Home
Class 11
PHYSICS
1 calorie = 4.2J where 1J=1kg" "m^(2)s^(...

1 calorie = 4.2J where `1J=1kg" "m^(2)s^(2)`. Suppose we employ a system of units in which the unit of mass is `hat(a)` kg, the unit of length `hat(a)m` and the unit of time is `overset(~)(a)s`, show that a calorie has a magnitude `4.2hat(a)^(-1)hat(a)^(-2)overset(~)(a)^(-2)` in the new system.

Text Solution

Verified by Experts

1 calorie = 4.2J `rArr 1J=1kg" "m^(2)s^(-2)`
1 calorie = 4.2 kg `m^(2)s^(-2)`
In new sytsem, 1 calorie = `4.2hat(a)hat(a)^(2)hat(a)^(-2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

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.

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)

The projection of a vector vec(r ) = 3 hat(i) + hat(j ) + 2 hat(k) on the x-y plane has magnitude