r₁ = distance of the point from the source = 43 km = 43000 m
I₁ = intensity of earthquake wave at distance "r₁" = 2.5 x 10⁶ W/m²
r₂ = distance of the point from the source = 1.5 km = 1500 m
I₂ = intensity of earthquake wave at distance "r₂" = ?
we know that , for a constant power , the intensity of wave is inversely proportional to the distance from the source .
I α 1/r² where I = intensity of wave , r = distance from source
hence we can write
I₁/I₂ = r₂²/r₁²
inserting the values
(2.5 x 10⁶) /I₂ = (1500/43000)²
I₂ = 2.1 x 10⁹ W/m²
The intensity when it passed a point only 1.5 km from the source is mathematically given as
I2 = 2.1 x 109 W/m²
Question Parameter(s):
The intensity of an earthquake wave passing through the earth is measured to be 2.5×106 j/(m2⋅s) at a distance of 43 km from the source
Generally, the equation for the intensity of wave is mathematically given as
I1/I2 = r2^2/r2^2
Therefore
(2.5 x 106) /I2 = (1500/43000)^2
I2 = 2.1 x 109 W/m²
In conclusion
I2 = 2.1 x 109 W/m²
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