Home
Class 11
PHYSICS
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.

A

`4.2 alpha 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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II)|10 Videos

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III)|11 Videos

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise Practice Exercise|45 Videos

  • VECTORS

    AAKASH SERIES|Exercise Additional Practice Exercise (Practice Sheet (Advanced)) (Integer Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

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)

In a system of units , the unit of force is 100N, unit of length is 10m and the unit of times is 100s. What is the unit of mass in this system?

In a system of units, the unit of force is 100 N. unit of length is 10 m and the unit of time is 100s. What is the unit of mass in this system ?

If the unit of force is 2N, that of length is 4m and that of velocity is 6ms^(-1) , the unit of mass is