  • C
    80 dB
  • D
    90 dB

Solution

r2=80 m,   L2=?
r1=8000 m, L1=30 dB
L=10log10II0
Intensity due to a point source, I∝1r2
L2-L1=10log10I2I0-10log10I1I0

L2-L1=10log10I2I1=10log10r12r22
L2-30=10log10104=40
 L2=70 dB

Hence, the correct answer is option: 'B'.

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