Tag: dynamics - explaining motion

Questions Related to dynamics - explaining motion

100 square millimetres ($mm^2$ )= ________ square centimetre($cm^2$).

  1. $100$

  2. $10$

  3. $1$

  4. $0.1$


Correct Option: C
Explanation:
1 Sq. Centimeter = 100 Sq. Millimeters
1 Sq. Millimeter = 0.01 Sq. Centimeter

_______ square centimetres = $1$ square decimetre ($dm^2$ )

  1. $100$

  2. $10$

  3. $1000$

  4. $0.1$


Correct Option: A
Explanation:

$1\ cm=0.1\ dm$ or $10\ cm=1\ dm$

Thus, $1\ dm\times  1\ dm=10\ cm\times 10\ cm$
So, $1\ dm^2=100\ cm^2$

Which of the following is used as SI prefixes:

  1. Micro

  2. Mica

  3. Mikro

  4. Maca


Correct Option: A
Explanation:

Micro is a prefix used in defining some units.  Whenever the word micro is attached as a prefix to an SI unit,  it means it is one million times smaller than that unit. For example, 1 micrometre is one millionth part of a metre. Rest all other options are not   prefixes 

Which of the following is not used as SI prefixes:

  1. Deca

  2. Kilo

  3. Femto

  4. Mica


Correct Option: D
Explanation:

When 'Deca' is attached as a prefix to a unit, it means it is 10 times of that unit.  Kilo means thousand times of a unit.  Femto means of $ {10}^{-15} $ of a unit. Mica is not a prefix but a name of a specific material.

Which of the following is used as SI prefixes:

  1. Femto

  2. Atto

  3. Zepto

  4. All of the above


Correct Option: D
Explanation:

Here femto, atto and zepto, all are used as a prefix in the SI system.

In metric systme, $1 $ femtometer $=10^{-15}$ meter,  $1 $ attometer $=10^{-18}$ meter and $1 $ zeptometer $=10^{-21}$ meter

Which of the following is used as SI prefix:

  1. Mega

  2. Hecto

  3. Tera

  4. Mara


Correct Option: A,B,C
Explanation:

Mega, Hecto and Tera are used as SI prefix. Mega is used for $10^{6}$, Hecto for $10^2$ and Tera for $10^{12}$.

If the values of force and length are increased four times, then the unit of energy will be increase by:

  1. 4 times

  2. 2 times

  3. 8 times

  4. 16 times


Correct Option: D
Explanation:
The correct option is D
We have, $f=4[MLT^{-2}]$ and $d=4[L]$

$E=f\times d$

We know that Energy is equal to the product of force and distance.

Thus,
$=4[MLT^{-2}]\times4[L]$

$=16[ML^2T^{-2}]$

If both increased by 4times then the energy increased by $16\ times$

If unit of mass, length and time are tripled, then unit of energy becomes:

  1. $3$

  2. $\dfrac{1}{3}$

  3. $9$

  4. $\dfrac{1}{9}$


Correct Option: A
Explanation:
Unit of Energy $kg\,m^2/s^2$

Unit of length $= m$ (metre)

Unit of mass $= kg$ (kilogram)

Unit of time $= s$ (second)


Thus unit of energy in terms of unit of mass, length and time is given by,

$Unit \,of\, Energy =\dfrac{(Unit\,of\,mass)\times(Unit\,of\,length)^2}{(Unit\,of\,time)^2}$

If the unit of mass, length and time are tripled the unit of energy will be,

$Unit \,of\, Energy =\dfrac{(3\times Unit\,of\,mass)\times(3\times Unit\,of\,length)^2}{(3\times Unit\,of\,time)^2}$

$Unit \,of\, Energy =3\times \dfrac{(Unit\,of\,mass)\times(Unit\,of\,length)^2}{(Unit\,of\,time)^2}$

$Unit\,of\,energy=3\times Unit\,of\,energy$

Therefore, if the unit of mass, length and time are tripled, the unit of energy will be, 3 times more than the original unit of energy.

If a thermometer reads freezing point of water at 20 degree Celsius and boiling point as 150 degree Celsius, how much thermometer can read when the actual temperature is 60 degree Celsius?

  1. 98 degrees celsius

  2. 10 degree Celsius

  3. 40 degree Celsius

  4. 60 degree Celsius


Correct Option: A

The unit of length, mass and energy are doubled.Which of the  following is /are correct?

  1. unit of time is doubled

  2. unit of momentum is doubled

  3. unit of power is doubled

  4. Both (1) & (2)


Correct Option: B