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JEE Main 202126 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Morning Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2021 · 26 August · Morning Shift · Physics · Thermodynamics

An electric appliance supplies 6000J min ^ - 1 , heat to the...

An electric appliance supplies 6000Jmin−16000J{min}^{- 1}, heat to the system. If the system delivers a power of 90W90W. How long it would take to increase the internal energy by 2.5×103J2 . 5 \times {10}^{3}J?An electric appliance supplies 6000J min ^ - 1 , heat to the system. If the system delivers a power of 90W . How long

Options

  1. A2.5×101s2 . 5 \times {10}^{1}s
  2. B2.5×102s2 . 5 \times {10}^{2}s
  3. C2.4×103s2 . 4 \times {10}^{3}s
  4. D4.1×101s4 . 1 \times {10}^{1}s

Correct answer

B. 2.5×102s2 . 5 \times {10}^{2}s

Step-by-step solution

An electric appliance supplies 6000J min ^ - 1 , heat to the system. If the system delivers a power of 90W . How long

Recall the formula of the first law of thermodynamics in terms of change in internal energy and work done by the system, \DeltaU=Q−W\DeltaU = Q - W, given, \DeltaU=2500J\DeltaU = 2500J, Q=600060×t=Q = \dfrac{6000}{60} \times t =\left(100t\right) \mid JandandW = P \times t = 90t,<br/>, <br />⇒ 2500J = 100tJ - 90tJ ⇒ t = 2 . 5 \times {10}^{2}s.

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