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Numerically, calorie is bigger than joule A. True B. False

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Last updated date: 20th Sep 2024
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Hint:Calorie and joule are the units related to the quantity heat. We need to understand the definitions of these units and find the correlation between them to know which of these two is numerically higher.

Complete answer:
Energy is a quantity which represents the work done. The units of energy are the same as that of work.
There are 2 widely used systems for denoting the units of physical quantities, namely, i) CGS (Centimetre Gram and Second system) ii) MKS (Metre Kilometre and Second system) or SI system.
The unit of energy in the SI system is joule and in the CGS system, it is calorie.
However, the unit calorie is more significantly, used to denote the energy in terms of heat and specially, in nutrition, while joule is used for all kinds of energy such as mechanical, electrical, thermal and chemical energy etc.
One joule is defined as the work done when force of one newton is applied for the displacement caused, is one metre.
$1J = 1N \times 1m$
The unit joule is defined in terms of work done. However, the calorie is defined in terms of the heat energy as follows:
One calorie is the amount of heat required to raise the temperature of a one gram of water by one degree Celsius.
The relationship between one calorie and one joule is given by the relation:
1 cal = 4.187 J
Hence, we see here that the calorie is numerically, greater than the joule.

Hence, this statement is Option-A – True.

Note:There are two types of calories in usage commercially, the small calorie, c and big calorie, C.
Small calorie is equal to one calorie while the big calorie is equal to thousand calories of one kilo-calorie (Kcal).
The big calorie is generally used in calculation of the nutritional value and the glycaemic index of the foods.