Suppose there is a research group X under the supervision of two professors. They put out an advertisement seeking 2 PhD students one for experimental research and one for theoretical/numerical work.

If a student has experience and necessary skills in both experimental and theoretical/numerical research of that particular field, is it ok for him to apply for both the positions?

And if he tailors his CV and motivation letter for the specific position he is applying(individual application has to be sent for each position) for, will it look good if the professors read the both application. Or will they think that the student is an imposter?

Given that the PhD positions are highly competitive, the student is ready to work on either experimental or computational.

So, is it ok to apply for both the positions?

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