Question

The resistance of 100 W bulb is less than resistance of 40 W bulb. Explain the reason

Answer 1

Answer:

Given:

2 bulbs of power ratings 100W and 40W has been provided.

To explain:

Resistance of 100 W bulb is lesser than that of 40W bulb.

Concept:

First of all let's consider that the bulbs have been connected in separate circuits , having the same terminal Voltage supplied by the battery.

In that case , we can say that , power ratings and Resistance of bulbs can be related as follows ;

$\boxed{ \boxed{power = \dfrac{ {(voltage)}^{2} }{resistance} }}$

Keeping Voltage constant , we can say ;

$\boxed{ \boxed{power \: \propto \: \dfrac{1}{resistance} }}$

So higher the resistance , lesser will be the power and vice - versa.

So 100 W bulb have lower resistance as compared to 40 W bulb.

Answer 2

$</p><p>\huge{\tt{\pink{Hello!!! }}}$

$</p><p>{\tt{\purple{\underline {The \: Resistance \: Of \: A \: 100 \: W \: Bulb \: Is \:less\: than\: resistance\: of\: 40 W\: bulb. }}}}$

$power \: = \: \frac{ {voltage}^{2} }{r}$

Power Is Inversely Proportional To Resistance.

Therefore higher the resistance, lower the power.

A 100 Watt Bulb has a higher power than a 40 Watt Bulb.

Hence it's resistance is lesser than the 40 Watt Bulb.

$</p><p>\huge{\tt{\orange{Hope \: This \: Helps!! }}}$