Heat and Thermal ExpansionMedium
Question
A glass rod measured with a zinc scale, both being at 30oC appears to be of length 100cm. If the scale shows correct reading at 0oC that the true length of glass rod at 30oC and 0oC are : -
(αglass = 8 × 10-6 oC-1, αzinc = 26 × 10-6 K-1)
(αglass = 8 × 10-6 oC-1, αzinc = 26 × 10-6 K-1)
Options
A.100.054 cm, 100.054 cm
B.100.078 cm, 100.078 cm
C.100.078 cm, 100.54 cm
D.100.054 cm, 100.078 cm
Solution
At 30o true length is given by
= SR(1 + αzincᐃT)
= 100 (1 + 26 × 10-6 × 30) = 100.078 cm
At 0o true length is given by
=
= 100.054 cm
= SR(1 + αzincᐃT)
= 100 (1 + 26 × 10-6 × 30) = 100.078 cm
At 0o true length is given by
=
= 100.054 cm
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