A steel ring of 3-000 inch inside diameter at 200 C is to be heated and slipped over a brass shaft measuring 3-002 inch in diameter at 200 C- To what temperature should the ring be heated- -steel -1-1 - 10-50 C -1A- 70-60 CB- 75-60 CC- 80-60 CD- 78-60 C

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Byju's Answer

Standard XII

Physics

Measuring Size

A steel ring ...

Question

A steel ring of 3.000 inch inside diameter at 20⁰C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20⁰ C. To what temperature should the ring be heated? (α_steel= 1.1 ×10^-50C^-1)

70.6⁰C

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75.6⁰C

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80.6⁰C

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78.6⁰C

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Solution

The correct option is B
75.6⁰C

let θ be the temperature to which the ring must be heated.
Final diameter of ring should be 3.002 inch.

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Similar questions

A steel ring of 3.000 inch inside diameter at 20⁰C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20⁰ C. To what temperature should the ring be heated? (α_steel= 1.1 ×10^-50C^-1)

Q. The inner diameter of a brass ring at

273 K

5 c m

.To what temperature should it be heated for it to accommodate a ball

5) 01 c m

in diameter.

(α = 2 \times 10^{- 5} /^{o} C)

Q. A steel rod is 3.000 cm in diameter at

25^{\circ} C

. A brass ring has an interior diameter of 2.992 cm at

25^{\circ} C

. At what common temperature will the ring just slide on to the rod.

α_{s t e e l} = 12 \times 10^{- 6} K^{- 1}

and

α_{b r a s s} = 18 \times 10^{- 6} K^{- 1}

Q. A steel rod is 3.000 cm in diameter at

25^{\circ} C

. A brass ring has an interior diameter of 2.992 cm at

25^{\circ} C

. At what common temperature will the ring just slide on to the rod.

α_{s t e e l} = 12 \times 10^{- 6} K^{- 1}

and

α_{b r a s s} = 18 \times 10^{- 6} K^{- 1}

Q. At

30^{\circ} C

, the hole in a steel plate has diameter of 0.99970 cm. A cylinder of diameter exactly 1 cm at

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is to be slide into the hole. To what temperature the plate must be heated ?
(Given:

α_{s t e e l} = 1.1 \times 10^{- 5} /^{o} C

)

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A steel ring of 3.000 inch inside diameter at 200C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 200 C. To what temperature should the ring be heated? (αsteel= 1.1 ×10-50C-1)

The correct option is B 75.60Clet θ be the temperature to which the ring must be heated.Final diameter of ring should be 3.002 inch.

A steel ring of 3.000 inch inside diameter at 20⁰C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20⁰ C. To what temperature should the ring be heated? (α_steel= 1.1 ×10^-50C^-1)

The correct option is B
75.6⁰C

let θ be the temperature to which the ring must be heated.
Final diameter of ring should be 3.002 inch.