If the length of the filament of a heater is | vedclass

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

Question

(B) The power $P$ of a heater is given by the formula $P = \frac{V^2}{R}$,where $V$ is the voltage and $R$ is the resistance of the filament.Since the

Vedclass · Accepted Answer

increase by about $11\%$

Vedclass · Answer

(B) The power $P$ of a heater is given by the formula $P = \frac{V^2}{R}$,where $V$ is the voltage and $R$ is the resistance of the filament.Since the resistance $R$ is directly proportional to the length $L$ of the filament $(R = \rho \frac{L}{A})$,reducing the length by $10\%$ means the new length $L' = 0.9L$.Therefore,the new resistance $R'$ becomes $R' = 0.9R$.The new power $P'$ is given by $P' = \frac{V^2}{R'} = \frac{V^2}{0.9R} = \frac{1}{0.9} P \approx 1.111P$.This represents an increase of approximately $11\%$ in the power of the heater.

If the length of the filament of a heater is reduced by $10\%$,the power of the heater will

Similar Questions

Three rods of same dimensions have thermal conductivities $3K$,$2K$,and $K$. They are arranged as shown in the figure. In the steady state,the temperature of the junction $P$ is

Which of the following hormones does not naturally occur in plants?

The number of waves made by an electron moving in an orbit having a maximum magnetic quantum number $(m_l) = +3$ is:

The number of lone pairs of electrons present on $Xe$ in $XeF_4$ is

If the straight lines $2x + 3y - 1 = 0$,$x + 2y - 1 = 0$ and $ax + by - 1 = 0$ form a triangle with the orthocentre at the origin,then $(a, b) =$

Vedclass Test Series

Exam Paper Generator

Online Exam Module