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Byju's Answer

Standard XII

Physics

Speed of Efflux

When a rod is...

Question

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

1mm

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1.5mm

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1.6mm

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2mm

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Solution

The correct option is D 2mm
$Δ l = l_{0} α Δ T$

$1 m m = l_{0} α 50; Δ l = 4 l_{0} α .25$

$\Rightarrow Δ l = 4 \times \frac{1 m m}{50} \times 25 = 2 m m$

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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

30 cm

length expands by

0.075 cm

when its temperature is raised from

0^{\circ} C

100^{\circ} C

. Another rod of different metal of length

45 cm

expands by

0.045 cm

for the same rise in temperature. A composite rod

C

made by joining

A

and

B

end to end expands by

0.040 cm

when its length is

45 cm

and it is heated from

0^{\circ} C

50^{\circ} C

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

Q. A metal rod

A

25 c m

lengths expands by

0.050 c m

. When its temperature is raised from

0^{\circ} C

100^{\circ} C

. Another rod

B

of a different metal of length

40 c m

expands by

0.040 c m

for the same rise in temperature. A third rod

C

50 c m

length is made up of pieces of rods

A

and

B

placed end to end expands by

0.03 c m

on heating from

0^{\circ} C

50^{\circ} C

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

Q. A metal rod of

30 cm

length expands by

0.075 cm

when its temperature is raised from

0^{\circ} C

100^{\circ} C

. Another rod of different metal of length

45 cm

expands by

0.045 cm

for the same rise in temperature. A composite rod

C

made by joining

A

and

B

end to end expands by

0.040 cm

when its length is

45 cm

and it is heated from

0^{\circ} C

50^{\circ} C

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

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

The correct option is D 2mmΔl=l0αΔT 1mm=l0α50; Δl=4l0α.25 ⇒ Δl=4×1mm50×25=2mm

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

The correct option is D 2mm
$Δ l = l_{0} α Δ T$

$1 m m = l_{0} α 50; Δ l = 4 l_{0} α .25$

$\Rightarrow Δ l = 4 \times \frac{1 m m}{50} \times 25 = 2 m m$