Determine dimensional analysis using fundamental constants

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1. The length scale on which the quantized nature of gravity should ?rst become evident is called the Planck length.

(a) Determine it using dimensional analysis using the fundamental constants G, h, and c.

(b) Determine it by ?nding the de Broglie wavelength of the Planck mass of Problem 25. Are the values close to the value of 10-35 m?

2. Use the fundamental constants G, h, and c and dimensional analysis to determine a time constant called the Planck time. How much time would it take light to travel the Planck length discovered in the previous problem? Are these two times consistent?

Reference no: EM131013981

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