Advertisements
Advertisements
प्रश्न
Solve the numerical example.
The diameter of a sphere is 2.14 cm. Calculate the volume of the sphere to the correct number of significant figures.
Advertisements
उत्तर
Volume of sphere =`4/3 pi"r"^3`
`= 4/3 xx 3.142 xx (2.14/2)^3` ...`(because "r" = "d"/2)`
`= 4/3 xx 3.142 xx (1.07)^3`
= 1.333 × 3.142 × (1.07)3
= {antilog [log (1.333) + log(3.142) + 3 log(1.07)]}
= {antilog [0.1249 + 0.4972 + 3 (0.0294)]}
= {antilog [0.1249 + 0.4972 + 3 (0.0294)]}
= {antilog [0.6221 + 0.0882]}
= {antilog [0.7103]}
= 5.133cm3
In multiplication or division, the final result should retain as many significant figures as there are in the original number with the least significant figures.
∴ Volume in correct significant figures = 5.13 cm3
APPEARS IN
संबंधित प्रश्न
How many significant figures are present in the 0.0025?
How many significant figures are present in the 5005?
How many significant figures are present in the 500.0?
How many significant figures are present in the 2.0034?
Round up the following upto three significant figures:
0.04597
Round up the following upto three significant figures:
2808
How many significant figures should be present in the answer of the following calculation?
0.0125 + 0.7864 + 0.0215
A student measures the thickness of a human hair by looking at it through a microscope of magnification 100. He makes 20 observations and finds that the average width of the hair in the field of view of the microscope is 3.5 mm. What is the estimate on the thickness of hair?
You are given a thread and a metre scale. How will you estimate the diameter of the thread?
The photograph of a house occupies an area of 1.75 cm2on a 35 mm slide. The slide is projected on to a screen, and the area of the house on the screen is 1.55 m2. What is the linear magnification of the projector-screen arrangement?
State the number of significant figures in the following:
0.2370 g cm–3
State the number of significant figures in the following:
6.320 J
State the number of significant figures in the following:
6.032 N m–2
Just as precise measurements are necessary in science, it is equally important to be able to make rough estimates of quantities using rudimentary ideas and common observations. Think of ways by which you can estimate the following (where an estimate is difficult to obtain, try to get an upper bound on the quantity):-
the wind speed during a storm
Describe what is meant by significant figures.
Solve the numerical example.
Nuclear radius R has a dependence on the mass number (A) as R =1.3 × 10-16 A1/3 m. For a nucleus of mass number A = 125, obtain the order of magnitude of R expressed in the meter.
Which of the following has the highest number of significant figures?
Write the rules for determining significant figures.
Assertion (A): Significant figures for 0.200 is 3 where as for 200 it is 1.
Reason (R): Zero at the end or right of a number are significant provided they are not on the right side of the decimal point.
Taking into account of the significant figures, what is the value of 9.99 m – 0.0099 m?
The mass and volume of a body are 4.237 g and 2.5 cm3, respectively. The density of the material of the body in correct significant figures is ______.
The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give ______.
The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is ______.
Why do we have different units for the same physical quantity?
Which of the following measurements has exactly two significant figures?
The radius of Earth is written as 0.64 × 10⁷ m in scientific notation. What is its order of magnitude?
The arithmetic mean of three measurements, 15.4 cm, 15.4 cm, and 15.5 cm, is 15.43 cm. How many significant figures does this result have?
How many significant figures are there in the number 0.001405?
