MHT CET · Physics · Thermal Properties of Matter
A body cools from \(60^{\circ} \mathrm{C}\) to \(40^{\circ} \mathrm{C}\) in 6 minutes. After next 6 minutes its temperature will be (Temperature of the surroundings is \(10^{\circ} \mathrm{C}\) )
- A \(24^{\circ} \mathrm{C}\)
- B \(28^{\circ} \mathrm{C}\)
- C \(18^{\circ} \mathrm{C}\)
- D \(32^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(28^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\(\frac{T_1 - T_2}{\Delta t_1} = k\left(\frac{T_1 + T_2}{2} - T_s\right) \Rightarrow \frac{60 - 40}{6} = k\left(\frac{60 + 40}{2} - 10\right) \Rightarrow \frac{20}{6} = 40k \Rightarrow k = \frac{1}{12}\) \(\frac{T_2 - T_3}{\Delta t_2} = k\left(\frac{T_2 + T_3}{2} - T_s\right) \Rightarrow \frac{40 - T_3}{6} = \frac{1}{12}\left(\frac{40 + T_3}{2} - 10\right)\)
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
- A voltmeter of resistance \(150 \Omega\) connected across a cell of e.m.f. \(3 \mathrm{~V}\) reads \(2.5 \mathrm{~V}\). What is the internal resistance of the cell?MHT CET 2023 Medium
- A mass ' \(M\) ' is suspended from a light spring. An additional mass \(\mathrm{M}_1\) added extends the spring further by a distance ' \(\mathrm{x}\) '. Now the combined mass will oscillate on the spring with period \(\mathrm{T}=\)MHT CET 2023 Hard
- Two sources of sound are emitting progressive waves \(y_1=4 \sin 710 \pi t\) and \(y_2=3 \sin 702 \pi t\). The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and waning are respectivelyMHT CET 2025 Medium
- When a d.c voltage of \(200 \mathrm{~V}\) is applied to a coil of self-inductance \(\left(\frac{2 \sqrt{3}}{\pi}\right) \mathrm{H}\), a current of 1A flows through it. But by replacing d.c. source with a.c. source of \(200 \mathrm{~V}\), the current in the coil is reduced to \(0.5 \mathrm{~A}\). Then the frequency of a.c. supply isMHT CET 2021 Hard
- In communication system the process of superimposing a low frequency signal on a high frequency wave is known asMHT CET 2017 Easy
- The output of an 'OR' gate is connected to both the inputs of a 'NAND' gate. The combination will serve asMHT CET 2023 Easy
More PYQs from MHT CET
- The p.d.f. of a random variable \(\mathrm{X}\) is given by \(f(x)=\frac{k}{\sqrt{x}}\) if \(0 \leq x \leq 4\) \(=0\) otherwise, then \(\mathrm{P}(1 < X < 4)=\)MHT CET 2020 Easy
- If \(y=\tan ^{-1}\left(\frac{2+3 x}{3-2 x}\right)+\tan ^{-1}\left(\frac{4 x}{1+5 x^2}\right)\), then \(\frac{\mathrm{d} y}{\mathrm{~d} x}=\)MHT CET 2024 Easy
- The area bounded by the parabola \(y^2=x\) and the line \(x+y=2\) in the first quadrant isMHT CET 2021 Medium
- The charge which will flow through a galvanometer of resistance \(200 \Omega\) connected to a \(400 \Omega\) circular coil of 1000 turns wound on a wooden stick \(20 \mathrm{~mm}\) in diameter, if a magnetic field \(\mathrm{B}=0.012 \mathrm{~T}\) parallel to the axis of the stick decreased suddenly to zero is nearlyMHT CET 2022 Medium
- If the line \(x-2 y=\mathrm{m}(\mathrm{m} \in \mathrm{Z})\) intersects the circle \(x^2+y^2=2 x+4 y\) at two distinct points, then the number of possible values of \(\mathrm{m}\) areMHT CET 2023 Medium
- Which of following polymer does not contain
MHT CET 2024 Medium