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  • Four resistances carrying a current shown in Figure are immersed in a box containing ice at <img alt="0^{\circ} \mathrm{C}" src="https://entrancecorner.oncodecogs.com/gif.latex?0%5E%7B%5Ccirc%7D%20

Four resistances carrying a current shown in Figure are immersed in a box containing ice at 0^{\circ} \mathrm{C}. How much ice must be put in the box every 10 \mathrm{~min} to keep the average quantity of ice in the box constant? Latent heat of ice is 80 \mathrm{cal} \mathrm{g}^{-1}


 

Option: 1

1.190 \mathrm{~kg}


Option: 2

3.20 \mathrm{~kg}


Option: 3

4.2 \mathrm{~kg}


Option: 4

0.25 \mathrm{~kg}


Answers (1)

Net resistance of circuit, \mathrm{R=\frac{10 \times 5}{10+5}+\frac{10 \times 5}{10+5}=\frac{20}{3} \Omega}

Heat generated in circuit per minute is

\begin{aligned} &\mathrm{ Q=I^2 R t=(10)^2 \times \frac{20}{3} \times(10 \times 60)=4 \times 10^5 \mathrm{~J}=\frac{4 \times 10^5}{4.2 \times 10^3} \mathrm{kcal}} \\ &\mathrm{ m=\frac{Q}{L}=\frac{4 \times 10^5}{4.2 \times 10^3 \times 80}=1.19 \mathrm{~kg}}\\ \end{aligned}

Posted by

Sumit Saini

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