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KVPY2020PhysicsUnits and Dimensions

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

Options

  1. A1 , 1 2 , 3 2
  2. B3 2 , - 1 2 , 1
  3. C1 , - 1 2 , 3 2
  4. D- 3 2 , 1 2 , 1

Correct answer

D. - 3 2 , 1 2 , 1

Step-by-step solution

T ' = m a L - a T - 2 a m b L - 3   b   m c T - 2 c T ' = m a + b + c L - a - 3   b   T - 2 a - 2 c a + b + c = 0 - a - 3   b = 0 - 2 a - 2 c = 1 On solving a = - 3 2 ,   b = 1 2 , c = 1

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