A steel tapes gives correct measurement at 20 degree Celsius a piece of wood is being measured with the Steel tape at 0 degree Celsius the reading is 25cm on the tape ,the real length of the given piece of wood must be
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Since temperature is decreased, length of the steel tape will decrease.
So whatever we will measure will show more than the a actual length.
So the real length of wood must be less.
So whatever we will measure will show more than the a actual length.
So the real length of wood must be less.
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Length of steel tape is 25.006 cm
Reading on the tape = Lo = a = 25cm (Given)
Correct measurement = 20° (Given)
Temperature measurement = 0° (Given)
Coefficient of linear expansion of steel = 1.2 × 10`-5 /°C
According to the formula - L = Lo ( 1 + aΔT)
Therefore,
L = 25[1 + 1.2 × 10`-5 (20 - 0)]
L = 25[1 + 1.2 × 10`-5 × 20]
L = 25[ 1 + 2.4 × 10`-4 ]
L = 25[ 1 + 0.00024]
L = 25 × 1.00024
= 25.006
Therefore, the length of steel tape is 25.006 cm
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