Final answer:
Planck's constant, h, in the equation E = hf has the dimension of Joule-seconds (J·s). Its value is h = 6.626 × 10-34 J·s.
Step-by-step explanation:
Planck's constant, h, is a fundamental constant in physics and plays a crucial role in quantum theory. In the equation E = hf, where E is the energy and f is the frequency of radiation, the dimension of Planck's constant is joule-seconds (J·s). This means that when energy is measured in joules and frequency is measured in hertz (Hz), Planck's constant has the value h = 6.626 × 10-34 J·s.
For example, if the frequency of radiation is 1 Hz, then the energy of the radiation would be 6.626 × 10-34 J·s × 1 Hz = 6.626 × 10-34 J.
Therefore, the dimension of Planck's constant is J·s.