An electric toaster has resistance of 60 Ω at room temperature 27 ° C . The toaster is connected to a 220 V…

An electric toaster has resistance of 60 Ω at room temperature 27 °C. The toaster is connected to a 220 V supply. If the current flowing through it reaches 2.75 A, the temperature attained by toaster is around: (if α=2×10-4 C-1∘ )
  1. 694°C
  2. 1235°C
  3. 1694°C
  4. 1667°C

Solution

Resistance at 27 °C, RT=27=60 Ω.

Final resistance, RT=2202.75=80 Ω.

Now, we can write R=R0(1+αΔT)

⇒80=601+2×10-4( T-27)

⇒T≈1694°C

Asked in: JEE Main 2024 (30 Jan Shift 1)

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