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Density of a liquid ‘A’ is 0.5g/c.c and that of liquid ‘B’ is 0.6g/c.c. Heat capacity of 8 litres of ‘A’ is equal to that of 10 litres of ‘B’. then their specific heats ratio is

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a

3 : 2

b

2 : 3

c

4 : 5

d

1 : 1

answer is B.

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Detailed Solution

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$\begin{array}{l} d_{A} = 0 .5 gm / cc, d_{B} = 0 .6 gm / cc \\ H_{A} = H_{B} \\ \Rightarrow M_{A} S_{A} = M_{B} S_{B} \Rightarrow d_{A} V_{A} s_{A} = d_{B} V_{B} s_{B} \\ \Rightarrow 0 .5 \times 8 \times s_{A} = 0 .6 \times 10 \times s_{B} \\ \Rightarrow s_{A} / s_{B} = 6 / 4 = 3 / 2 \end{array}$

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