Question

2. An iron scale is calibrated at 0°C. The length of a
zinc rod is measured to be 100 cm by the scale when
the rod and the scale both are at 0°C. What will be
the length of the rod as measured by the scale when
both are at 100°C. Given : iron = 1.2 x 10 °C and
dezinc = 2.6 x 10-5c-​

Answer 1

The length of the rod as measured by the scale will be 100.14 cm.

Explanation:

=> In the beginning, the rod and the scale both are at 0°C. Iron scale and rod  both will expand at  100° C.

Suppose the length of zinc rod at  0 °C, Lz0 = 100 cm

αiron = 1.2 * 10⁻⁵ C⁻¹

αzink = 2.6 * 10⁻⁵ C⁻¹

=> The length of the rod as measured by the scale when  both are at 100°C as it undergoes thermal expansion itself,  L z t :

=  L z 0  { 1 + (  αzinc  −  α  Iron )  t  }

=  100  {1 + ( 2.6 × 10 ⁻⁵ −  1.2 × 10 ⁻⁵)  100 }

=  100  {1  +   ( 1.4 × 10 ⁻⁵ )10² }

=  100  { 1  +  1.4 * 10⁻³ }

=  100  {1  +  1.4/1000 }

= 100 { 1 + 0.0014}

=  100  { 1.0014 }

=  100.14  c m

Thus, the length of the rod as measured by the scale when  both are at 100°C will be 100.14 cm.

Learn more:

Q:1 A steel scale measures the length of a copper  wire as 80.0 cm, when both are at 20°C (the  calibration temperature for scale). What would  be the scale read for the length of the wire  when both are at 40°C? (Given Osteel  =11x10^-6 per°C and copper = 17x10^-6 per °C)​

Click here: https://brainly.in/question/12497589

Q:2 A steel tape 1m long is correctly calibrated for a temperature of 27.0 °C. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 °C. What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0 °C? Coefficient of linear expansion of steel = 1.20 × 10⁻⁵ K⁻¹.

Click here: https://brainly.in/question/1513664

Answer 2

Explanation:

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