Express the power of a 100-watt bulb in CGS unit.
Power = 100 W
Power is defined as the rate of dissipation of energy. Energy is expressed in Joules.
1 W = 1 Js-1
1 Joule is defined as the amount of energy exerted when a force of 1 N displaces an object by 1m.
1 J = 1 Nm
1 Newton of force can be converted into CGS units. The CGS equivalent is – 1 N = 105 dyne
1 meter is equal to 100 cm.
1 m = 100 cm
1 J = 1 Nm
= 105 dyne × 100 cm
= 107 dyne cm
1 W = 107 dyne cm/s
100 W = 100 × 107 dyne cm/s
= 109 dyne cm/s
1 dyne cm = 1 erg
1 erg = 10-7 J
So 100 W = 109 erg/s