Analyze the following statements regarding the relationship between time and energy in quantum mechanics:

The uncertainty principle establishes a limit on the exactness of measurements of time and energy.
The longer the time of existence or observation of a system, the more accurately its energy can be determined.
For an unstable particle with a very short lifetime, it does not make sense to talk about a specific energy.
The introduction of an instrument for measurement always brings about an unpredictable and uncontrollable change in the state of the quantum system.
a) Only statements 1 and 2 are correct.
b) Only statements 2 and 3 are correct.
c) Only statements 1, 3, and 4 are correct.
d) All statements are correct.