A spaceship approachin Earth at a speed c/2, shoots a canister at a speed of 0.80c. Calculate the velocity of the canister for an observer on Earth if (i) the canister if it is shot directly toward Earth and (ii) if it is shot directly away from Earth.
We use the relativistic velocity addition formula: [ u = \frac{u' + v}{1 + \frac{u'v}{c^2}} ] where (u') is the velocity of the canister relative to the spaceship, (v) is the velocity of the spaceship relative to Earth, _______ ___ ______ _________ ________ __________ ___ ___ _________ ______ ________ _______.
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अर्ध-अनुभवजन्य द्रव्यमान सूत्र का उपयोग करके सर्वाधिक स्थायी नाभिक के लिए परमाणु क्रमांक (atomic number) (Z) का परिकलन कीजिए जिसकी द्रव्यमान संख्या A दी गई हो। के लिए Z0 का परिकलन करें ।
Calculate the probability current density of the incident and reflected waves for the quantum mechanical particle incident on a step potential$
when E < V0.
The half-life of is known to be 5730 years. Calculate the decay constant (in
). Also, calculate the rate of disintegration for 1 g of
.
In a photoelectric effect experiment, it is seen that when light of wavelength is incident on a metal, the measured photoelectric current drops to zero at a potential
. Calculate the work function of the metal and its cut-off frequency for photoelectric effect.
ऊर्जा का एक इलेक्ट्रॉन
ऊर्जा के एक विभव रोधिका से टकराता है। यदि सुरंगन प्रायिकता 4.0 प्रतिशत हो तो रोधिका की चौड़ाई का परिकलन करें।
The eigenfunction of a particle confined in a box of length L () is
$
i) Show that is not an eigenfunction of the momentum operator.
ii) Calculate the expectation value of the kinetic energy.
A star emits light of wavelength and recedes from Earth at speed 0.50c. Calculate the observed wavelength.