NEET · Physics · STD 11 - 11. thermodynamics
An electric heater supplies heat to a system at a rate of 100 W. If the system performs work at a rate of 75 J/s, then the rate at which internal energy increases will be :
- A 75 W
- B 100 W
- C 125 W
- D 25 W
Answer & Solution
Correct Answer
(D) 25 W
Step-by-step Solution
Detailed explanation
(D) 25 W
According to the first law of thermodynamics:
\(\frac{d Q}{d t}=\frac{d U}{d t}+\frac{d W}{d t}\)
Given that the rate of heat supplied is \(\frac{d Q}{d t}=100 W\) and the rate of work done by the system is \(\frac{d W}{d t}=75 J / s =75\) W.
Substituting the values:
\(100=\frac{d U}{d t}+75\)
\(\frac{d U}{d t}=100-75=25 W\)
The rate at which internal energy increases is 25 W .
According to the first law of thermodynamics:
\(\frac{d Q}{d t}=\frac{d U}{d t}+\frac{d W}{d t}\)
Given that the rate of heat supplied is \(\frac{d Q}{d t}=100 W\) and the rate of work done by the system is \(\frac{d W}{d t}=75 J / s =75\) W.
Substituting the values:
\(100=\frac{d U}{d t}+75\)
\(\frac{d U}{d t}=100-75=25 W\)
The rate at which internal energy increases is 25 W .
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The ratio of the distances travelled by a freely falling body in the \(1^{\text {st }}, 2^{\text {nd }}, 3^{\text {rd }}\) and \(4^{\text {th }}\) second :NEET 2022 Medium
- Match List I with List II :
List I List-II (A) \(E=h \nu\) (I) de Broglie wavelength (B) Diffraction and Interference (II) Particle nature of light (C) \(\lambda=h / p\) (III) Wave nature of light (D) Compton effect (IV) Energy of photon
Choose the correct answer from the options given below:NEET 2026 Easy - Which colour of the light has the longest wavelength ?NEET 2019 Easy
- A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is \(20\; m/s^2\) at a distance of \(5\; m\) from the mean position. The time period of oscillation isNEET 2018 Medium
- A full wave rectifier circuit consists of two \(p-n\) junction diodes, a centre-tapped transformer, capacitor and a load resistance. Which of these components remove the ac ripple from the rectified output?NEET 2023 Easy
- Column \(- I\) gives certain physical terms associated with flow of current through a metallic conductor. Column \(- II\) gives some mathematical relations involving electrical quantities. Match Column \(- I\) and Column \(- II\) with appropriate relations.
Column \(- I\) Column \(- II\) \((A)\) Drift Velocity \((P)\) \(\frac{m}{n e^{2} \rho}\) \((B)\) Electrical Resistivity \((Q)\) \(\mathrm{ne} v_{\mathrm{d}}\) \((C)\) Relaxation Period \((R)\) \(\frac{\mathrm{eE}}{\mathrm{m}} \tau\) \((D)\) Current Density \((S)\) \(\frac{E}{J}\) NEET 2021 Medium
More PYQs from NEET
- A beam of light from a source \(L\) is incident normally on a plane mirror fixed at a certain distance \(x\) from the source. The beam is reflected back as a spot on a scale placed just above the source \(L.\) When the mirror is rotated through a small angle \(\theta\), the spot of the light is found to move through a distance \(y\) on the scale. The angle \(\theta\) is given byNEET 2017 Easy
- If an electron in a hydrogen atom jumps from the \(3^{rd}\) orbit to the \(2^{nd}\) orbit, it emits a photon of wavelength \(\lambda\). when it jumps from the \(4^{th}\) orbit to the \(3^{rd}\) orbit, the corresponding wavelength of the photon will beNEET 2016 Medium
- In a common emitter transistor amplifier the audio signal voltage across the collector is \(3\,\, V.\) The resistance of collector is \(3\,k\Omega \). If current gain is \(100\) and the base resistance is \(2\,k\Omega\), the voltage and power gain of the amplifierNEET 2017 Medium
- Arrange the following steps of somatic hybridisation in a correct sequence.
A. Digestion of cell walls.
B. Isolation of naked protoplasts.
C. Fusion of protoplasts to get hybrid protoplast.
D. Isolation of single cells from two different varieties of plants.
E. Growing of hybrid protoplast to form a new plant.
Choose the correct answer from the options given below :NEET 2026 Medium - Given below are two statements: Statement \(I\): Mitochondria and chloroplasts both double membranes bound organelles. Statement \(II\): Inner membrane of mitochondria is relatively less permeable, as compared chloroplast. In the light of the above statements, choose the mis appropriate answer from the options given below:NEET 2024 Medium
- Which of the following pairs shows highest bond dissociation enthalpy among halogens and lowest bond dissociation enthalpy among] hydrogen halides?NEET 2017 Medium