(D) Given the thermo emf equation: $V = 10 \times 10^{-6} t - \frac{1}{40} \times 10^{-6} t^2$. To find the neutral temperature $(t_n)$, we differenti

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(D) Given the thermo emf equation: $V = 10 \times 10^{-6} t - \frac{1}{40} \times 10^{-6} t^2$. To find the neutral temperature $(t_n)$, we differentiate $V$ with respect to $t$ and set it to zero: $\frac{dV}{dt} = 10 \times 10^{-6} - \frac{2}{40} \times 10^{-6} t = 0$. $10 \times 10^{-6} = \frac{1}{20} \times 10^{-6} t_n$. $t_n = 200^{\circ} C$. To find the maximum thermo emf $(V_{\max})$, we substitute $t_n = 200^{\circ} C$ into the original equation: $V_{\max} = 10 \times 10^{-6} (200) - \frac{1}{40} \times 10^{-6} (200)^2$. $V_{\max} = 2 \times 10^{-3} - \frac{40000}{40} \times 10^{-6} = 2 \times 10^{-3} - 1 \times 10^{-3} = 1 \times 10^{-3} \text{ V} = 1 \text{ mV}$.

Class 12 Physics Current Electricity Mix Examples-Current Electricity

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If the cold junction is held at $0^{\circ} C$, the thermo emf $V$ of a thermocouple varies as $V = 10 \times 10^{-6} t - \frac{1}{40} \times 10^{-6} t^2$, where $t$ is the temperature of the hot junction in $^{\circ} C$. The neutral temperature and the maximum value of thermo emf are respectively:

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A
$200^{\circ} C ; 2 \text{ mV}$
B
$400^{\circ} C ; 2 \text{ mV}$
C
$100^{\circ} C ; 1 \text{ mV}$
D
$200^{\circ} C ; 1 \text{ mV}$

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Silver and copper voltameters are connected in parallel with a battery of $e.m.f.$ $12\, V$. In $30$ minutes,$1\, g$ of silver and $1.8\, g$ of copper are liberated. The power supplied by the battery is ...................... $J/s$ ($Z_{Cu} = 6.6 \times 10^{-4}\,g/C$ and $Z_{Ag} = 11.2 \times 10^{-4}\,g/C$).

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In an electroplating experiment,a current of $4 \ A$ is passed for $2 \ min$ to deposit a mass $m$ of silver. If a current of $6 \ A$ is passed for $40 \ s$,the mass of silver deposited is:

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The temperature coefficient of resistance of tungsten is $4.5 \times 10^{-3} \, ^{\circ}C^{-1}$ and that of germanium is $-5 \times 10^{-2} \, ^{\circ}C^{-1}$. $A$ tungsten wire of resistance $100 \, \Omega$ is connected in series with a germanium wire of resistance $R$. The value of $R$ for which the resistance of the combination does not change with temperature is .......... $\Omega$.

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The heat evolved or absorbed at the junction when an electric current passes through the junction of two different metals is known as which effect?

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Match the List-$I$ with the List-$II$ from the combination shown. In the left side (List-$I$) there are four different conditions and in the right side (List-$II$), there are ratios of heat produced in each resistance for each condition:
List-$I$ List-$II$
$(I)$ Two wires of same resistance are connected in series and same current is passed through them $(A)$ $1:2$
$(II)$ Two wires of resistance $R$ and $2R$ $\Omega$ are connected in series and same $P.D.$ is applied across them $(B)$ $4:1$
$(III)$ Two wires of same resistance are connected in parallel and same current is flowing through them $(C)$ $1:1$
$(IV)$ Two wires of resistances in the ratio $1:2$ are connected in parallel and same $P.D.$ is applied across them $(D)$ $2:1$

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List-$I$	List-$II$
$(I)$ Two wires of same resistance are connected in series and same current is passed through them	$(A)$ $1:2$
$(II)$ Two wires of resistance $R$ and $2R$ $\Omega$ are connected in series and same $P.D.$ is applied across them	$(B)$ $4:1$
$(III)$ Two wires of same resistance are connected in parallel and same current is flowing through them	$(C)$ $1:1$
$(IV)$ Two wires of resistances in the ratio $1:2$ are connected in parallel and same $P.D.$ is applied across them	$(D)$ $2:1$

If the cold junction is held at $0^{\circ} C$, the thermo emf $V$ of a thermocouple varies as $V = 10 \times 10^{-6} t - \frac{1}{40} \times 10^{-6} t^2$, where $t$ is the temperature of the hot junction in $^{\circ} C$. The neutral temperature and the maximum value of thermo emf are respectively:

Similar Questions

In an electroplating experiment,a current of $4 \ A$ is passed for $2 \ min$ to deposit a mass $m$ of silver. If a current of $6 \ A$ is passed for $40 \ s$,the mass of silver deposited is:

The heat evolved or absorbed at the junction when an electric current passes through the junction of two different metals is known as which effect?

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