Tag: uncertainties and errors, graphical techniques

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

Calculate the following with due regard for significant figures:


 $\dfrac{1.53\times 0.9995}{1.592}$.

  1. $0.961$
  2. $0.921$
  3. $0.123$
  4. $0.913$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$1.53\times 0.9995=1.529=1.53$ .....By applying significant figure rule


$\cfrac { 1.53\times 0.9995 }{ 1.592 } =\cfrac { 1.53 }{ 1.592 } =0.961$

Hence, the correct option is $A$

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

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Precision $=$ Individual value $-$ mean value

If the repeated measurement value is close to one another, the mean value will be close to the individual values. Therefore, their difference i.e. Precision is close to zero. Therefore, they are surely precise.
But the accuracy is the difference between the actual value & the mean value.
As we do not know the actual value, we cannot predict its accuracy.

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

Which of the following values possess maximum number of significent zeros?

  1. $0.00007$
  2. $0.00070$
  3. $20.000$
  4. $0.800$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Count significant zeros (zeros that count as significant figures): 0.00007 has 0, 0.00070 has 1, 20.000 has 3, 0.800 has 2. Option C has the maximum significant zeros (3 trailing zeros after decimal).

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

Which among the following measurements contains the highest number of significant figures? 

  1. $1.123 \times 10^{-3}kg$
  2. $1.2 \times 10^{-3}kg$
  3. $0.123 \times 10^{3}kg$
  4. $2 \times 10^{5}kg$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Option A has 4 significant figures (1.123). Option B has 2 (1.2). Option C has 3 (0.123). Option D has 1 (2).