Physics, asked by PratyakshVyas5628, 11 months ago

Consider the following statements.
(A) The coefficient of linear expansion has dimension K–1.
(B) The coefficient of volume expansion has dimension K–1. (a) A and B are correct.
(b) A is correct but B is wrong.
(c) B is correct but A is wrong.
(d) A and B are wrong.

Answers

Answered by shilpa85475
2

(a) A and B are correct.  

Explanation:

  • The coefficient of linear expansion,
  • α = 1L△L△T
  • = [L][LT] =K-1
  • Initial length is L  
  • Change in length is △L  
  • Change in temperature is △T  
  • Whereas the coefficient of volume expansion,
  • γ=1V△V△T=[L3][L3T]=K-1
  • Where the,  
  • Initial volume is V  
  • Change in volume is △V  
  • Change in temperature is △T  
  • The S.I. unit of temperature is kelvin (K).
  • Thus, same dimensions are observed for the linear and volume expansion of the gas.
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