A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be

examrobotsa's picture
Q: 60 (NDA-I/2016)
A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,4,12,3,9,4,0

keywords: 

{'conductor': [0, 0, 1, 2], 'current': [0, 0, 0, 3], 'heat': [10, 3, 13, 46]}

When a conductor carries a current, it produces heat due to the resistance of the material. This heat can be calculated using the formula H = I^2 * R * t, where H is the amount of heat produced, I is the current, R is the resistance, and t is the time.

In this question, we are given that the conductor is carrying a current of 1 A and produces 2000 J of heat. We are asked what will happen to the amount of heat produced if the current is doubled.

To find the answer, we need to understand the relationship between current and heat production. According to the formula H = I^2 * R * t, we can see that heat is directly proportional to the square of the current (I^2). This means that if we double the current, the amount of heat produced will increase by a factor of 2^2 = 4.

Thus, doubling the current from 1 A to 2 A will result in four times the amount of heat being produced. Since 2000 J is the original amount of heat produced, doubling the current will result in 4 * 2000 J = 8000 J of heat being produced.

Therefore, option 3 (8000 J) is

Practice this on app