The specific heat of water is 1 cal $g^{- 1} ° c^{- 1}$ . Its value in the S.I unit is approximately.

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4.2

420

4200

answer is D.

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Detailed Solution

Concept: To answer the questions, you should have a basic understanding of specific heat and its many values in various units, such as the value of specific heat in SI units and how to convert CGS to SI. These questions are based on unit conversions and also S.I units of phrases like specific heat.
We are given the specific heat of water in CGS, which is 1 cal, in the question. We know that 1 cal is equal to 4.2 joules (J) .
In the question the value is given in gram so we know that 1 g= 1/1000 kg which is equal to 0.001 kg.
To change the CGS unit in SI we have to divide the values of 1 cal to that of 1 g which is = 4.2J/0.001kg∘C=4200J/kg∘C
Thus, the value of specific heat in SI is 4200 J/kg.
Hence, the correct answer is option (4) .

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