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AP EAMCET202316 May 2023Evening ShiftPhysicsUnits and DimensionsActual

If speed of light in vacuum (3 10^8 ~ms ⁻¹ ) , acceleration due to gravity (10 ~ms ⁻² ) and mass of electron (9.1 10⁻³¹ ~kg ) are taken as fundamental physical quantities, then the unit of time in this system is

Options

  1. A3 10^3 ~s
  2. B5 10⁻¹⁹ ~s
  3. C3 10¹⁹ ~s
  4. D3 10^7 ~s

Correct answer

D. 3 10^7 ~s

Step-by-step solution

Speed of light, [ L T ⁻¹ ]=3 10^8 ~m / s ... (1) acceleration due to gravity, [ L T ⁻² ]=10 ~m / s ⁻² ... (2) Divide equation (1) by (2), we have [ L T ⁻¹ ] [ LT ⁻² ] = 3 10^8 10 [ T ]=3 10^7 ~s

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