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Three liquids A,B and C having same spec...

Three liquids A,B and C having same specific heat and mass m , 2m and 3m have temperature `20^@C, 40^@C and 60^@C` respectively. Temperature of the mixture when :
`{:("Column -I","Column -II"),("A) A and B are mixed,is at","P)" 35^@C),("B) A and C are mixed , is at ","Q)" 52^@C),("C) B and C are mixed , is at ","Q)" 50^@C),("D) A , B and C all three are mixed , is at ","S)"45^@C),(,"T) None"):}`

Text Solution

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The correct Answer is:
A - T ; B - P ; C - S ; D - Q
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Three liquids A, B and C having same specific heat and mass m , 2m and 3m have temperatures 20^(@) C,40^@C and 60^@C respectively. Temperature of the mixture when : {:("Column - I","Column - II"),("A) A and B are mixed","P) " 33.33^@C),("B) A and C are mixed","Q) "52^@C),("C) B and C are mixed","R) "50^@C),("D) A , B and C all three are mixed","S) "46.66^@C):}

{:("Column-I","Column-II"),("A)" 10^(@) "difference","P) 10 K"),("B) temperature is 20°c","Q) 20 K"),("C) 40°C","R) 293 K"),("D) 60°C","S) 33K"),(,"T) 313 K"):}

Knowledge Check

  • Equal masses of three different liquids, A, B and C are taken at 10^@C, 15^@C and 20^@C respectively. The steady state temperature when A and B are mixed, is 13^@C and when B and C are mixed, is 16°C. Which of the following statements is/are correct?

    A
    Ratio of specific heats of A and B is 2/3
    B
    Ratio of specific heats of A and C is
    C
    When A and C are mixed, temperature of mixture is `((140)/(11))^(@)C`
    D
    When all of three A, B and Care mixed, temperature of mixture is `15^@C`

  • The temperature of equal masses of three different liquids A, B and C are 12^@C, 19^@C, and 28^@C respectively. The temperature when A and B are mixed is 16^@C and when B and C are mixed it is 23^@C What should be the temperature when A and C are mixed?

    A
    `20.26^@C`
    B
    `15.87^@C`
    C
    `25^@C`
    D
    `30^@C`

  • If equal masses of 10 liquids of specific heats s, 2s, 3s, ........ 10s at temperatures 10^(@) C, 20^(@) C, 30^(@) C ......... 100^(@) C respectively are mixed, the resultant temperature of the mixture is.

    A
    `60^(@)`C
    B
    `50^(@)`C
    C
    `70^(@)`C
    D
    `80^(@)` C

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