Which of the following statements is false?

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

Question

(C) According to Joule's law of heating,the heat produced $(H)$ in a conductor is given by the formula $H = I^2Rt$,where $I$ is the current,$R$ is the

Vedclass · Accepted Answer

Heat produced in a conductor is proportional to charge.

Vedclass · Answer

(C) According to Joule's law of heating,the heat produced $(H)$ in a conductor is given by the formula $H = I^2Rt$,where $I$ is the current,$R$ is the resistance,and $t$ is the time.From this formula,it is clear that $H \propto R$,$H \propto I^2$,and $H \propto t$.Since $I = \frac{q}{t}$,we can substitute this into the equation: $H = (\frac{q}{t})^2 Rt = \frac{q^2 R}{t}$.Therefore,$H$ is proportional to the square of the charge $(q^2)$ and inversely proportional to time $(t)$,not directly proportional to the charge $(q)$.Thus,the statement that heat produced is proportional to charge is false.

Similar Questions

Water boils in an electric kettle in $20$ minutes after being switched on. Using the same main supply,the length of the heating element should be . . . . . . to . . . . . . times of its initial length if the water is to be boiled in $15$ minutes.

Two conductors made of the same material are connected across a common potential difference. Conductor $A$ has twice the diameter and twice the length of conductor $B$. The power delivered to the two conductors $P_A$ and $P_B$ respectively is such that $P_A/P_B$ equals to

Define kilowatt hour and power.

$A$ $10\, V$ storage battery of negligible internal resistance is connected across a $50\,\Omega$ resistor. How much heat energy is produced in the resistor in $1$ hour? (in $J$)

Two electric bulbs rated $P_1 \text{ watt}, V \text{ volts}$ and $P_2 \text{ watt}, V \text{ volts}$ are connected in parallel and $V \text{ volts}$ are applied to the combination. The total power consumed will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module