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A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A potential difference of 4.0 V is applied across it for 120s. If the resistor is thermally insulated, what is the final rise in temperature? A. 8.0 x 10-4 K B. 3.2 x 10-3 K C. 9.6 x 10-2 K D. 0.38 K E. 9.6 K?
Most Upvoted Answer
A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A ...
Solution:



Given:


Resistance of the resistor, R = 1.0 kΩ


Thermal capacity of the resistor, C = 5.0 JK-1


Potential difference applied across the resistor, V = 4.0 V


Time for which the potential difference is applied, t = 120 s


The resistor is thermally insulated.



To find:


The final rise in temperature of the resistor.



Formula used:


The amount of heat generated, Q = V²/R


The amount of heat generated, Q = mCΔT


Where,


m - mass of the resistor


C - specific heat capacity of the resistor


ΔT - change in temperature of the resistor



Calculation:


The amount of heat generated in the resistor, Q = V²/R


Q = (4.0)²/(1.0 × 10³) = 1.6 × 10⁻³ J


The amount of heat generated can also be calculated as:


Q = mCΔT


ΔT = Q/mC


As the mass of the resistor is not given, we cannot directly use this formula.


But, we can relate the thermal capacity to the mass using the following formula:


C = mc


Where,


c - specific heat capacity of the resistor


Using this formula, we get:


m = C/c = 5.0/(1.0 × 10³) = 5.0 × 10⁻³ kg


Now, using the formula, Q = mCΔT


ΔT = Q/mC


ΔT = (1.6 × 10⁻³)/(5.0 × 10⁻³ × 1.0)


ΔT = 0.32 K



Therefore, the final rise in temperature of the resistor is 0.32 K.



Answer:


Option B: 3.2 x 10⁻³ K.
Community Answer
A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A ...
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A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A potential difference of 4.0 V is applied across it for 120s. If the resistor is thermally insulated, what is the final rise in temperature? A. 8.0 x 10-4 K B. 3.2 x 10-3 K C. 9.6 x 10-2 K D. 0.38 K E. 9.6 K?
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A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A potential difference of 4.0 V is applied across it for 120s. If the resistor is thermally insulated, what is the final rise in temperature? A. 8.0 x 10-4 K B. 3.2 x 10-3 K C. 9.6 x 10-2 K D. 0.38 K E. 9.6 K? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A potential difference of 4.0 V is applied across it for 120s. If the resistor is thermally insulated, what is the final rise in temperature? A. 8.0 x 10-4 K B. 3.2 x 10-3 K C. 9.6 x 10-2 K D. 0.38 K E. 9.6 K? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A potential difference of 4.0 V is applied across it for 120s. If the resistor is thermally insulated, what is the final rise in temperature? A. 8.0 x 10-4 K B. 3.2 x 10-3 K C. 9.6 x 10-2 K D. 0.38 K E. 9.6 K?.
Solutions for A resistor of resistance 1.0 kΩ has a thermal capacity of 5.0 JK-1. A potential difference of 4.0 V is applied across it for 120s. If the resistor is thermally insulated, what is the final rise in temperature? A. 8.0 x 10-4 K B. 3.2 x 10-3 K C. 9.6 x 10-2 K D. 0.38 K E. 9.6 K? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
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