The velocity of sound is________ the density of the medium. Fill in the blank.
directly proportional to
inversely proportional to
inversely proportional to the square root of
directly proportional to the square root of
A
directly proportional to
B
inversely proportional to
C
directly proportional to the square root of
D
inversely proportional to the square root of
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Solution
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The velocity of sound v in a medium is given by Sir Newton's formula ,
v=√K/ρ ,
where , K= elasticity of medium ,
ρ= density of medium ,
from above formula , we have ,
v=√1/ρ ,
so, velocity of sound is inversely proportional to the square root of density of the medium .
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