CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Heat Capacity

If 2 wire o...

Question

If $2$ wire of length $L_{1}$ and $L_{2}$ and Young's modulus $Y_{1}$ and $Y_{2}$ are in series then effective Young's modulus is

A

\frac{y_{1} L_{1} + y_{2} L_{2}}{L_{1} + L_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{y_{1} L_{2} + y_{2} L_{1}}{L_{1} + L_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

\frac{y_{1} y_{2} (L_{1} + L_{2})}{L_{1} y_{2} + L_{2} y_{1}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

\frac{y_{1} + y_{2}}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{y_{1} y_{2} (L_{1} + L_{2})}{L_{1} y_{2} + L_{2} y_{1}}$
$\begin{matrix} we know & k = \frac{F}{Δ L} k = & \frac{y_{A}}{L} \end{matrix}$
$\begin{matrix} ∴ y & = \frac{F L}{A Δ L} Δ L & = \frac{F L}{A Y} \end{matrix}$
$\Rightarrow \frac{\frac{1}{k e q}}{\Rightarrow \frac{L e q}{K_{1}} + \frac{1}{K_{2}}} Y_{e q} A = \frac{L_{1}}{y_{1} A} + \frac{L_{2}}{Y_{2} A} \Rightarrow Y_{e q} = \frac{(L_{1} + L_{2}) y_{1} y_{2}}{L_{1} Y_{2} + L_{2} Y_{1}}$

Suggest Corrections

thumbs-up

1

Similar questions

Q. A circuit contains two inductors of self-inductance

L_{1}

L_{2}

in series (see figure). If

M

is the mutual inductance, then the effective inductance of the circuit shown will be

Q. Two elastic rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature is -

(α_{1}, α_{2}

= linear expansion coefficient,

A_{1}, A_{2}

= Area of rods,

Y_{1}, Y_{2}

= Young's modulus,

L_{1}, L_{2}

Q. AB, AC are tangents to a parabola

y^{2} = 4 a x

l_{1}, l_{2} . l_{3}

are the lengths of perpendiculars from A, B, C on any tangent to the parabola, then

L_{1}

L_{2}

are the length of the segments of any focal chord of the parabola

y^{2} = x

\frac{1}{L_{1}} + \frac{1}{L_{2}}

L_{1}

be a tangent to the parabola

y^{2} = 4 (x + 1)

L_{2}

be a tangent to the parabola

y^{2} = 8 (x + 2)

L_{1}

L_{2}

intersect at right angles. Then

L_{1}

L_{2}

meet on the straight line:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Thermodynamic Processes

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon