A steel tape gives correct measurement at 20c piece of wood is being measured with the steel tape at 0c the reading is 25cm on the tape
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from data, coefficient of linear expansion of steel , = 1.2 × 10^-5 /°C
a/c to question, steel tape gives correct measurement at 20°C .
reading of tap is 25cm at 0°C
so,
now use formula,
so, L = 25[1 + 1.2 × 10^-5 (20°C - 0°C)]
or, L = 25[1 + 1.2 × 10^-5 × 20]
or, L = 25[ 1 + 2.4 × 10^-4 ]
or, L = 25[ 1 + 0.00024]
hence, L = 25 × 1.00024 = 25.006 cm
hence, length of steel tape is 25.006 cm
a/c to question, steel tape gives correct measurement at 20°C .
reading of tap is 25cm at 0°C
so,
now use formula,
so, L = 25[1 + 1.2 × 10^-5 (20°C - 0°C)]
or, L = 25[1 + 1.2 × 10^-5 × 20]
or, L = 25[ 1 + 2.4 × 10^-4 ]
or, L = 25[ 1 + 0.00024]
hence, L = 25 × 1.00024 = 25.006 cm
hence, length of steel tape is 25.006 cm
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Answer:
25.006m
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