Answer
Verified
469.2k+ views
Hint: Erg and Joule both are the units for work done. Joule is the amount of work done by applying a force of one newton for a distance of $1m$ while $erg$ is the amount of work done by applying force of one dyne for distance of $1cm$.
Formula used: The work done of on any object can be calculated by: $W=F*d$
Where $F$- force applied on the object
$d$- distance
Complete step by step answer:
erg is the unit for work done in the CGS base units, i.e. gram centimetre-squared.
So,
$1$joule = $1N\times 1m$
$1J=\dfrac{1kg\times 1m}{1{{s}^{2}}}\times 1m$
$\begin{align}
& 1J=\dfrac{1000g\times 100cm}{1{{s}^{2}}}\times 100cm \\
& 1J={{10}^{7}}erg \\
\end{align}$
So, the correct answer is “Option D”.
Additional Information: Joule is defined as the SI unit of work or energy, adequate to the work done by a force of one newton when its point of application moves one metre within the direction of action of the force, like one ${{3600}^{th}}$ of a watt-hour. Work done by a force on a body are often positive, negative and zero i.e.,
(a) Work done is positive: - Force is within the same direction as displacement for instance work done by force for pushing a block of mass m.
(b) Work done is negative: - Force is opposite to the displacement for instance when a body slides on level work done by frictional forces on the body is negative as frictional force always acts opposite to displacement of the body.
Note: Unit of work done in any system of units is adequate to the unit of force multiplied by the unit of distance. In SI system International unit of work is $1Nm$ and is said Joule(J). Thus,
$1J=1Nm$
In CGS system unit is erg
$1erg=1dyne-cm$
Formula used: The work done of on any object can be calculated by: $W=F*d$
Where $F$- force applied on the object
$d$- distance
Complete step by step answer:
erg is the unit for work done in the CGS base units, i.e. gram centimetre-squared.
So,
$1$joule = $1N\times 1m$
$1J=\dfrac{1kg\times 1m}{1{{s}^{2}}}\times 1m$
$\begin{align}
& 1J=\dfrac{1000g\times 100cm}{1{{s}^{2}}}\times 100cm \\
& 1J={{10}^{7}}erg \\
\end{align}$
So, the correct answer is “Option D”.
Additional Information: Joule is defined as the SI unit of work or energy, adequate to the work done by a force of one newton when its point of application moves one metre within the direction of action of the force, like one ${{3600}^{th}}$ of a watt-hour. Work done by a force on a body are often positive, negative and zero i.e.,
(a) Work done is positive: - Force is within the same direction as displacement for instance work done by force for pushing a block of mass m.
(b) Work done is negative: - Force is opposite to the displacement for instance when a body slides on level work done by frictional forces on the body is negative as frictional force always acts opposite to displacement of the body.
Note: Unit of work done in any system of units is adequate to the unit of force multiplied by the unit of distance. In SI system International unit of work is $1Nm$ and is said Joule(J). Thus,
$1J=1Nm$
In CGS system unit is erg
$1erg=1dyne-cm$
Recently Updated Pages
Write the IUPAC name of the given compound class 11 chemistry CBSE
Write the IUPAC name of the given compound class 11 chemistry CBSE
Write the IUPAC name of the given compound class 11 chemistry CBSE
Write the IUPAC name of the given compound class 11 chemistry CBSE
Write the IUPAC name of the given compound class 11 chemistry CBSE
Write the IUPAC name of the given compound class 11 chemistry CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Distinguish between the following Ferrous and nonferrous class 9 social science CBSE
The term ISWM refers to A Integrated Solid Waste Machine class 10 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Which is the longest day and shortest night in the class 11 sst CBSE
In a democracy the final decisionmaking power rests class 11 social science CBSE