A steel scale gives correct reading at t1 ^∘ C. When temperature changes to t2 ^∘ C, then : (a)

step 1 Hello students in this question we have a steel scale which gave correct reading at temperature

A steel scale gives correct reading at t1 ^∘ C. When...

A steel scale gives correct reading at $t_{1}{ }^{\circ} \mathrm{C}$. When temperature changes to $t_{2}{ }^{\circ} \mathrm{C}$, then : (a) if $t_{2}>t_{1}$, reading is greater than true value (b) if $t_{2}>t_{1}$, reading is lesser than true value (c) the reading is always equal to true value (d) the reading is always less than true value

A steel scale gives correct reading at $t_{1}{ }^{\circ} \mathrm{C}$. When temperature changes to $t_{2}{ }^{\circ} \mathrm{C}$, then :
(a) if $t_{2}>t_{1}$, reading is greater than true value
(b) if $t_{2}>t_{1}$, reading is lesser than true value
(c) the reading is always equal to true value
(d) the reading is always less than true value

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Key Concepts

Thermal Expansion

Thermal expansion refers to the phenomenon in which materials change their dimensions in response to a change in temperature. In the context of the steel scale, as the temperature increases, the steel expands, altering the spacing between the scale markings. This physical change can lead to errors in measurement if the scale is calibrated at a different temperature than the one at which it is currently being used.

Scale Calibration

Scale calibration involves setting a measurement device to a known standard, ensuring that the readings are accurate under specific conditions. In this scenario, the steel scale gives a correct reading at a particular temperature (t1 °C). When the temperature changes, the calibration becomes less accurate because the physical dimensions of the scale change, resulting in a discrepancy between the scale reading and the true value.

Coefficient of Linear Expansion

The coefficient of linear expansion is a material-specific parameter that quantifies how much a material will expand or contract per unit length for a unit change in temperature. It is crucial in calculating the extent of expansion or contraction that occurs due to temperature variations, thereby providing a quantitative measure of the scale's dimensional changes and the associated impact on measurement accuracy.

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