What is the dimension of new quantity named $" C H I G S "$ if it depends only on velocity of an object and mass of object.
(i) $C H I G S$ is proportional to mass of object keeping velocity constant.
(ii) $C H I G S$ is proportional to kinetic energy of object keeping mass constant.

Question can be solved by information I only.

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Question can be solved by information II only.

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Question can be solved by information I and II in combined form only.

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Question can not be solved by both the informations only.

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Question can be solved independently by information I and II.

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Solution

The correct option is C Question can be solved by information I and II in combined form only.
Since the given quantity depends on two variables, we require at least two independent informations to find this relation. First information gives us relation with respect to mass. Second relation gives us relation to kinetic energy which is apparently related to velocity. Hence these two statements put together can be used to derive formula for $C H I G S$ .

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What is the dimension of new quantity named "CHIGS" if it depends only on velocity of an object and mass of object.(i) CHIGS is proportional to mass of object keeping velocity constant.(ii) CHIGS is proportional to kinetic energy of object keeping mass constant.

What is the dimension of new quantity named $" C H I G S "$ if it depends only on velocity of an object and mass of object.
(i) $C H I G S$ is proportional to mass of object keeping velocity constant.
(ii) $C H I G S$ is proportional to kinetic energy of object keeping mass constant.