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

An electric bulb is marked $100\ W, 230\ V$. If the supply voltage drops to $115\ V$,how much heat (in $J$) is produced by the bulb in $20\ min$?

Which of the following graphs correctly represents the variation of heat energy $(U)$ produced in a metallic conductor in a given time as a function of potential difference $(V)$ across the conductor?

An electric bulb marked $40\, W$ and $200\, V$,is used in a circuit of supply voltage $100\, V$. Now its power is (in $, W$)

Two electric bulbs have ratings $P_1 \text{ watt}, V \text{ volt}$ and $P_2 \text{ watt}, V \text{ volt}$. If they are connected in parallel to a $V \text{ volt}$ supply,the total power consumed will be:

Two electric bulbs $A$ and $B$ are rated as $60\, W$ and $100\, W$. They are connected in parallel to the same source. Then,

Vedclass Test Series

Exam Paper Generator

Online Exam Module