The period of a body under SHM is represented by T=PaDbSc, where P is pressure, D is density and S is surface tension. The value of a,b and c are
A
a=−32,b=12,c=1
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B
a=12,b=12,c=1
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C
a=2,b=1,c=1
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D
a=1,b=1,c=1
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Solution
The correct option is Aa=−32,b=12,c=1 Given, T=PaDbSc [T]=[P]a[D]b[S]c [T]=[ML−1T−2]a[ML−3]b[MT−2]c [M0L0T]=[M(a+b+c)L(−a−3b)T(−2a−2c)] Equating the powers of dimensions, we have a=−32,b=12,c=1