1 dyne is equal to …………………
A.980 g wt.
B.$\dfrac{1}{980}$ g wt.
C.980 kg wt.
D.None of these.
Answer
660.6k+ views
Hint: Dyne is the CGS unit of force that measures the amount of force that is required by a mass to get an acceleration of a gram in a second by any of the rigid body.
Complete step by step answer:
Force works with both magnitude and direction and that’s why force affects both. We can simply refer to force as a push or a pull of any object or the material. The CGS unit of force is Dyne.
Dyne refers to a force that is required to accelerate a mass of one gram per second at the figure/rate of one centimetre.
Dyne is the unit of force specified in CGS system, so
\[\begin{align}
& 1\text{ dyne}={{10}^{-5}}N \\
& 1N=\dfrac{1}{9.80}kg \\
\end{align}\]
Substituting 1N in dyne, we get
\[1\text{ dyne}=\dfrac{1}{9.80}\times {{10}^{-5}}kg\]
Converting kg into grams, we get
\[\begin{align}
& 1\text{ dyne}=\dfrac{1}{9.80}\times {{10}^{-5}}\times {{10}^{3}}g \\
& \Rightarrow 1\text{ dyne}=\dfrac{1}{980}\text{ }g\text{ }wt. \\
\end{align}\]
Hence, the correct option is b.
Additional Informations:
Force is something that when applied changes the speed along with the motion of the object. Force is even responsible to change in velocity of any object that means if we apply some force on any object it results in the change in the path of speed along with the path of the object.
Note: Always note the values given in question carefully and by using applied formula do the calculation because a small change even in decimal value can affect your answer and turn it wrong.Students often make mistakes while converting kg into g. Usually they forget to convert and get the wrong answer.
Complete step by step answer:
Force works with both magnitude and direction and that’s why force affects both. We can simply refer to force as a push or a pull of any object or the material. The CGS unit of force is Dyne.
Dyne refers to a force that is required to accelerate a mass of one gram per second at the figure/rate of one centimetre.
Dyne is the unit of force specified in CGS system, so
\[\begin{align}
& 1\text{ dyne}={{10}^{-5}}N \\
& 1N=\dfrac{1}{9.80}kg \\
\end{align}\]
Substituting 1N in dyne, we get
\[1\text{ dyne}=\dfrac{1}{9.80}\times {{10}^{-5}}kg\]
Converting kg into grams, we get
\[\begin{align}
& 1\text{ dyne}=\dfrac{1}{9.80}\times {{10}^{-5}}\times {{10}^{3}}g \\
& \Rightarrow 1\text{ dyne}=\dfrac{1}{980}\text{ }g\text{ }wt. \\
\end{align}\]
Hence, the correct option is b.
Additional Informations:
Force is something that when applied changes the speed along with the motion of the object. Force is even responsible to change in velocity of any object that means if we apply some force on any object it results in the change in the path of speed along with the path of the object.
Note: Always note the values given in question carefully and by using applied formula do the calculation because a small change even in decimal value can affect your answer and turn it wrong.Students often make mistakes while converting kg into g. Usually they forget to convert and get the wrong answer.
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