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BITSAT2014PhysicsUnits and DimensionsActual

For the equation F = A ^ a v ^ b d ^ c , where F is the force, A is the area, v is the velocity and d is the density, the values of a, b and c are respectively

Options

  1. A1,2,1
  2. B2,1,1
  3. C1,1,2
  4. D0,1,1

Correct answer

A. 1,2,1

Step-by-step solution

[ MLT ⁻² ]= [ L ^ 2 a ] [ L ^ b T ^ - b ] [ M ^ c L ^ -3 c ] = [ M ^ c L ^ 2 a + b -3 c T ^ - b ] Comparing powers of M , L and T , on both sides, we get array l c =1,2 a + b -3 c =1,- b =-2 or b =2 Also, 2 a +2-3(1)=1 2 a =2 or a =1 array This is 1,2,1

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