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Standard XII

Physics

Thermal Expansion

Length of a s...

Question

Length of a steel $(α = 12 \times 10^{- 6} /^{o} C)$ rod which would have the same difference in length at all temperature with a copper $(α = 18 \times 10^{- 6} /^{o} C)$ rod of length 24 cm is

12 cm

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24 cm

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36 cm

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48 cm

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Solution

The correct option is C 36 cm

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Similar questions

Q. A brass rod and a steel rod are both measured at

0^{o} C

and their lengths found to be 120 cm and 120.2 cm respectively. At what temperature are their lengths equal?

(α_{b r a s s} = 12 \times 10^{- 6}^{o} C^{- 1}, α_{s t e e l} = 17 \times 10^{- 6}^{o} C^{- 1})

Q. (A): The coefficient of linear expansion of metal rod is

1.2 \times 10^{- 6} /^{o} C

. If the length of the metal rod is measured in kilometer instead of

c m

, the

α

value is again

24 \times 10^{- 6} /^{o} C

(B):

α

is independent of a unit of length.

Q. What should be lengths of steel and copper rod, so that the length of steel rod is

5 c m

longer than the copper rod at all temperatures? (

α

of copper

- 1.7 \times 10^{- 5}^{o} C^{- 1}

and

α

for steel

= 1.1 \times 10^{- 5}^{o} C^{- 1}

Q. A meter rod made of steel is correct at

0^{o} C

and other meter rod of same matrical is correct at

30^{o} C

. If

α = 12 \times 10^{- 6} /^{o} C

, the difference between their lengths at

20^{o} C

The lengths of steel and copper rods are so that the length of the steel rod is 5 cm longer than that of the copper rod at all temperatures, then length of each rod, are ( $α$ for copper = $1.7 \times 10^{- 5} /^{\circ} C$ and $α$ for steel = $1.1 \times 10^{- 5} /^{\circ} C$ ) -

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Length of a steel (α=12×10−6/oC) rod which would have the same difference in length at all temperature with a copper (α=18×10−6/oC) rod of length 24 cm is

The correct option is C 36 cm

Length of a steel $(α = 12 \times 10^{- 6} /^{o} C)$ rod which would have the same difference in length at all temperature with a copper $(α = 18 \times 10^{- 6} /^{o} C)$ rod of length 24 cm is