State which has a higher resistance,a 50 , W | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The resistance $R$ of an electrical appliance is given by the formula $R = \frac{V^2}{P}$,where $V$ is the voltage and $P$ is the power rating.Ass

Vedclass · Accepted Answer

$25 \, W$ bulb,$2$ times

Vedclass · Answer

(B) The resistance $R$ of an electrical appliance is given by the formula $R = \frac{V^2}{P}$,where $V$ is the voltage and $P$ is the power rating.Assuming the voltage $V$ remains constant for both bulbs,the relationship between resistance and power is inversely proportional,i.e.,$R \propto \frac{1}{P}$.For a $50 \, W$ bulb: $R_1 = \frac{V^2}{50}$.For a $25 \, W$ bulb: $R_2 = \frac{V^2}{25}$.Comparing the two: $\frac{R_2}{R_1} = \frac{V^2/25}{V^2/50} = \frac{50}{25} = 2$.Therefore,the $25 \, W$ lamp has double ($2$ times) the resistance of the $50 \, W$ lamp.

State which has a higher resistance,a $50 \, W$ or a $25 \, W$ lamp bulb,and by how many times?

Similar Questions

$A$ $100 \text{ W}$ electric bulb is lighted for $2 \text{ hours}$ daily,and four $40 \text{ W}$ bulbs are lighted for $4 \text{ hours}$ everyday. Calculate the energy consumed (in $\text{kWh}$) in $30 \text{ days}$.

$100 \, J$ of heat is produced each second in a $4 \, \Omega$ resistance. Find the potential difference across the resistor. (in $, V$)

Which type of metal or alloy cannot be used to prepare a fuse wire?

Nichrome is used to make the element of an electric heater. Why?

Power of a lamp is $60\, W$. Find the energy in joules consumed by it in $1\, s$. (in $, J$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module