Question:

The pitch of a screw gauge is $0.5\, mm$ and there are $100$ divisions on it circular scale. The instrument reads $+2$ divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are $8$ divisions on the main scale and $83^{rd}$ division coincides with the reference line. Then the diameter of the wire is

Updated On: Jul 7, 2022
  • $4.05\, mm$
  • $4.405\, mm$
  • $3.05\, mm$
  • $1.25\, mm$
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The Correct Option is B

Solution and Explanation

$\Delta l= 0.5 \,mm$ $N= 100$ divisions Zero correction $= 2$ divisions Reading = Measured value + Zero correction $= \left(8\times0.5\right)mm + \left(83-2\right)\times\frac{0.5}{100}$ $=4mm+81\times\frac{0.5}{100}$ $=4.405\,mm$
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Concepts Used:

Random Experiments

An Experiment is the activity that produces a result or an outcome. It is an element of uncertainty as to which it occurs when we perform an activity or experiment. Normally we get a different number of outcomes from an experiment. However, when an experiment satisfies the following two conditions, it is known as random experiment.

  • It has more than one possible outcome.
  • It is not possible to predict the outcome in advance.

On the basis of random experiment we can identify whether the given experiment is random or not. Let’s check with the help of example which is a random experiment and which is not.

Question: Using a calculator, divide 36 by 4. Now check, whether it is a random experiment or not.

Solution:

  • This activity can be repeated under identical conditions though it has only one possible result.
  • The outcome is always 9, which means we can predict the outcome each time we repeat the operation.

The given activity is not a random experiment.