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JEE Main 2009
Exam
JEE Main
Year
2009
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2009 · Physics · Thermal Properties of Matter

A long metallic bar is carrying heat from one of its ends to the...

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature θ\theta along the length xx of the bar from its hot end is best described by which of the following figure.A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation ofA long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation ofA long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation ofA long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of

Options

  1. AImage of an object approaching a convex mirror of radius of curvature 20 ~m along its optical axis is observed to move
  2. BImage of an object approaching a convex mirror of radius of curvature 20 ~m along its optical axis is observed to move
  3. CImage of an object approaching a convex mirror of radius of curvature 20 ~m along its optical axis is observed to move
  4. DImage of an object approaching a convex mirror of radius of curvature 20 ~m along its optical axis is observed to move

Correct answer

B. Image of an object approaching a convex mirror of radius of curvature 20 ~m along its optical axis is observed to move

Step-by-step solution

We know that dQdt=KAdθdx\frac{\mathrm{dQ}}{\mathrm{dt}}=\mathrm{KA} \frac{\mathrm{d} \theta}{\mathrm{dx}} In steady state flow of heat dθ=dQdt⋅1kA⋅dx⇒θH−θ=\mathrmk′x⇒θ=θH−\mathrmk′x\begin{aligned} \mathrm{d} \theta=\frac{\mathrm{dQ}}{\mathrm{dt}} \cdot \frac{1}{\mathrm{kA}} \cdot \mathrm{dx}\\ & \Rightarrow \theta_{\mathrm{H}}-\theta=\mathrmk^{\prime} \mathrm{x} \Rightarrow \theta=\theta_{\mathrm{H}}-\mathrmk^{\prime} \mathrm{x} \end{aligned} Equation θ=θH−k′x\theta=\theta_H-k^{\prime} x represents a straight line.
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