Tag: units and measurement: error analysis

Quizzes (17) Questions (163)

Questions Related to units and measurement: error analysis

Multiple choice physics units and measurement: error analysis significant figures significant figures and rounding of digits units and measurements

A body of mass $m =3.513\ kg$ is moving along the x-axis with a speed of $5.00{ ms }^{ -1 }$. The magnitude of its momentum is recorded as :

  1. $17.56\ kg{ ms }^{ -1 }$

  2. $17.57\ kg{ ms }^{ -1 }$

  3. $17.6\ kg{ ms }^{ -1 }$

  4. $17.565\ kg{ ms }^{ -1 }$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Momentum$=mv=3.513\times 5.00=17.565\approx 17.57$
$\approx 17.6 kg m/s$
(Since 5.00 contains  least no. of significant figures i.e. 3)

Multiple choice physics units and measurement: error analysis significant figures significant figures and rounding of digits units and measurements

A student measure the thickness of an object by three different instruments and gets the result as 0.5 cm, 0.50 cm, 0.500 cm. State the one which is more accurate. 

  1. $0.5$ cm

  2. $0.50$ cm

  3. $0.500$ cm

  4. All the measurements are equally accurate.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since, the measurement $0.500 \ cm$ gives the reading up to 3 decimel, thus $0.500 \ cm$ is the most accurate measurement among the given three measurements.

Multiple choice physics units and measurement: error analysis significant figures significant figures and rounding of digits units and measurements

In the number 2.4560, there are 5 significant digits. Which one is the least significant digit?

  1. 2

  2. 4

  3. 0

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The least significant digit is the lowest digit in a number, located at the far right of a string.


Here 0 is the rightmost side of this number so this is least significant digit.


Option C is the correct answer

Multiple choice physics units and measurement: error analysis significant figures significant figures and rounding of digits units and measurements

Write down the significant figures in the following
1. $5238$ N
2. $4200 $kg

  1. $4 , 4$

  2. $4 , 2$

  3. $4, 3$

  4. $5, 3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
All non-zero digits are significant and last zeros are not considered as significant.
(a) : The given number $5238$ has four significant figures.
(b) : The given number $4200$ has two significant figures.
Multiple choice physics units and measurement: error analysis significant figures significant figures and rounding of digits units and measurements

if $L=2.331 cm$, $B = 2.1 cm$, then L+B=

  1. $4.431cm$

  2. $4.43cm$

  3. $4.5cm$

  4. $4.2cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Step 1
$L = 2.331 cm = 2.33$ (corrected to two decimal places) and $B = 2.1 cm$
Step 2
$L + B = 2.33 + 2.1 = 4.43cm. = 4.4cm$
(by the rule of addition the sum is expressed in minimum decimal places of terms in addition).