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According to Bernoulli's theorem (p)/(d...

According to Bernoulli's theorem `(p)/(d) + (v^(2))/(2) + gh` = constant is (`P` is pressure, `d` is density, `h` is height, `v` is velocity and `g` is acceleration due to gravity)

A

`[M^(0) L^(0) T^(0)]`

B

`[M^(0) L T^(0)]`

C

`[M^(0) L^(2) T^(-2)]`

D

`[M^(0) L^(2) T^(-4)]`

Text Solution

Verified by Experts

The correct Answer is:
C
Use principle of homongenity
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Knowledge Check

  • The Bernoulli's equation is given by P+1/2 rho v^(2)+h rho g=k . Where P= pressure, rho = density, v= speed, h=height of the liquid column, g= acceleration due to gravity and k is constant. The dimensional formula for k is same as that for:

    A
    Velocity gradient
    B
    Pressure gradient
    C
    Modulus of elasticity
    D
    Thrust

  • According to Bernoulli's equation (P)/(rho g) + h + (1)/(2) (v^2)/(g) = "constant" The terms A, B and C are generally called respectively.

    A
    Gravitational head, pressure head and velocity head
    B
    Gravity, gravitational head and velocity head
    C
    Pressure head, gravitational head and velocity head
    D
    none of these

  • If P is the pressure and d is the density of gas, then P and d are related as :

    A
    `P alpha 1"/"d`
    B
    `P alpha d`
    C
    `P alpha d^2`
    D
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