A wire with a resistance of 25 carries an electric current of 2.0 A . Determine the amount of heat developed in 1 minute.

Correct answer: D. 6000 J Given: Resistance of the wire, R = 25 Current, I = 2.0 A Time, t = 1 minute = 60 s The amount of heat developed is given by Joule's law of heating: H = I^2 R t Substituting the given values: H = (2.0)^2 × 25 × 60 H = 4 × 25 × 60 H = 100 × 60 H = 6000 J

Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Thermal and Chemical Effects of Electric Current

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Thermal and Chemical Effects of Electric Current

A wire with a resistance of 25 carries an electric current of 2.0 A...

A wire with a resistance of

25 \Omega

carries an electric current of

2.0 \text{ A}

. Determine the amount of heat developed in

1

minute.

Options

A $50 \text{ J}$
B $3000 \text{ J}$
C $100 \text{ J}$
D $6000 \text{ J}$

Correct answer

D. $6000 \text{ J}$

Step-by-step solution

Given:

Resistance of the wire,

R = 25 \Omega

Current,

I = 2.0 \text{ A}

Time,

t = 1 \text{ minute} = 60 \text{ s}

The amount of heat developed is given by Joule's law of heating:

H = I^2 R t

Substituting the given values:

H = (2.0)^2 \times 25 \times 60

H = 4 \times 25 \times 60

H = 100 \times 60

H = 6000 \text{ J}

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