Subjective Test 01

Physical World and Measurements Subjective Test 01
  1. If velocity [V], time [T] and force [F] are chosen as the base quantities, what will be the dimensions of the mass ?
  2. Verify if the equation \(T = 2 \pi \sqrt{L \over g}\) is dimensionally correct.
  3. Find the sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures.
  4. The mass and volume of a body are 4.237 g and 2.5 \(cm^3\), respectively. Find the density of the material of the body in correct significant figures.
  5. Round off the numbers 2.745 and 2.735 to 3 significant figures.
  6. Convert 13 N into dyne where N is SI unit and dyne is CGS unit of force.
  7. Subtract \(234 \times 10^5\) from \(456 \times 10^6\).
  8. Divide \(474 \times 10^{-5}\) by \(375 \times 10^{-6}\).
  9. Find the dimensional formula of the universal constant of gravitation G.
  10. The heat produced in a wire carrying an electric current depends on the current, the resistance and the time. Assuming that the dependence is of the product of powers type, guess an equation between these quantities using dimensional analysis. The dimensional formula of resistance is \(ML^2I^{-2}T^{-3}\) and heat is a form of energy.
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