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Question
The period of a body under SHM i.e. presented by T = PaDbSc ; where P is pressure, D is density and S is surface tension. The value of a, b and c are
The period of a body under SHM i.e. presented by T = PaDbSc ; where P is pressure, D is density and S is surface tension. The value of a, b and c are
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Solution
The correct option is A
By substituting the dimension of each quantity we get T = [ML−1T−2]a[L−3M]b[MT−2]c=Ma+b+cL−a−3bT−2a−2c
∴a+b+c=0, −a−3b=0 and −2a−2c=1
Solving we get, a=−32, b=12 and c=1
By substituting the dimension of each quantity we get T = [ML−1T−2]a[L−3M]b[MT−2]c=Ma+b+cL−a−3bT−2a−2c
∴a+b+c=0, −a−3b=0 and −2a−2c=1
Solving we get, a=−32, b=12 and c=1
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