Using the principle of homogeneity of dimensions, find which of the following is correct:
i. E = mc
2
ii. T = 2π√
l
g
iii. v = √
P
ρ
where v = velocity of sound, P = pressure and ρ = density of medium.
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Answers
Answered by
71
Answer:
According to given
V=kp
a
ρ
b
{p=pressure,ρ=density}
Applying dimensional formula on both sides
[LT
−1
]=K[ML
−1
T
−2
]
a
[ML
−3
]
b
On comparing dimension of M,L and T
a+b=0−(1)
−a−2b=0−(2)
a=
2
1
−(3)
From equation(3)
a=
2
1
From equation(i) and (ii)
b=
2
−1
Hence,
v=kp
2
1
ρ
−
2
1
v=
ρ
p
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1
Answer:
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