There is no good way to answer that. Let me quote the question here for clarity:

The exam writers were very bold to have asked this. I don't believe there is a clear cut answer (at least not within the context of VCE), as the theory and mechanism of IR absorption is not discussed in detail at all. Knowledge required to eliminate the "incorrect" option are not accessible to year 12 students.
Firstly, we ask ourselves, does a simple, general pattern exist? The answer is not so clear-cut, because more complex molecules behave in even more exotic ways. There is no simple, clear trend determining IR absorption wavenumbers from available data. Sometimes, the fluctuation of the absorption wavenumber is greater than the trend itself (e.g. C-C vs C-Cl, O-H vs N-H).
What if we limit ourselves to very simple molecules? This runs into another problem, and that is the limited number of "simple" molecules. All the simple molecules have the same bonds, C-H, C-O, C-C, etc etc. It is impossible to untangle the different effects just by looking at these simple molecules, because all the trends follow each other. Down the group, increasing mass increases the radius and decreases the electronegativity. Across the period, increasing mass decreases the radius and increases the electronegativity. Radius and electronegativity seems to always be opposite each other. As we constrict ourselves to the non-metallic part of the periodic table, we can only really make systematic comparisons down the halide group (4 data points) and across period 2 (3 or 4 data points). It is very hard to separate any of the effects since we have so little data.
The reality is, these effects all contribute significantly, and we must develop theoretical, mathematical models that capture all of the effects. With a mathematical model, we can then look at the "hypothetical" contribution of each individual factor.
Amazingly, the actual formulas for this is surprisingly simple.
http://scitation.aip.org/content/aip/journal/jcp/14/5/10.1063/1.1724138 To understand how it is derived would be much more difficult (takes years or months), but we can use the formula to breakdown the contributions here.
Using this formula, it is actually possible to breakdown the different contribution of electronegativity, atomic radius and mass to the change in bond wavenumber. They are:
- electronegativity (~20% decrease from C-O to C-H)
- atomic radius/van der Waals radius (~20% increase from C-O to C-H)
- mass (~170% increase from C-O to C-H)
So, as nature would have it, mass is the most improtant thing in this particular case. A different set of comparisons (e.g. C-O vs C-Cl) would yield a very different answer.
What do we learn from this? Nature is complicated. There is not always simple trends that can be explained by concepts like electronegativity and atomic radius. The more chemistry you know, the less sense it makes.
/rant.
ps. apologies for bad grammar. It's late here <.< I am le tired.