Physics Chapter on Measurements and Constants
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Questions and Answers

What is the unit of the expression from the fundamental physical constants?

It is kg.

If the error in the radius is 2%, what is the error in determining the volume of a sphere?

The error in determining the volume of a sphere would be 8%.

What is the percentage error in the measurement of a body length of 3.51 m, with an accuracy of 0.01 m?

The percentage error is approximately 0.28%.

How many significant figures does the number 6.3200 J have?

<p>It has six significant figures.</p> Signup and view all the answers

What are the dimensions of the constant b in the equation v = at + bt²?

<p>The dimensions of b are [LT-2].</p> Signup and view all the answers

What are the different types of quantities in physics?

<p>The different types of quantities in physics include scalar quantities, which have magnitude only, and vector quantities, which have both magnitude and direction.</p> Signup and view all the answers

How can you measure the distance to the Moon using the parallax method?

<p>You can measure the distance to the Moon using the parallax method by observing the Moon from two different points on Earth and calculating the angle of displacement, then applying trigonometry.</p> Signup and view all the answers

What are the rules for determining significant figures?

<p>The rules for determining significant figures include considering all non-zero digits as significant, any zeros between significant digits as significant, and leading zeros as non-significant.</p> Signup and view all the answers

What are the limitations of dimensional analysis?

<p>Limitations of dimensional analysis include that it cannot determine numerical factors, cannot apply to all physical quantities, and does not always ensure the correctness of equations.</p> Signup and view all the answers

Define precision and accuracy with an example.

<p>Precision refers to the consistency of repeated measurements, while accuracy is how close a measurement is to the true value; for example, a set of measurements may be precise but not accurate if they are clustered far from the true value.</p> Signup and view all the answers

What is the significance of using screw gauges and vernier calipers?

<p>Screw gauges and vernier calipers are significant because they allow for highly accurate measurements of small distances and thicknesses that are not possible with standard rulers.</p> Signup and view all the answers

Explain the concept of error propagation in measurements.

<p>Error propagation refers to how uncertainties in measurements affect the uncertainty in results; in addition, it involves adding individual uncertainties, while in multiplication, it involves multiplying relative uncertainties.</p> Signup and view all the answers

What do you mean by dimensionless quantities?

<p>Dimensionless quantities are numbers without any physical units that arise from the ratio of two quantities with the same dimension, often used in the analysis of physical phenomena.</p> Signup and view all the answers

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