Test: Units & Measurements (April 4) - JEE MCQ

If L, C and R are the self inductance, capacitance and resistance, respectively, which of the following does not have the dimension of time?

Match List-I with List-II.

Choose the most appropriate answer from the options given below

Given below are two statements: One is labelled as Assertion (A) and other is labelled as Reason (R).

Assertion (A): Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is ρ and radius of the drop is r, then   is dimensionally correct, where K is dimensionless.

Reason (R): Using dimensional analysis, we get R.H.S. having different dimension than that of time period.

In the light of above statements, choose the correct answer from the options given below.

A physical quantity 'y' is represented by the formula  If the percentage errors found in y, m, r, l and g are 18, 1, 0.5, 4 and p respectively, then find the values of x and p.

Match List-I with List-II.

The magnitude of vectors in the given figure are equal. The direction of with x-axis will be:

The vernier constant of vernier callipers is 0.1 mm and it has zero error of (-0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be _____ x 10^-2 cm. (in integers)

If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be:

The radius of a sphere is measured to be (7.50 ± 0.85) cm. Suppose the percentage error in its volume is x. The value of x, to the nearest integer, is _______.

Identify the pair of physical quantities which have different dimensions.

If  then the relative error in Z will be:

A silver wire has mass (0.6  0.006) g, radius (0.5 ± 0.005) mm and length (4 ± 0.04) cm. The maximum percentage error in the measurement of its density will be: