Question

prove 1erg=10⁷joule​

Answer 1

To prove:

1 joule = 10⁷ erg

Solution :

As we know,

1 joule = 1 Newton 1 meter

= 1 kg × 1 m/sec² 1 m

= 1000 g × 100 cm/sec² 100 cm

$\sf \: = 10{}^{5} \: g \: cm/sec {}^{2} \times 100 \\ \\ \sf \: = 10 {}^{5} \: dyne \: \: 10 {}^{2} cm \\ \\ \sf \: = 10 {}^{7} erg \\ \\ \therefore \: \boxed{ \sf \: 1 \: joule = 10 {}^{7} \: erg \: }$