Question:
The pitch of the screw gauge is $1 mm$ and there are $100$ divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies $ 8$ divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while $72^{\text {nd }}$ division on circular scale coincides with the reference line. The radius of the wire is
The pitch of the screw gauge is $1 mm$ and there are $100$ divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies $ 8$ divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while $72^{\text {nd }}$ division on circular scale coincides with the reference line. The radius of the wire is
Updated On: Jul 15, 2024
- $1.64\, mm$
- $0.82\, mm$
- $1.80\, mm$
- $0.90 \,mm$
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Least count $=\frac{1 \,mm }{100}=0.01 \,mm$
zero error $=+8 \times LC =+0.08 \,mm$
True reading (Diameter)
$=(1\, mm +72 \times LC )-\text { (Zero error) } $
$=(1 mm +72 \times 0.01 mm ) -0.08 \,mm $
$=1.72 \,mm -0.08 \,mm $
therefore radius $=\frac{1.64}{2}$
$=0.82\,mm$
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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.