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An air bubble of volume 1.0 `cm^3` rises from the bottom of a lake 40 m deep at a temperature of 12 °C. To what volume does it grow when it reaches the surface, which is at a temperature of 35 °C

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 `m^3` at a temperature of 27 °C and 1 atm

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Estimate the average thermal energy of a helium atom at (i) room temperature (27 °C), (ii) the temperature on the surface of the Sun (6000 K), (iii) the temperature of 10 million kelvin (the typical core temperature in the case of a

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic). Do the vessels contain equal number of respective molecules ? Is the root mean square speed of molecules the same in the three cases? If not, in which case is vrms the largest

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at – 20 °C ? (atomic mass of Ar = 39.9 u, of He = 4.0

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 0C. Take the radius of a nitrogen molecule to be roughly 1.0 Å. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of `N_2`=28.0

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A metre long narrow bore held horizontally (and closed at one end) contains a 76 cm long mercury thread, which traps a 15 cm column of air. What happens if the tube is held vertically with the open end at the bottom

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 `cm^3` `s^(–1)`. The diffusion of another gas under the same conditions is measured to have an average rate of 7.2 `cm^3` `s^(–1)`. Identify the gas. [Hint : Use Graham’s law of diffusion: R1/R2 = ( M2 /M1 )1/2, where R1, R2 are diffusion rates of gases 1 and 2, and M1 and M2 their respective molecular masses. The law is a simple consequence of kinetic

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A gas in equilibrium has uniform density and pressure throughout its volume. This is strictly true only if there are no external influences. A gas column under gravity, for example, does not have uniform density (and pressure). As you might expect, its density decreases with height. The precise dependence is given by the so-called law of atmospheres ` n^2` = `n^1` exp [ -mg (`h_2` – `h_1`)/ kB T] where` n-2`, `n-1` refer to number density at heights `h_2` and `h_1` respectively. Use this relation to derive the equation for sedimentation equilibrium of a suspension in a liquid column: `n_2`

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Given below are densities of some solids and liquids. Give rough estimates of the size of their atoms : [Hint : Assume the atoms to be ‘tightly packed’ in a solid or liquid phase, and use the known value of Avogadro’s number. You should, however, not take the actual numbers you obtain for various atomic sizes too literally. Because of the crudeness of the tight packing approximation, the results only indicate that atomic sizes are in the range of a few

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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On an average, a human heart is found to beat 75 times in a minute. Calculate its frequency and

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. sin ωt + cos

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. sin ωt + cos 2 ωt + sin 4

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant].

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. log

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic? Give the period for each case. (1) sin ωt – cos ωt (2) `sin^2

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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The figure given below depicts two circular motions. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated in the figures. Obtain the simple harmonic motions of the x-projection of the radius vector of the rotating particle P in each case.

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A body oscillates with SHM according to the equation (in SI units), x = 5 cos [2π t + π/4]. At t = 1.5 s, calculate the (a) displacement, (b) speed and (c) acceleration of the

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in Fig.. Show that when the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. Find the period of oscillations.

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A block whose mass is 1 kg is fastened to a spring. The spring has a spring constant of 50 N `m^(–1)`. The block is pulled to a distance x = 10 cm from its equilibrium position at x = 0 on a frictionless surface from rest at t = 0. Calculate the kinetic, potential and total energies of the block when it is 5 cm away from the mean

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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