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A particle is confined to the one-dimensional space 0 ≤ x ≤ a , and classically it can be in any small interval dx with equal probability. However, quantum mechanics gives the result that the probability distribution is proportional to sin 2 ( nπ x/a ), where n is an integer. Find the variance in the particle's position in both the classical and quantum mechanical pictures, and show that, although they differ, the latter tends to the former in the limit of large n , in agreement with the correspondence principle of physics.
A refrigerator requires 10 J of work and exhausts 70 J of heat per cycle. What is the refrigerator's coefficient of performance
250 cm3 of hot tea at 89degc are poured into a very thin paper cup with 10 g of crushed ice at 0degc. calculate the
A 6.40 nF capacitor is initially charged by a potential difference of 1.40×103 V. find the final electric potential energy stored in the capacitor
A cart on a linear track has a uniform acceleration of 0.172m/s2. What is the velocity of the cart 4.00 s after it is released from rest?
An optical fiber is constructed out of an inner glass fiber with an index of refraction of 1.61, Find the critical angle for total internal reflection in this fiber
in general the quantization of transitional motion is insignificant for atoms because of their mass. however this
A wire 6.00m long with diameter of 2.20mm has a resistance of 0.0350ohm. Find the resistivity of the material of the wire
Monochromatic light is incident on a grating that is 75 mmwide and ruled with 50,000 lines. What is the wavelength of the incident light
Find the resistance in ohms of an aluminum wire that is 15 m long and has diameter 0.0025 m. What is the new resistance of the wire
A hydrogen atom in its ground state absorbs a photon with an energy of 26 eV, What is the kinetic energy of the ejected electron
A 1.05kg block is attached to a spring with spring constant 18N/m. What is the amplitude of the subsequent oscillations
A plot of the displacement on the y axis vs. applied force on thte x axis for an ideal elastic spring. What would the slope of the curve be
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