Tag: uncertainties and errors, graphical techniques

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Questions Related to uncertainties and errors, graphical techniques

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

The correctly reported answer of the addition of 4.523, 2.3 and 6.24 will have significant figures

  1. 2

  2. 3

  3. 4

  4. 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When adding numbers, the result should be rounded to the same number of decimal places as the term with the fewest decimal places. Adding 4.523, 2.3, and 6.24 yields 13.063. Since 2.3 has only one decimal place, the sum must be rounded to one decimal place, giving 13.1, which contains 3 significant figures.

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

Number of significant figures in $ 2000\times 10^2$ is ____ .

  1. 6

  2. 1

  3. 4

  4. Infinite
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In the number 2000 x 10^2, the trailing zeros without a decimal point are generally considered ambiguous, but following standard rules for scientific notation conversion or explicit digits, 2000 written without a decimal point has only 1 significant figure (the leading 2), as the zeros are placeholders.

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

Which of the following has two significant figures?

  1. $0.070$
  2. $0.70$
  3. $7.0$
  4. $70$
Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
Explanation


Leading Zeroes are not significant because these zeroes only serve as space holder. They are there to put decimal point in correct location. Trailing zeroes in a number containing decimal point are significant.

Leading zeroes in whole number are never significant so 70 has only 1 significant figure.

So, option A, B and C are correct.

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

Which of the following have same significant figures?

  1. $6.02\times 10^{23}$
  2. $7.70\times 10^{-20}$
  3. $7.50$
  4. $0.75$
Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
Explanation

The number of single digits that are important in the coefficient of an expression in scientific notation is termed as significant number.


$(A),(B)$ & $(C)$ have $3$ significant figures.

Wheras, $(D)$ has only $2$ significant figures.

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

Statement I: The number $5,007$ has three significant figures
Because
Statement II: Zeros between non-zero digits are significant

  1. one is True, second is True and currect expilanation

  2. one is true and second is true

  3. one is true and second is False

  4. one is False and second is True

  5. False False
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

 Statement I: The number $5,007$ has four significant figures
Because
Statement II: Zeros between non-zero digits are significant
Hence, the statement I is false and statement II is true.

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

Which choice shows the answer to the following mathematical operation with the correct number of significant figures?
$14.5-3.46=$______

  1. $11$
  2. $10$
  3. $11.04$
  4. $11.0$
  5. $11.4$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

      $14.5-3.46=11.04$

In subtraction, the final answer is written as the same number of decimal places as that of the term with the least number of decimal places.
  $\therefore$ The answer is $11.0$

Multiple choice chemistry measurement and data processing and analysis uncertainties and errors, graphical techniques uncertainty in measurement measurement of properties

Which choice shows the answer to the following mathematical operation with the correct number of significant figures?


$2.8\times 8.96 = ? $

  1. $25.09$
  2. $25.1$
  3. $25$
  4. $25.08$
  5. $25.088$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In multiplication, the final answer is reported as the same number of decimal places as that of the term with the least number of decimal places.


$2.8\times 8.96=25.088=25.1$

Hence, the correct answer is option $B$.