Physics, asked by mamtanain540, 10 months ago

solve the following with the dimensions method: v=√ P/p.
where v= velocity, P= pressure, p= density of medium ​

Answers

Answered by Anonymous
0

Answer:

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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