Calculate the de Broglie wavelength of a 87Rb atom that has been laser cooled to 200 µK. (Assume that the kinetic energy is 3/2kBT).
To calculate the de Broglie wavelength of a \(^{87}\text{Rb}\) atom at 200 µK, we follow these steps: --- ### Step 1: Understand the de Broglie wavelength formula The de Broglie wavelength (\(\lambda\)) is given by: \[ \lambda = \frac{h}{p} \] where: - \(h\) is Planck's constant (\(h = 6.626 \times 10^{-34} \, \text{J·s}\)), - \(p\) ____ __________ _______ ______ _______ _________ ________ ____ ___ ______.
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A star emits light with wavelength 420 nm. An observer on earth measures the wavelength of the light received from the star to be 600 nm. Calculate the speed with which the star is moving.
Using Heisenberg's Uncertainty Principle explain whether a particle trapped inside a one dimensional box of finite length can be at rest.
पृथ्वी के सापेक्ष एक अंतरिक्ष यान A की चाल 0.80c है। यदि एक अंतरिक्ष यान B, अंतरिक्ष यान A के सापेक्ष चाल 0.50c से गतिमान हो, तो पृथ्वी के सापेक्ष अंतरिक्ष यान B की चाल क्या होगी?
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A piece of wood from the ruins of an ancient dwelling was found to have a 14C activity of 14 disintegrations per minute per gram of its carbon content. The 14C activity of living wood is 16 disintegrations per minute per gram. How long ago did the tree die from which the wood sample came? Take half-life of radiocarbon as 5760 years.
A particle of rest mass 2.0 kg has an initial speed of 2x108ms-1. A constant relativistic force of magnitude 1.5x106 N is exerted on the particle in the same direction as the initial relativistic momentum for 1000 s. Calculate the magnitudes of the initial and final relativistic linear momentum and its final speed.