Two blocks P and Q of different metals having their mass in the ratio 2:1 is given the same amount of heat. Their temperature rise by the same amount. Compare their specific heat capacities.

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Solution

$L e t space C subscript p space a n d space C subscript q space b e space t h e space s p e c i f c space h e a t space c a p a c i t i e s space o f space b l o c k space P space a n d space Q space r e s p e c t i v e l y W e space k n o w space t h a t comma C equals fraction numerator Q over denominator m cross times increment T end fraction C subscript p over C subscript q equals fraction numerator begin display style fraction numerator Q over denominator 2 m increment T end fraction end style over denominator begin display style fraction numerator Q over denominator m increment T end fraction end style end fraction equals 1 half h e n c e space t h e space r e q u i r e d space r a t i o space i s space 1 colon 2$

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