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If the period 'T' of a drop under surfa...

If the period `'T'` of a drop under surface tension `'s'` is given by `T = sqrt(d^(a) r^(b) S^(c))` where `d` is the density , `r` is the radius of the drop. If `a=1,c= -1` then the value of `b` is

Text Solution

Verified by Experts

The correct Answer is:
3
By dimensional analysis
`t = d^(a//2) r^(b//2) S^(c//2)`
Solving dimension wise `b = 3`
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Knowledge Check

  • The period T of a soap bubble under SHM is given by T = P^(a) D^(b) S^(c ) , where P is pressure, D , is density and S is surface tension. Then the values of a,b and c are

    A
    `- (3)/(2), (1)/(2), 1`
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  • The time period of a body undergoing simple harmonic motion is given by T = p^a D^b S^c , where p is the pressure, D is density and S is surface tension. The values of a, b and c respectively are

    A
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    C
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