The physical quantity of the dimensions of length that can be formed out of c, G and e/4πε0 is [c is the velocity of light, G is the universal constant of gravitation and e is charge]

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The velocity v of a particle at time t is given by  where a, b and c are constants, The dimensions of a, b and c are respectively:

The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm. The volume of the block according to the idea of significant figures should be

• 1 × 10² cm³

• 2 × 10² cm³

• 1.76 × 10² cm³

• None of these

Dimensions of resistance in an electrical circuit, in terms of the dimension of mass M, of length L, of time T and of current I, would be:

• [ML²T^-3I^-1]

• [ML²T^-2]

• [ML²T^-1I^-1]

• [ML²T^-1I^-1]

A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of –0.004 cm, the correct diameter of the ball is

• 0.521 cm

• 0.525 cm

• 0.529 cm

• 0.053