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1 calorie=4.2 J where IJ= 1 kg m^2s^-2. ...

1 calorie=4.2 J where IJ= 1 kg `m^2s^-2`. Suppose we employ a system of units in which the unit of mass is `alpha` kg, the unit of length is `beta` m and the unit of time `gamma s`, show that a calorie has a magnitude `4.2alpha^-1beta^-2gamma^-2` in the new system.

Answer

Step by step text solution for 1 calorie=4.2 J where IJ= 1 kg m^2s^-2. Suppose we employ a system of units in which the unit of mass is alpha kg, the unit of length is beta m and the unit of time gamma s, show that a calorie has a magnitude 4.2alpha^-1beta^-2gamma^-2 in the new system. by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • 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 = 4.2J)

    A
    `4.2 alpha^(2) beta^(2) gamma^(2)` new units
    B
    `4.2 alpha^(-1) beta^(-2) gamma^(2)` new units
    C
    `alpha^(-1) beta^(-2) gamma^(2)` new units
    D
    `(1)/( 4.2 ) alpha^(-1) beta^(-2) gamma^(2)` new units

  • If the unit of mass is a 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 = 4.2 J)

    A
    `4.2 alpha^2 beta^2 gamma^2` new units
    B
    `4.2 alpha^(-1) beta^(-2) gamma^2` new units
    C
    `alpha^(-1) beta^(-2) gamma^2` new units
    D
    `(1)/(4.2) alpha^(-1) beta^(-2) gamma^2` new units

  • 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)

    A
    `4.2 alpha^(2)beta^(2)gamma^(2)` new unis
    B
    `4.2 alpha^(-1) beta^(-2) gamma^(2)` new units
    C
    `alpha^(-1) beta^(-2) gamma^(2)` new units
    D
    `(1)/(4.2) alpha^(-1) beta^(-2) gamma^(2)` new units

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