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A 40 W bulb is used for 15 minutes. Calculate the heat generated.

Physics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. Identify the given values.

    The power of the bulb (PP) is 40 W40 \, \text{W}.
    The time (tt) the bulb is used is 900 s900 \, \text{s}.
    The voltage (V=120 VV = 120 \, \text{V}) is given but not needed for this calculation since power is already provided.

  2. Use the formula for heat generated.

    The heat generated (QQ) by an electrical appliance is the product of its power and the time it is used.

    Q=P×tQ = P \times t
  3. Substitute the values and calculate the heat generated.

    Q=40 W×900 sQ = 40 \, \text{W} \times 900 \, \text{s} Q=36000 JQ = 36000 \, \text{J}
  4. Express the answer in scientific notation and compare with the options.

    Q=3.6×104 JQ = 3.6 \times 10^4 \, \text{J}

    Comparing this result with the given options:
    (A) 1.8×105 J1.8 \times 10^5 \, \text{J}
    (B) 3.6×104 J3.6 \times 10^4 \, \text{J}
    (C) 4.8×104 J4.8 \times 10^4 \, \text{J}
    (D) 6.2×104 J6.2 \times 10^4 \, \text{J}

    The calculated heat generated matches option (B).

    The final answer is B) 3.6×104 J\boxed{\text{B) } 3.6 \times 10^4 \, \text{J}}.

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