Precision and Accuracy

Q. The number $0.000043$ is the form of scientific notation should be

1. $4.3\times {10}^{-5}$
2. $4.3\times {10}^4$
3. $4.3\times {10}^5$
4. $4.3\times {10}^6$

Q.

An analytic balance has uncertainty In measurement equal to $\pm$1 mg. Then report the result in terms of percentage if the weight of a compound is
(a) 1 g
(b) 10 g
(c) 100 g

1. ;

2. 

3. 

4. 

Q.

The students are given a vernier calipers to measure the outer diameter of a cylinder. The actual outer diameter is 4 cm. The measurements made are given in the following table:
$\begin{array}{cccccc}Student& Measurements& & & & \\ & 1& 2& 3& 4& 5\\ A& 4& 4& 4& 4& 4\\ B& 3.5& 3.6& 3.7& 3.8& 3.65\\ C& 3.7& 3.9& 4.1& 4.3& 4\\ D& 3.6& 4.2& 4.4& 4.8& 4.25\\ E& 4.005& 3.995& 4.05& 3.95& 4\end{array}$

1. In case A, the measurements are said to be:

1. Accurate

2. Precise

3. none

4. Both a & b

Q.

In a kingdom there was an excellent archer. The ruler was jealous of his archery skills, so he decided to put his skills to test. The archer was asked to shoot an apple which was placed on his son's head or else his son will be killed. The archer always used his trusted bow.

Now that his son's life was in his hands the archer's hand started to tremble. So, now when he started shooting with the original bow he hit different spots which were close to the apple. In this case the archer is:

1. Accurate

2. Precise

3. none

4. Both a & b

Q.

In a kingdom there was an excellent archer. The ruler was jealous of his archery skills, so he decided to put his skills to test. The archer was asked to shoot an apple which was placed on his son's head or else his son will be killed. The archer always used his trusted bow.

Case 2: The archer was really confident but the ruler hired a thief to steal his bow and replace it with a defective one which is slightly bent to the side. This time when the archer shot from the new bow he always hit the same spot but slightly deviated from the apple. In this case the archer is:

1. Precise

2. Both a & b

3. Accurate

4. none

Q.

In a kingdom there was an excellent archer. The ruler was jealous of his archery skills, so he decided to put his skills to test. The archer was asked to shoot an apple which was placed on his son's head or else his son will be killed. The archer always used his trusted bow.

Case 1: In practice shots he always hits the apple. In this case the archer is:

1. none

2. Accurate

3. Precise

4. Both a & b

Q. A student conducted an experiment and obtained three values during three repetitive trials: $1.65,1.68,1.71$. Later, the student discovered that the true value was $2.37$. In contrast to the real value, the experimental results should be characterized as:

1. not accurate and not precise
2. accurate but not precise
3. not accurate but precise
4. accurate and precise
5. accurate, precise, but unreliable

Q. Which of the following is the most accurate measurement?

1. 9 m
2. 9.0 m
3. 9.00 m
4. 9.000 m

Q. If repeated measurements give values close to one another, the number is:

1. surely precise
2. surely accurate
3. surely precise and accurate
4. all of these are correct

Q. A student conducted an experiment and obtained three values during three repetitive trials: 1.65, 1.68, 1.71. Later, the student discovered that the true value was 2.37. In contrast to the real value, the experimental results should be characterized as:

1. not accurate and not precise
2. accurate and precise
3. accurate but not precise
4. accurate, precise, but unrealiable
5. not accurate but precise