Tag: measurement of properties

Questions Related to measurement of properties

Which set of figures will be obtained after rounding up the following upto three significant figures?
34.216,  0.04597, 10.4107

  1. 34.3, 0.0461, 10.4

  2. 34.2, 0.0460, 10.4

  3. 34.20, 0.460, 10.40

  4. 34.21, 4.597, 1.04


Correct Option: B
Explanation:

To round up a given number, ignore the last digit as such if the digit next to it is less than 5. Then increase it by 1, if the next digit is greater than 5.

(i) 34.216

34.22 { since next digit (6) is greater than 5 }

34.2 {since next digit (2) is less than 5 }

 (ii) 0.04597

0.0460 {since next digit (7) is greater than 5}

(iii) 10.4107

10.411 { since next digit (7) is greater than 5}

10.41 { since next digit (1) is less than 5}

10.4 { since next digit (1) is less than 5}

Thus option B is correct.

Few figures are expressed in scientific notation. mark the incorrect one.

  1. $234000 = 2.34 \times 10^5$

  2. $8008 = 8 \times 10^3$

  3. $0.0048 = 4.8 \times 10^{-3}$

  4. $500.0 = 5.00 \times 10^2$


Correct Option: B
Explanation:

Figures in scientific notation will be:

A. $234000=2.34 \times 10^5$ 

B. $8008=8.008 \times 10^3 $

C. $0.0048=4.8 \times 10^{−3}$

D. $500.0=5.00 \times 10^2$

Which of the following rules regarding the significant figures and calculations involving them is not correct?

  1. The result of an addition or subtraction is reported to the same number of decimal places as present in number with least decimal places.

  2. Result of multiplication or division should have same number of significant figures as present in most precise figure

  3. The result of multiplication or division should be rounded off to same number of significant figures as present in least precise figure.

  4. The non-significant figures in the measurements are rounded off.


Correct Option: B
Explanation:
1. The result of an addition or subtraction is reported to the same number of decimal places as present in number with the least decimal places.
2. The result of multiplication or division should be rounded off to the same number of significant figures as present in number with the least significant number.
3. The result of multiplication or division should be rounded off to the same number of significant figures as present in the least precise figure.
4. The non-significant figures in the measurements are rounded off.
option B is correct

Magnitude of $e/m$ for ${O^ - }$

  1. $10^{-12}$

  2. $10^{-20}$

  3. $10^{-22}$

  4. $10^{-18}$


Correct Option: B
Explanation:

Here: Mass of ${O^ - } = 16\,g/mol$ and

charge ${O^ - } = {\text{one unit}}$

$ = 1.6 \times {10^{ - 19}}C$

So,

$e/m = \dfrac{{{\text{Charge}}}}{{{\text{Mass}}\,{\text{ratio}}}}$

$ = \dfrac{{1.6 \times {{10}^{ -19}}C}}{{16\,g/mol}}$

$ = \dfrac{{1.6 \times {{10}^{ - 19}}\times C \times mol}}{{16\,g}}$

$ = \dfrac{{0.1 \times {{10}^{ - 19}}\times C \times NA}}{g}\,\,\,\,\,\,\,\,\,\boxed{mol = NA}$

$e/m = {10^{ - 20}}\dfrac{C}{g}$

Two students are working on an AP Chemistry lab. Their assignment is to determine experimentally the density of a nonvolatile organic liquid, limestone. The accepted value for the density of limestone is $0.8422\ g/mL$. Each student conducts three separate density determinations, then calculates a mean (average) value for the density and the standard deviation for their three trials.

Student A Student B
Density #$1$ $0.8421 g/mL$ $0.8408 g/mL$
Density #$2$ $0.8514 g/mL$ $0.8502 g/mL$
Density #$3$ $0.8355 g/mL$ $0.8332 g/mL$
Mean Density $0.8430 g/mL$ $0.8414 g/mL$
Standard Deviation $0.0080$ $0.0085$

The results and calculations for each students are shown in the table below.
Of the four descriptions given below, which BEST interprets the accuracy and precision of Student A and Student B?

  1. Student A and Student B are equally precise, but Student B has more accurate results.

  2. Student A and Student B are equally accurate, but Student B has more precise results.

  3. Student A and Student B have equal accuracy and equal precision.

  4. Student A has more accurate and more precise results than Student B.


Correct Option: B

Among the following, the highest value of prefix is:

  1. yocto

  2. deca

  3. giga

  4. yotta


Correct Option: D
Explanation:

Yocto= $10^{-24}$,             Deca= $10^1$

Griga=$10^9$,                    Yotta=$10^{24}$

Therefore, the highest value of prefix is Yotta  $10^{24}$

The correct option is (D)

The standard temperature is:

  1. $273^0C$

  2. $273K$

  3. $-273K$

  4. $23K$


Correct Option: B
Explanation:

The standard temperature is considered to be $273K$

i.e. $0°C$

The S.I unit of atmospheric pressure is :

  1. $L\ atm$

  2. $N/m$

  3. $Pascal$

  4. None of these


Correct Option: C
Explanation:

The S.I unit of atmospheric pressure is $N/m^2$ or $Pascal$.

           $1\quad Pascal =1N/m^2$
           $1\quad atm =101325\quad Pascal$
           $1\quad bar =10^5\quad Pascal$

What is the SI unit of mass? 

  1. kg

  2. LBS

  3. Pounds

  4. None of these


Correct Option: A
Explanation:

  • SI unit definition is a unit of measurement that is a universally accepted system used for scientific and technical work all over the world.
  • The kilogram is the SI base unit of mass and is equal to the mass of the international prototype of the kilogram, a platinum-iridium standard that is kept at the International Bureau of Weights and Measures (BIPM).

Unit of luminous intensity is:

  1. mole

  2. candela

  3. kelvin

  4. ampere


Correct Option: B
Explanation:

Luminous intensity is a measure of the wavelength-weighted power emitted by a light source in a particular direction per unit solid angle.


Based on the luminosity function, a standardized model of the sensitivity of the human eye. 
The SI unit of luminous intensity is candela(cd).

So, option ( B ) is correct.