Medium
Mention the $MKS$ and $CGS$ units of work,define them,and write the dimensional formula of work.
(N/A) The $MKS$ unit of work is the Joule $(J)$.
Definition of Joule: One Joule of work is said to be done when a force of $1 \text{ Newton}$ displaces a body by $1 \text{ metre}$ in the direction of the applied force.
$1 \text{ Joule} = 1 \text{ N} \cdot \text{m} = 1 \text{ kg} \cdot \text{m}^2 \cdot \text{s}^{-2}$.
The $CGS$ unit of work is the erg.
Definition of erg: One erg of work is said to be done when a force of $1 \text{ dyne}$ displaces a body by $1 \text{ cm}$ in the direction of the applied force.
$1 \text{ erg} = 1 \text{ dyne} \cdot \text{cm} = 1 \text{ g} \cdot \text{cm}^2 \cdot \text{s}^{-2}$.
Dimensional formula of work: $[M^1 L^2 T^{-2}]$.
Conversion: $1 \text{ Joule} = 10^7 \text{ erg}$.
Practical units of work/energy:
Definition of Joule: One Joule of work is said to be done when a force of $1 \text{ Newton}$ displaces a body by $1 \text{ metre}$ in the direction of the applied force.
$1 \text{ Joule} = 1 \text{ N} \cdot \text{m} = 1 \text{ kg} \cdot \text{m}^2 \cdot \text{s}^{-2}$.
The $CGS$ unit of work is the erg.
Definition of erg: One erg of work is said to be done when a force of $1 \text{ dyne}$ displaces a body by $1 \text{ cm}$ in the direction of the applied force.
$1 \text{ erg} = 1 \text{ dyne} \cdot \text{cm} = 1 \text{ g} \cdot \text{cm}^2 \cdot \text{s}^{-2}$.
Dimensional formula of work: $[M^1 L^2 T^{-2}]$.
Conversion: $1 \text{ Joule} = 10^7 \text{ erg}$.
Practical units of work/energy:
| erg | $10^{-7} \text{ J}$ |
| Electron volt (eV) | $1.6 \times 10^{-19} \text{ J}$ |
| Calorie (cal) | $4.186 \text{ J}$ |
| Kilowatt hour (kWh) | $3.6 \times 10^6 \text{ J}$ |
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Similar Questions
Which of the following represents the fundamental forces of nature?
In the context of accuracy of measurement and significant figures in expressing results of experiment,which of the following is/are correct?
$(1)$ Out of the two measurements $50.14 \, cm$ and $0.00025 \, A$,the first one has greater accuracy.
$(2)$ If one travels $478 \, km$ by rail and $397 \, m$ by road,the total distance travelled is $478 \, km$.
$(1)$ Out of the two measurements $50.14 \, cm$ and $0.00025 \, A$,the first one has greater accuracy.
$(2)$ If one travels $478 \, km$ by rail and $397 \, m$ by road,the total distance travelled is $478 \, km$.
Medium
View SolutionMatch List-$I$ with List-$II$.
List-$I$ List-$II$ $(a)$ Capacitance,$C$ $(i)$ $M^{1} L^{1} T^{-3} A^{-1}$ $(b)$ Permittivity of free space,$\varepsilon_{0}$ $(ii)$ $M^{-1} L^{-3} T^{4} A^{2}$ $(c)$ Permeability of free space,$\mu_{0}$ $(iii)$ $M^{-1} L^{-2} T^{4} A^{2}$ $(d)$ Electric field,$E$ $(iv)$ $M^{1} L^{1} T^{-2} A^{-2}$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
| $(a)$ Capacitance,$C$ | $(i)$ $M^{1} L^{1} T^{-3} A^{-1}$ |
| $(b)$ Permittivity of free space,$\varepsilon_{0}$ | $(ii)$ $M^{-1} L^{-3} T^{4} A^{2}$ |
| $(c)$ Permeability of free space,$\mu_{0}$ | $(iii)$ $M^{-1} L^{-2} T^{4} A^{2}$ |
| $(d)$ Electric field,$E$ | $(iv)$ $M^{1} L^{1} T^{-2} A^{-2}$ |
Choose the correct answer from the options given below:
Match List-$I$ with List-$II$.
List-$I$ List-$II$ $(A)$ Coefficient of viscosity $(I)$ $[ML^0T^{-3}]$ $(B)$ Intensity of wave $(II)$ $[ML^{-2}T^{-2}]$ $(C)$ Pressure gradient $(III)$ $[M^{-1}LT^2]$ $(D)$ Compressibility $(IV)$ $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
| $(A)$ Coefficient of viscosity | $(I)$ $[ML^0T^{-3}]$ |
| $(B)$ Intensity of wave | $(II)$ $[ML^{-2}T^{-2}]$ |
| $(C)$ Pressure gradient | $(III)$ $[M^{-1}LT^2]$ |
| $(D)$ Compressibility | $(IV)$ $[ML^{-1}T^{-1}]$ |
The related effort to derive the properties of a bigger,more complex system from the properties and interactions of its constituent simpler parts is:
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