Significant Figures & Order of Magnitude

Keeping the significant figures in view, the sum of the physical quantities 52.01 m, 153.2 m and 0.123 m is:

Each side of a metallic cube of mass 5.580 kg is measured to the 9.0 cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as $X \times 10^{3}\text{ kg m}^{-3}$ where the value of $X$ is:

For an experimental expression $y = \frac{32.3 \times 1125}{27.4}$, where all the digits are significant. Then to report the value of $y$ we should write

A person measures mass of 3 different particles as $435.42\text{ g}, 226.3\text{ g}$ and 0.125 g. According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.

Match List - I with List - II.

Choose the correct answer from the options given below:

In an expression $a \times 10^{b}$:

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as $4.62\text{ s}, 4.632\text{ s}, 4.6\text{ s}$ and $4.64\text{ s}$. The arithmetic mean of these readings in correct significant figure is:

The area of a rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is

Taking into account of the significant figures, what is the value of $9.99\text{ m} - 0.0099\text{ m}$?

For the four sets of three measured physical quantities as given below. Which of the following options is correct?

(i) A1 = 24.36, B1 = 0.0724, C1 = 256.2

(ii) A2 = 24.44, B2 = 16.082, C2 = 240.2

(iii) A3 = 25.2, B3 = 19.2812, C3 = 236.183

(iv) A4 = 25, B4 = 236.191, C4 = 19.5

The area of a square is 5.29 cm2. The area of 7 such squares taking into account the significant figures is :-

Match List - I (Event) with List - II (order of the time interval for happening of the event) and select

the correct option from the options given below the lists.

The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 $\times$ 10–3 are

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as