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Q.

The densities of two substances are in the ratio 5 : 6 and the specific heats are in the ratio 3 : 5 respectively. The ratio of their thermal capacities per unit volume is

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a

1 : 4

b

2 : 1

c

1 : 2

d

4 : 1

answer is B.

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Detailed Solution

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we have Thermal capacity=mass×specific heat =volume×density×  

                                                                                                                   specific heat

                                                                                                
H1 : H2 = d1s1 : d2s2
H1H2=d1s1d2s2=5635 ; H1 : H2=1 : 2

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The densities of two substances are in the ratio 5 : 6 and the specific heats are in the ratio 3 : 5 respectively. The ratio of their thermal capacities per unit volume is