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

Question

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature θ along the length x of the bar from its hot end is best described by which of the following figure. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

We know that (dQ/dt)=KA (dθ/dx) In steady state flow of heat dθ =(dQ/dt). (1/kA).dx ⇒ θH-θ=k 'x ⇒ θ =θH-k 'x Equation Î¸ = Î¸H - k â² x represents a straight line.

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

We know that $\frac{d Q}{d t} = K A \frac{d θ}{d x}$
In steady state flow of heat
$d θ = \frac{d Q}{d t} . \frac{1}{k A} . d x$
$\Rightarrow θ_{H} - θ = k^{'} x \Rightarrow θ = θ_{H} - k^{'} x$
Equation $θ = θ_{H} - k' x$ represents a straight line.

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

We know that dtdQ​=KAdxdθ​ In steady state flow of heat dθ=dtdQ​.kA1​.dx ⇒θH​−θ=k′x⇒θ=θH​−k′x Equation θ=θH​−k′x represents a straight line.

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

We know that $\frac{d Q}{d t} = K A \frac{d θ}{d x}$
In steady state flow of heat
$d θ = \frac{d Q}{d t} . \frac{1}{k A} . d x$
$\Rightarrow θ_{H} - θ = k^{'} x \Rightarrow θ = θ_{H} - k^{'} x$
Equation $θ = θ_{H} - k' x$ represents a straight line.