Question 15
Complete Fig 1.1 to show each quantity and its unit. [4]
Quantity Unit
speed m s-1
density
s-1
electric field strength
kg m s-1
Reference: Past Exam Paper – June 2003 Paper 2 Q1
Solution:
Quantity Unit
speed m s-1
density kg m-3
frequency s-1
electric field strength N C-1 or V m-1 or kg m s-2 C-1
momentum or impulse kg m s-1
{The unit of density is kg m-3 (= mass / volume).
A unit of s-1means that the quantity is ‘something divided by time’. The numerator should not have any unit. This could be frequency (= 1 / period) or count rate or activity or decay constant.
The question has NOT asked for the SI BASE unit. So, the unit of electric field strength can be given as N C-1 (= force / charge) or V m-1 (= p.d. / distance) or in SI base units, kg m2 C-1. However, there was no need to convert into SI base unit as this was not specified in the question.
In the unit kg m s-1, kg is the unit of mass and m s-1 is the unit of velocity. The quantity represented by ‘mass × velocity’ is momentum (or impulse).}
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