An iron bar of length l- cross section A and Young-s modulus Y is heated from 0- to 100oC- If this bar is held so that it is not permitted to expand- the force F that is developed- is proportional to -

The correct option is C l^0 α be its coefficient of expansion.If the wire was true, #160; Δ L = L α (100) But now it is not allowed to bend or ...

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Standard XII

Physics

Electric Field Due to a Line of Charge Not on Its Axis

An iron bar o...

Question

An iron bar of length l, cross section A and Young's modulus Y is heated from $0^{\circ}$ to $100^{o}$ C. If this bar is held so that it is not permitted to expand, the force F that is developed, is proportional to :

l

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\sqrt{l}

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l^{0}

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l^{- 1}

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Solution

The correct option is C $l^{0}$
$α$ be its coefficient of expansion.
If the wire was true, $Δ L = L α (100)$
But now it is not allowed to bend or expand.
Force developed $= \frac{100 L α A Y}{L}$ $= 100 α A Y$

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An iron bar of length l, cross section A and Young's modulus Y is heated from 0∘ to 100oC. If this bar is held so that it is not permitted to expand, the force F that is developed, is proportional to :

The correct option is C l0α be its coefficient of expansion.If the wire was true, ΔL=Lα(100)But now it is not allowed to bend or expand.Force developed =100LαAYL=100αAY

An iron bar of length l, cross section A and Young's modulus Y is heated from $0^{\circ}$ to $100^{o}$ C. If this bar is held so that it is not permitted to expand, the force F that is developed, is proportional to :

The correct option is C $l^{0}$
$α$ be its coefficient of expansion.
If the wire was true, $Δ L = L α (100)$
But now it is not allowed to bend or expand.
Force developed $= \frac{100 L α A Y}{L}$ $= 100 α A Y$