According to Joule's law, if the potential difference across a co… - Vidyadip

MCQ

According to Joule's law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportional to

A
$\rho $
B
${\rho ^2}$
C
$\frac{1}{{\sqrt \rho }}$
✓
$\frac{1}{\rho }$

✓

Answer

Correct option: D.

$\frac{1}{\rho }$

d
(d) $P = \frac{{{V^2}}}{R}$ but $R = \frac{{\rho l}}{A}$ $ \Rightarrow $ $P = \frac{{{V^2}}}{{\rho l/A}} = \frac{{A{V^2}}}{{\rho l}}$. Since $\frac{{A{V^2}}}{l}$is constant as per given conditions So $P \propto \frac{1}{\rho }$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A spherical black body with a radius of $12\ cm$ radiates $450\ watt$ power at $500\ K$. If the radius were halved and the temperature doubled, the power radiated in watt would be

Select the correct statement about electric charge

The instantaneous values of current and voltage in an ac circuit are $i = 100\sin 314\,t\,amp$ and $e = 200\sin \,(314\,t + \pi /3)V$ respectively. If the resistance is $1 \Omega$ then the reactance of the circuit will be

A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the $5^{th}$ sec to that covered in $5\, sec$ is

A train moves towards a stationary observer with a speed $34 \,m / s$. The train sounds a whistle and its frequency registered by the observer is $f_1$. If the speed of the train is reduced to $17 \,m / s$, the frequency registered is $f_2$. If the speed of sound is $340 \,m / s$ then the ratio $\frac{f_1}{f_2}$ is ..........

A machine gun fires a bullet of mass $40\, g$ with a velocity $1200\, ms^{-1}$. The man holding it, can exert maximum force of $144\, N$ on the gun. How many bullets can he fire per second at the most ?

Two resistors $400\, \Omega$ and $800\, \Omega$ are connected in series across a $6 V$ battery. The potential difference measured by a voltmeter of $10\, k \Omega$ across $400\, \Omega$ resistor is close to$....V$

In the system shown in the figure there is no friction anywhere. The block $C$ goes down by $a$ distance $x_0 = 10\, cm$ with respect to wedge $D$ when system is released from rest. The velocity of $A$ with respect to $B$ will be $(g = 10\, m/s^2)$ ......... $m/s$

A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence of $45^o $. The ray undergoes total internal reflection. If n is the refractive index of the medium with respect to air, select the possible value ($s$) of n from the following

A player caught a cricket ball of mass $150\ g$ moving at a rate of $20\ m/s$.If the catching process is completed in $0.1\ s $, the force of the blow exerted by the ball on the hand of the player is equal to .......... $N$