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The dimensional formula of a phsical ...

The dimensional formula of a phsical quantity x is `[M^(1)L^(2)T^(-2)]` and that of another quantity y is `[M^(1)L^(1)T^(-1)]` . If a third quantity z is directly proportionla to the square of y and inversely proportional to x then find the dimensional formula of z .

Text Solution

Verified by Experts

(i) `T =2 pi sqrt((l)/(g))`
Multiplying and dividing by `sqrt(m)` (m = mass of the bob) on the right -hand side,
`T=2 pi sqrt((em)/(mg))`
mg= weight of the body
The downward force acting on the bob
What is the net downward force when hte bob is immersed in water ?
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Knowledge Check

  • If the dimensional formula for the physical quantity is [M^(1)L^(2)T^(-2)] then the physical quantity is ______ .

    A
    torque
    B
    impulse
    C
    force
    D
    force per unit area

  • The dimensional formula of physical quantity is [M^(a)L^(b)T^(c)] .Then that physical quantity is

    A
    surface tension if a=1,b=1,c=-2
    B
    force if a=1,b=1,c=2
    C
    angular frequency if a=0,b=0,c=-1
    D
    spring constant if a=1,b=-1,c=-2

  • [M^1 L^2 T^(-2)] is dimensional formula of

    A
    Reynold Number
    B
    instensity of wave
    C
    angular impulse
    D
    torque

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