A plate has a length 5 ± 0.1 cm and breadth 2 ± 0.01 cm. Then the area of the plate is

• 10 ± 0.1 cm²

• 10 ± 0.01 cm²

• 10 ± 0.001 cm²

• 10 ± 1 cm²

If M = Mass, L = Length, T = Time and I = Electric current, then the dimensional formula for electrical resistance R is given by

• [R] = [M¹L²T^-3I^-2]

• [R] = [M¹L²T^-3I²]

• [R] = [M¹L²T³I^-2]

• [R] = [M¹L²T³I²]

A body is moving at a speed near 0.3 ms^-1. To measure its speed with an accuracy about 1%, using a sampling distance 3 mm, the measuring clock should have a least count of the order of

• 0.1 s

• 0.01 s

• 0.001 s

• 0.0001 s

The dimensions of $\frac{\mathrm{a}}{\mathrm{b}}$ in the equation $\mathrm{p} = \frac{\mathrm{a} - {\mathrm{t}}^2}{\mathrm{bx}}$where, p is pressure, x is distance and and t is time, are

• [M²LT^-3]

• [MT^-2]

• [LT^-3]

• [ML³T^-1]

The dimensional formula for inductance is

• [ML²T^-2A^-2]

• [ML²TA^-2]

• [ML²T^-1A^-2]

• [ML²T^-2A^-1]

The physical quantity having the same dimensions as Planck's constant h is

• linear momentum

• angular momentum

• Boltzmann constant

• force

SI unit of permittivity is

• C²m²N²

• C²m^-2N^-1

• C²m²N^-1

• C^-1m²N^-2

48.

Out of the following four dimensional quantities, which one qualifies to be called a dimensional constant ?

• Acceleration due to gravity

• Surface tension of water

• Weight of a standard kilogram mass

• The velocity of light in vacuum

The physical quantity having the dimensions [M^-1L^-3T³A²] is

• resistance

• resistivity

• electrical conductivity

• electromotive force

The dimensional formula for impulse is

• [MLT^-1]

• [ML^-1T]

• [M^-1LT^-1]

• [ML^-1T^-1]