Tag: learning how to measure

Questions Related to learning how to measure

The length, breadth and height of a glass slab are respectively $50 cm$, $20 cm$ and $25 cm$. Find the volume of the slab.

  1. $25 \times 10^3 cm^3$

  2. $5.0 \times 10^3 cm^3$

  3. $2.5 \times 10^2 cm^3$

  4. $5.0 \times 10^2 cm^3$


Correct Option: A
Explanation:

Volume$=$Length$\times$ breadth$\times$ depth

Volume$=50\times20\times25cm^{3}=25000cm^3=25\times10^3 cm^3$

Which of the following is not unit of length?

  1. angstrom

  2. fermi

  3. barn

  4. parsec


Correct Option: C
Explanation:

Angstrom, fermi and parsec are the units of length whereas barn is the unit of nuclear cross-section. 

Which of the following is the smallest unit?

  1. millimetre

  2. angstrom

  3. fermi

  4. metre


Correct Option: C
Explanation:
$1 \ mm = 10^{-3}\ m$
 $1 \ \overset{o}{A} = 10^{-10} \  m$;
$1 \ fm =10^{-15}\  m$
Among the given units fermi is the smallest unit.
Hence the correct option is $(C)$

Which of the following system of units is not based on unit of mass, length and time?

  1. CGS

  2. FPS

  3. MKS

  4. SI


Correct Option: D
Explanation:
The SI unit system is not based on only mass, length and time alone. 
This unit system is consists of seven fundamental units which can be given as mass, length, time, temperature, luminous intensity, mole and current.
The correct answer is option $(D)$

Match the Column I with Column II.

Column I Column II
(A) Distance between earth and sun (p) Micron
(B) Interatomic distance in a solid (q) Fermi
(C) Size of a nucleus (r) Light year
(D) Wavelength of infrared laser (s) Angstrom
  1. A - p, B - q, C - r, D - s

  2. A - r, B - s, C - q, D - p

  3. A - q, B - p, C - s, D - r

  4. A - s. B - r, C - p, D - q


Correct Option: B
Explanation:

Distance between earth and sun - Light year
Interatomic distance in a solid - Angstrom
Size of a nucleus - Fermi
Wavelength of infrared laser - Micron

Match the Column I with Column II

Column I(Physical quantity) Column II(Name of unit)
(A) Conductance (p) gray
(B) Magnetic induction (q) lumen
(C) Absorbed dose (r) tesla
(D) Luminous flux (s) siemens
  1. A - s, B - r, C - p, D - q.

  2. A - p, B - q, C - r, D - s.

  3. A - q, B - p, C - s, D - r.

  4. A - r, B - s, C - p, D - q.


Correct Option: A
Explanation:

1) Conductance (G) is reciprocal of resistance (R).

$\therefore G=\dfrac{1}{R}$
$\therefore G=\dfrac{I}{V}$      $\left[\therefore \text{since}\,R=\dfrac{V}{I}\right]$
And its Unit is Siemens (S)
2) When an emf [electromotive force] is induced in a circuit due to change in the magnetic flux associated with the circuit is called Magnetic Induction.
$B=\dfrac{F}{q\,v\,\sin\theta}$
Unit is Tesla
3) Absorbed Dose (D) is the amount of energy abdorbed per unit mass of tissue.
Unit is GRAY (Gy)
4) Luminous flux is the measurement of brightness of a light source in terms of energy emitted.
SI unit is Lumen.

What is the value of $1 \ m $ in $\mu$ (micron)?

  1. $10^5$

  2. $10^6$

  3. $10^9$

  4. $10^{12}$


Correct Option: B
Explanation:

Answer is B

$1\ m=10^{6}\mu $
The micrometer is a common unit of measurement for wavelengths of infrared radiation as well as sizes of biological cells and bacteria and is also commonly used in plastics manufacturing.

$5800 \mathring A$ in nm will be?

  1. 58

  2. 5.8

  3. 580

  4. 0.58


Correct Option: C
Explanation:

We know that $1{\buildrel _{\circ}\over{\mathrm{A}}}=10^{-10} m$

$1$ nanometer or $1\ nm =$$10^{-9}m$
So, we get $1{\buildrel _{\circ}\over{\mathrm{A}}}=0.1 nm$
$5800{\buildrel _{\circ}\over{\mathrm{A}}}=0.1\times 5800\ nm= 580\ nm$

Convert $1$ $ \displaystyle g/cm^{3} $ to $\displaystyle kg/m^{3} $

  1. 1000

  2. 100

  3. 0.1

  4. 10


Correct Option: A
Explanation:

We know that  $1 \ g = \dfrac{1}{1000} \ kg$
Also,  $1\ cm = \dfrac{1}{100} \ m$
Thus   $1g/cm^3 = 1 \ g\times\dfrac{1  \ kg}{1000 \ g}\times \dfrac{1}{1 \ cm^3}\times \dfrac{(100)^3 \ cm^3}{1 \ m^3} = 1000 \ kg/m^3$

One centimetre is equal to

  1. 5 mm

  2. 10 mm

  3. 15 mm

  4. None of these


Correct Option: B
Explanation:

We know that:

$ 1\ cm = 10\ mm$