Q135 / 170 · Manipal (MET) 2020 · Physics

An electric current of 2 A passes through a wire of resistance $25 \Omega$. How much heat will be generated in 1 min ?

  • Correct answer
    A
    $6 \times 10^3 \mathrm{~J}$
  • B
    $3.6 \times 10^3 \mathrm{~J}$
  • C
    $0.6 \times 10^3 \mathrm{~J}$
  • D
    $0.36 \times 10^3 \mathrm{~J}$

Solution

Given, $I=2.0 \mathrm{~A}$ $R=25 \Omega$ $t=1 \mathrm{~min}=60 \mathrm{~s}$ $\therefore$ Heat produced, $H=I^2 R t$ $\begin{aligned} & =(2)^2 \times 25 \times 60 \\ & =4 \times 25 \times 60 \mathrm{~J} \\ & =6 \times 10^3 \mathrm{~J}\end{aligned}$

Hence, the correct answer is option: 'A'.

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