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Writing symbols of units - class-XI

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If units of mass and length are doubled and that of time remains same, in which quantity numberical value is unchanged?

  1. Force

  2. Energy

  3. Power

  4. Stress


Correct Option: D

When a symbol is used to represent a unit named after a person,  lower-case letters are used.

  1. True

  2. False


Correct Option: B
Explanation:
The given statement is false because upper-case letters are used to represent the symbol of a unit named after a person.
For example : Newton is denoted by  $N$

The correct way to represent an unit amount of force is :

  1. 1 newton

  2. 1 Newton

  3. 1 NEWTON

  4. None of these


Correct Option: A
Explanation:

The full name of the unit, irrespective of the fact whether it is named after a scientist or not, is always written with the lower initial letter. Hence 1 newton is correct way to write.

The correct way to represent ${10}^{9}W$ is

  1. $1GW$

  2. $1MW$

  3. $1TW$

  4. none of these


Correct Option: A
Explanation:

A unit may not be written with double prefixes. So, ${10}^{9}W$ may be written as $1GW$ and not as $1kMW$ and $1mTW$.

Which of the following is the right way of expressing 1 watt of power?

  1. 1 Watt

  2. 1 W

  3. 1 w

  4. 1 wt


Correct Option: B
Explanation:

The symbol for a unit, which is named after a scientist, is written with the first letter of the name as capital. So, 1 watt will be expressed as 1 W.

The symbol for a unit which is not named in the honour of some scientist is written in

  1. Lower initial letter

  2. Initial capital letter

  3. Lower letter

  4. All


Correct Option: C
Explanation:

The symbol for a unit which is not named in the honor of some scientist is written in lower letter.ex:- the symbol for metre is 'm',for kilo gram is 'kg' and for second is 's'.

The symbol for metre is written as :

  1. $m$

  2. $M$

  3. $\mu$

  4. All of the above 


Correct Option: A
Explanation:

The symbol for metre is 'm' ,for kilogram is 'kg' and for second is 's'.

Full name of the unit named in the honour of a scientist is written with

  1. Lower initial letter

  2. Initial capital letter

  3. Lower letter

  4. All


Correct Option: A
Explanation:

Full name of the unit named in the honour of a scientist is written with lower initial letter. For example, the full form for unit of force is newton and not Newton.

The ratio of SI unit to CGS unit of $g$ is :

  1. $10^2$

  2. $10$

  3. $10^{-1}$

  4. $10^{-2}$


Correct Option: A
Explanation:

SI unit of $g$ is   $m/s^2$
CGS unit of $g$ is  $cm/s^2$
We know that  $1 \ m = 100 cm$
Thus ratio of SI unit to CGS unit  $\dfrac{m/s^2}{cm/s^2} = \dfrac{100 \ cm/s^2}{cm/s^2} = 10^2$

SI unit of G is $Nm^2   kg^{-2}$. Which of the following can also be used as the SI unit of G?

  1. $m^3kg^{-1}s^{-2}$

  2. $m^2kg^{-2}s^{-1}$

  3. $m kg^{-3}s^{-1}$

  4. $m^2kg^{-3}s^{-2}$


Correct Option: A
Explanation:

$m^3kg^{-1}s^{2}$ is also used as the SI unit of G

The characteristic of a good unit is ..

  1. It should be universally accepted

  2. It should be invariable and not perishable

  3. It should be easily available & easy to reproduce

  4. All of these


Correct Option: D
Explanation:

A good unit should contain all of the properties. 

Ans: All of these

The prefixes $nano (n), micro (\mu)$ and $pico (p)$ are often used with units.
Which row shows their correct values?

  1. $n = 10^{-6}, \mu = 10^{-9}, p = 10^{-12}$

  2. $n = 10^{-6}, \mu = 10^{-12}, p = 10^{-9}$

  3. $n = 10^{-9}, \mu = 10^{-6}, p = 10^{-12}$

  4. $n = 10^{-12}, \mu = 10^{-9}, p = 10^{-6}$


Correct Option: C
Explanation:

1 nano unit = $10^{-9}$ unit

1 $\mu$  unit= $10^{-6}$  unit
1 $p$ unit = $10^{-12}$  unit
So, option C is correct 

Which definition is correct and uses only quantities rather than units?
  1. Density is mass per cubic metre

  2. Potential difference is energy per unit current

  3. Pressure is force per unit area

  4. Speed is distance traveled per second


Correct Option: C
Explanation:

We know that 

Pressure $P= \dfrac{Force }{Area}$
So, option C is correct.

Which of the statements are false?

  1. The units of physical quantity represented by volume is $cm^3$

  2. The unit of physical quantity represented by mass is $ton$

  3. The work done is represented by $\dfrac{kg}{m}$

  4. The unit of physical quantity represented by weight is $Newton$


Correct Option: C
Explanation:

Work done is given by   $W = FS $
Thus work has the units of  $kg .m s^{-2}.m$
Thus statement given in option C is incorrect.

Which of the following statements below should be followed while using the symbol for a unit of a physical quantity?

  1. The symbol named after a scientist should begin with a capital letter.

  2. They can take plural forms.

  3. They can be written in full.

  4. They should be written only in the agreed symbols while using symbols.


Correct Option: A,C,D
Explanation:
Basic rules for the use and writing for a  unit of a physical quantity are;
1. They symbol named after scientist should have the capital letter, 
2. They can be written in full 
3. They should be written only in the agreed symbols be used while using the symbol for a unit of a physical quantity. 
4. They cannot take plural forms.
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