Question

Convert 1 arg into joule

Answer 1

Both Joule and erg are units of work/energy. The erg is the cgs unit of work/energy and Joule is MKS/ SI unit of the same.

By definition, 1 erg is the work done when a force of one dyne produces a displacement of 1 cm in an object in the direction of the force.

And one dyne is that force which produces an acceleration of 1 cm/s² in an object of 1 gm.

So one erg = 1 gm × 1 cm/s² × 1 cm.

By definition, one Joule is the work done by a force of 1 Newton in producing a displacement of 1 metre in an object in the direction of the force.

One Newton in turn is that force which produces in an object of 1 kg an acceleration of 1 m/s².

So 1 Newton = 1 kg × 1 m/s² = 1000 gm × 100 cm/s² = 10^5 dyne.

1 Joule = 1 Newton × 1 m displacement = 10 ^5 dyne × 100 cm displacement = 10^7 ergs.

1 Joule = 10^7 ergs.

Answer 2

Answer:

Please look at your Solution :-

$= > 1 \: erg = \frac{1}{{10}^{7} } \: joules$

$= > 1 \: joule = {10}^{7} \: erg$

$= > 1 \: joule = {10}^{5} \times {10}^{2} cm$

$= > 1 \: joule = {10}^{7} \: erg$