A rod is found to be 200 cm long at 40- C and 200-24 cm at 100-C- The coefficient of cubical expansion of the material is

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Standard XII

Physics

Area and Volume Expansion

A rod is foun...

Question

A rod is found to be 200 cm long at $40^{\circ} C$ and 200.24 cm at $100^{\circ} C$ . The coefficient of cubical expansion of the material is

2 \times 10^{- 5} /^{\circ} C

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6 \times 10^{- 5} /^{\circ} C

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3 \times 10^{- 5} /^{\circ} C

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4 \times 10^{- 5} /^{\circ} C

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Solution

The correct option is D $6 \times 10^{- 5} /^{\circ} C$
Change in length = (200.24 - 200)cm = 0.24 cm = 0.0024m
So change in length = initial length x $α Δ T$
Here $Δ T$ = 60K
Initial length = 2m
Putting all the values, we get $α$ = 6 x $10^{- 5}$

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A rod is found to be 200 cm long at 40∘C and 200.24 cm at 100∘C. The coefficient of cubical expansion of the material is

The correct option is D 6×10−5/∘CChange in length = (200.24 - 200)cm = 0.24 cm = 0.0024mSo change in length = initial length x αΔTHere ΔT = 60KInitial length = 2mPutting all the values, we get α = 6 x 10−5

A rod is found to be 200 cm long at $40^{\circ} C$ and 200.24 cm at $100^{\circ} C$ . The coefficient of cubical expansion of the material is

The correct option is D $6 \times 10^{- 5} /^{\circ} C$
Change in length = (200.24 - 200)cm = 0.24 cm = 0.0024m
So change in length = initial length x $α Δ T$
Here $Δ T$ = 60K
Initial length = 2m
Putting all the values, we get $α$ = 6 x $10^{- 5}$