Which of the following options of statements related to linear expansion are true?
(a) Increase in length of a wire or a rod due to increase in temperature,
(b) 12 = 4(1+2 AT)
(c) Lambda is called the coefficient of linear expansion of the solid substance.
(d) Lambda is the constant of proportionality.
(1) a, b & c
(2) a, c&d
(3) b, c&d
(4) a, b, c&d
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To find:
True statements in the given options.
Solution:
- Increase in length of a wire or a rod occurs due to increase in temperature:- yes, this statement is true.
- The new length due to ∆T change in temperature will be given as :
So, 2nd statement is true.
- is coefficient of linear expansion of the solid; it is a materialistic property and has a constant value for a particular solid substance. So, 3rd statement is also true.
- Initially, the change in length was calculated as follows:
From here, a constant was introduced, hence 4th statement is also correct.
Hope It Helps.
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i don't no in this question answer
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