Question

3 Anom
An aluminium scale ſa = 2.4 x 10-5 (Cº'l
calibrated at 25°C is measuring length of copper rod
[a = 1.7 x 10-5 (Cº)-1] at 125°C. If the reading
shown is 100 m, then the correct reading is
(1) 100.7 m
(2) 100.07 m
(3) 107 m
(4) 170 m​

Answer 1

Answer:

The correct reading is 100.24 m

Explanation:

As we know that the measured length is given as

$L_{measure} =$ (Total number of divisions)(Least count)

while actual length is given as

$L_{actual} =$(Total number of divisions)(Least count)($1 + \alpha\Delta T$)

so we have

$L_{actual} = L_{measured} \times (1 + \alpha_c \Delta T)$

$L_{actual} = 100 \times(1 + (2.4 \times 10^{-5})(125 - 25))$

so the actual length will be

$L_{actual} = 100.24 m$

#Learn

Topic : Thermal expansion

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