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Byju's Answer

Standard XII

Physics

Young's Modulus of Elasticity

When a rod is...

Question

When a rod is heated from $25^{\circ}$ to $75^{\circ}$ , it expands by 1 mm. When a rod of same material but with 4 times the length is heated from $25^{\circ}$ to $50^{\circ}$ . The increase in length is

1mm

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1.5 mm

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1.6 mm

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2 mm

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Solution

The correct option is D 2 mm
$Δ l = l_{0} α Δ T I m m = l_{0} α 50; Δ 1 = 4 l_{0} α .25 \Rightarrow Δ l = 4 \times \frac{l m m}{50} \times 25 = 2 m m$

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Similar questions

Q. When a rod is heated from

25^{\circ} C

75^{\circ} C,

it expands by

1 m m .

When a rod of same material but with 4 times the length is heated from

25^{\circ} C

50^{\circ} C .

The increase in length is :

Q. A metal rod A of 25 cm length expands by 0.050 cm when its temperature is raised from

0^{\circ} C

100^{\circ} C

. Another rod B of a different metal of length 40cm expands by 0.040 cm for the same rise in temperature. A third rod C of 50 cm length is made up of pieces of rods A and B placed end to end expands by 0.03 cm on heating from

0^{\circ} C

50^{\circ} C

. Find the lengths of each portion of the composite rod.

Q. A metal rod of

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0.075 cm

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0^{\circ} C

100^{\circ} C

. Another rod of different metal of length

45 cm

expands by

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for the same rise in temperature. A composite rod

C

made by joining

A

and

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and it is heated from

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50^{\circ} C

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Q. A metal rod

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expands by

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for the same rise in temperature. A third rod

C

50 c m

length is made up of pieces of rods

A

and

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placed end to end expands by

0.03 c m

on heating from

0^{\circ} C

50^{\circ} C

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Q. When a thin rod of length l is heated from

t_{1}^{\circ} C

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length increases by 1%. If plate of length 2 l and breadth l made of same material is heated form

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, percentage increase in area is

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When a rod is heated from 25∘ to 75∘, it expands by 1 mm. When a rod of same material but with 4 times the length is heated from 25∘ to 50∘. The increase in length is

The correct option is D 2 mmΔl=l0αΔTImm=l0α50;Δ1=4l0α.25⇒Δl=4×lmm50×25=2mm

When a rod is heated from $25^{\circ}$ to $75^{\circ}$ , it expands by 1 mm. When a rod of same material but with 4 times the length is heated from $25^{\circ}$ to $50^{\circ}$ . The increase in length is

The correct option is D 2 mm
$Δ l = l_{0} α Δ T I m m = l_{0} α 50; Δ 1 = 4 l_{0} α .25 \Rightarrow Δ l = 4 \times \frac{l m m}{50} \times 25 = 2 m m$