Home Physics Thermometry, Thermal Expansion and Calorimetry General Consider a metal scale of length 30 cm and a…
Physics Thermometry, Thermal Expansion and Calorimetry General MCQ (Single Correct)

Consider a metal scale of length 30 cm and an object. The scale is calibrated for temp 20ºC.

A
What is the actual length of division which is shown as 1 cm by scale at 40ºC. Given α s = 2×10 –5 /ºC.
B
What will be the reading of scale at 40ºC if the actual length of object is 10 cm. and and and
C
What will be the actual length of object at 40 ºC if its measured length is 10 cm. . (e) If the linear expansion coefficient of object is α 0 = 4 × 10 –5 and neglecting the expansion of scale, then answers of parts. (f) If α 0 = 4 × 10 –5 and α s = 2 × 10 –5 then find answers of part.
D
What is % error in measurement for part

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CHECK THE SOLUTION.

λ = 1 {1 + 2 × 10 – 5 ×20}

λ = 10 {1 – 4 × 10 – 4 }

λ = 10 {1 + 4×10 – 4 }

% λ 1 = – 4 × 10 – 2 %

% λ 2 = % ≈ – 4× 10 – 2 %

(e) λ 1 = 10 {1 + 20 × 4 × 10 – 5 }

λ 2 = 10 {1 – 20 × 4 × 10 – 5 }

(f) λ 1 = 10 {1 + 40 × 10 – 5 }

λ 2 = 10 {1 – 40 × 10 – 5 }

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