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Category > Physical Sciences

Q. The intensity of radiation emitted by a blackbody at a certain temperature is plotted as a function of wavelength. Which of the following statements best describes the shape of the resulting graph?

Q. Consider a system of bosons with a total of N = 1000 particles in a volume V = 1 cm3. If the temperature T = 1 K, what is the critical temperature (Tc) for Bose-Einstein condensation assuming that the mass is of the order of 10-24 kg, also the average energy per particle is 3/2 k T?

Q. Consider a system described by the equation: U = 3V2 + 2TV. Determine the expression for (∂S/∂V)T.

Q. A heat engine operates between a hot reservoir at 400°C and a cold reservoir at 100°C. If the heat engine produces 500 J of work, what is the amount of heat absorbed from the hot reservoir?

Q. A mass of 2 kg is attached to a spring with a spring constant of 50 N/m. The mass is displaced from its equilibrium position by 0.1 m and released. Does this frequency be able to resist a ball of frequency 0.5 s-1?

Q. The power radiated by a black body is P and it radiates maximum energy at wavelength, λ0. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength \(\frac{3}{4}\) λ0, the power radiated by it becomes nP. The value of n is

Q. A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be

Q. A particle in one dimension executes oscillatory motion in a potential V(x) = A lxl, where A > 0 is a constant of appropriate dimension. If the time period T of its oscillation depends on the total energy E as Eα, then the value of α is

Q. What is the decimal equivalent of hexadecimal number AB?

Q. Consider two containers A and B containing identical gases at the same pressure, volume and temperature. The gas in container A is compressed to half of its original volume isothermally while the gas in container B is compressed to half of its original value adiabatically. The ratio of final pressure of gas in B to that of gas in A is

Q. The power radiated by a black body is P and it radiates maximum energy at wavelength, λ0. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength \(\frac{3}{4}\) λ0, the power radiated by it becomes nP. The value of n is

Q. A heavy particle of rest mass M while moving along the positive z - direction, decays into two identical light particles with rest mass m (where M > 2m). The maximum value of the momentum that any one of the lighter particles can have in a direction perpendicular to the z-direction, is

Q. A particle, thrown with a speed from ν the earth's surface, attains a maximum height h (measured from the surface of the earth). If v is half the escape velocity and R denotes the radius of earth, then h / R is