JEE Mains · Physics · STD 11 - 10.2 transmission of heat
Two metallic blocks \(M_{1}\) and \(M_{2}\) of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of \(M _{2}\) is \(K\) then the thermal conductivity of \(M _{1}\) will be ]...............\(K\) [Assume steady state heat conduction]
- A \(10\)
- B \(8\)
- C \(12.5\)
- D \(2\)
Answer & Solution
Correct Answer
(B) \(8\)
Step-by-step Solution
Detailed explanation
\(\Delta T \propto R \propto \frac{\ell}{ k }\), \(\frac{\Delta T _{1}}{\Delta T _{2}}=\frac{\ell_{1}}{ k _{1}} \times \frac{ k _{2}}{\ell_{2}}=\frac{16}{ k _{1}} \times \frac{ k }{8}\) \(\frac{20}{80}=\frac{16}{ k _{1}} \times \frac{ k }{8} \rightarrow k _{1}=8 k\)
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
- Consider a badminton racket with length scales as shown in the figure.If the mass of the linear and circular portions of the badminton racket are same \((M)\) and the mass of the threads are negligible, the moment of inertia of the racket about an axis perpendicular to the handle and in the plane of the ring at, \(\frac{r}{2}\) distance from the end \(A\) of the handle will be ....... \(Mr^2\)?
JEE Mains 2021 Hard - A common transistor radio set requires \(12\,V (D.C.)\) for its operation. The \(D.C.\) source is constructed by using a transformer and a rectifier circuit, which are operated at \(220\, V\) \((A.C.)\) on standard domestic \(A.C.\) supply. The number of turns of secondary coil are \(24,\) then the number of turns of primary areJEE Mains 2021 Medium
- A solid metallic cube having total surface area \(24\;m ^{2}\) is uniformly heated. If its temperature is increased by \(10\,^{\circ} C\), calculate the increase in volume of the cube \(\left(\right.\) Given \(\left.: \alpha=5.0 \times 10^{-4}{ }^{\circ} C ^{-1}\right)\)JEE Mains 2022 Medium
- The current \(I_{1}\) (in \(A\)) flowing through \(1\; \Omega\) resistor in the following circuit is:
JEE Mains 2020 Medium - The diffraction pattern of a light of wavelength \(400\) \(\mathrm{nm}\) diffracting from a slit of width \(0.2 \mathrm{~mm}\) is focused on the focal plane of a convex lens of focal length \(100 \mathrm{~cm}\). The width of the \(1^{\text {st }}\) secondary maxima will be _______.JEE Mains 2024 Hard
- A proton with a kinetic energy of \(2.0\,eV\) moves into a region of uniform magnetic field of magnitude \(\frac{\pi}{2} \times 10^{-3}\,T\). The angle between the direction of magnetic field and velocity of proton is \(60^{\circ}\). The pitch of the helical path taken by the proton is \(..........cm\) (Take, mass of proton \(=1.6 \times 10^{-27}\,kg\) and Charge on proton \(=1.6 \times 10^{-19}\,kg)\)JEE Mains 2023 Medium
More PYQs from JEE Mains
- If \(\alpha \) and \( \beta \) are roots of the equation, \({x^2} - 4\sqrt 2\,kx + 2\,{e^{4\ln \,k}} - 1 = 0\) for some \(k\), and \({\alpha ^2} + {\beta ^2} = 66\), then \({\alpha ^3} + {\beta ^3}\) is equal toJEE Mains 2014 Hard
- The quantities \(\quad x=\frac{1}{\sqrt{\mu_{0} \epsilon_{0}}}, y=\frac{E}{B}\) and \(z=\frac{l}{C R}\) are defined where \(C-\) capacitance \(R-\)Resistance, \(l-\)length, \(E-\)Electric field, \(B-\)magnetic field and \(\varepsilon_{0}, \mu_{0},\) -free space permittivity and permeability respectively. Then....JEE Mains 2020 Hard
- Match List \(I\) with List \(II\)
Choose the correct answer from the options given below:List \(I\) List \(II\) \((A)\) Young's Modulus \((Y)\) \((I)\) \(\left[ M L ^{-1} T ^{-1}\right]\) \((B)\) Co-efficient of Viscosity \((\eta)\) \((II)\) \(\left[ M L ^2 T ^{-1}\right]\) \((C)\) Planck's Constant \((h)\) \((III)\) \(\left[ M L ^{-1} T ^{-2}\right]\) \((D)\) Work Function \((\phi)\) \((IV)\) \(\left[ M L ^2 T ^{-2}\right]\) JEE Mains 2023 Medium - For, \(\alpha, \beta, \gamma, \delta \in N\), if \(\int\left(\left(\frac{x}{e}\right)^{2 x}+\left(\frac{e}{x}\right)^{2 x}\right) \log _{ e } x d x=\frac{1}{\alpha}\left(\frac{ x }{ e }\right)^{\beta x}-\frac{1}{\gamma}\left(\frac{ e }{ x }\right)^{\delta x }+ C ,\) Where \(e =\sum \limits_{ n =0}^{\infty} \frac{1}{ n !}\) and \(C\) is constant of integration, then \(\alpha+2 \beta+3 \gamma-4 \delta\) is equal to:JEE Mains 2023 Hard
- Assuming the nitrogen molecule is moving with \(r.m.s.\) velocity at \(400\, K\), the de\(-\)Broglie wavelength of nitrogen molecule is close to\(......\mathring {A}\) (Given : nitrogen molecule weight : \(4.64 \times 10^{-26}\, kg ,\) Boltzman constant : \(1.38 \times 10^{-23}\, J / K ,\) Planck constant : \(\left.6.63 \times 10^{-34}\, J . s \right)\)JEE Mains 2020 Hard
- Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : In Young's double slit experiment, the fringes produced by red light are closer as compared to those produced by blue light.
Reason (R): The fringe width is directly proportional to the wavelength of light.
In the light of the above statements, choose the correct answer from the options given below.JEE Mains 2025 Easy