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Suppose two students trying to make a ne...

Suppose two students trying to make a new measurement system so that they can use it like a code measurement system and others do not understand it Instead of taking 1 kg, 1 m and 1 second, as basic unit they took unit of mass as `alpha` kg, the unit of length as `beta` m and unit of times as `gamma` second. They called power in new system as "Aakash", then find The value of `alpha` "Aakash" in watt.

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Suppose two students are trying to make a new measurement system so that they can use it like a code measurement system and others do not understands it. Instead of taking 1kg, 1m and 1 sec, as basic unit they took unit of mass as alpha kg , the unit of length as beta m and unit of times as gamma second. They called power in new system as ACME then match the two columns. {:(,"Column-I",,"Column-II"),((a),"1N in new system",(p),alpha^(-1) beta^(-2) gamma^(2)),((b),"1J in new system",(q),alpha^(-1) beta^(-1) gamma^(2)),((c),"1 pascal (SI unit of pressure) in new system",(r),alpha^(-1)beta gamma^(2)),((d),alpha "ACME in watt",(s),alpha^(2) beta^(2) gamma^(-3)):}

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If the unit of mass is alpha kg, the unit of length is beta metre and the unit of time is " gamma ' second, The magnitude of calorie in the new system is (1 Cal = 4.23)

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