Question:

In order to measure the period of a single pendulum using a stop clock, a student repeated the experiment for $10$ times and noted down the time period for each experiment as $5.1, 5.0, 4.9, 4.9, 5.1, 5.0, 4.9, 5.1, 5.0, 4.9\, s$ . The correct way of expressing the result for the period is

Updated On: Jun 8, 2024
  • 4.99 s
  • 5.0 s
  • 5.00s
  • 4.9 s
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The Correct Option is B

Solution and Explanation

Mean $=\frac{\Sigma x_{i} f_{i}}{10}=\frac{(4.9 \times 4)+(5.0 \times 3)+(5.1 \times 3)}{10}$
$=4.99 \,s$
Which can be round off to $5.0\, s$ correct to two significant figures.
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Concepts Used:

Physical World

The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are:

  • Gravitational Force is a universal force that exists as an outcome of mutual attraction between any two objects with respect to their masses.
  • Electromagnetic Force can be understood as the force that is present between the charged particles. The force is stated by Coulomb’s law.
  • Strong Nuclear Force is the force that ties the protons and neutrons in a nucleus. Of all the elemental forces in nature, a strong nuclear force is the strongest as its name suggests.
  • Weak Nuclear Force can only be noticed in some of the nuclear processes such as the beta decay of the nucleus.