Answer: Yes, the significant digits convention was indicative of your uncertainty in the measurements.
Concept:
<u><em>Significant Figures:</em></u> In the measured value of a physical quantity, the number of digits about the correctness of which we are sure plus the next doubtful digit, are called Significant Figures.
There are certain values of physical quantities which are defined; like irrational numbers ∛2, √3, the speed of light ( 299792458... m/s), converted value of centimeter in to inches (2.54...), the refractive index of the glass with respect to the water ( 1.333....) etc. These values are defined but they have no limit of significant figures because we can consider the measurement up to any extent which differ from the measurement to the measurement.
Hence, the significant digits convention always gives the uncertainty in the measurements.
The independent variable is usually placed on the x-axis of the graph.
- A graph shows the relation between two quantities in which one quantity is affected by the other
- Generally, a graph has 2 axes x and y, horizontal and vertical respectively
- A variable which is not affected by the other variable is known as the independent variable
- The dependent variable is dependent on the value of the independent variable
- For example, in a graph where we plot the distance versus time, time is the independent variable and the distance is the dependent variable
- The distance covered depends on the time elapsed
- Usually, the horizontal axis is assigned to an independent variable
Therefore, we typically plot the independent variable on the x-axis of a graph.
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Answer:
Explanation:
The mass of cube = 700 kg
volume = 1 m³
density = 700 kg / m²
Its density is less than that of water so it will try to float on the surface .
Tension in rope will be equal to net upward force
upthrust = volume x density of water x g
= 1 x 10³ x 9.8
= 9800 N
weight of cube = mass x g
= 700 x 9.8
= 6860 N .
Net upward force = 9800 - 6860
= 2940 N.
Tension in the rope = 2940 N.
Rope will hold the cube inside and not allow it to go outside water .
b )
If rope is cut , cube being lighter , will float on surface of water .
Part of cube inside water while floating
= 6860 / 9800
= .7
.7 m will remain inside water
part floating outside
= 1 - 0.7
= 0.3 m .
Explanation:
Yes, in order to determine whether two geometric figures are identical or not we tend to rotate one of the figure clockwise or anti clock wise mentally. However, in clockwise rotation larger the angel more will be the time taken for instance, it will take longer to rotate 120° than to rotate 40°. Whereas in anti clockwise ration it will be vice versa.
There are various reasons why a measurement tool cannot be accurate. One of them is thermal contraction and expansion varies according to seasons.
<h3>What are Accuracy and Precision?</h3>
There are two ways to assess observational error: accuracy and precision. Precision measures how closely two measurements are to one another, whereas accuracy measures how close a group of measurements is to its actual value. In other words, precision is a measure of statistical variability and a description of random errors.
We can say that a tool can be precise, but it cannot be accurate. There are various reasons behind that, some of them are :
- It may not be calibrated properly. If there are no reliable standards to use for calibration, this may occur.
- Perhaps it strayed. This is why electronic scales include a tare function—they are terrible in this area.
- Perhaps the measurements are not linear. Our calipers might have been quite precise at the 2-inch standard, where they were calibrated, but inaccurate at other dimensions.
- Temperature is one environmental component that the instrument might be sensitive to. These effects might be compensated for, but the compensation might not be ideal. This issue affects both dissolved solids meters and picometers.
These are some of the reasons due to which measurement tool cannot be accurate.
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