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The internal energy change in a system that has absorbed $2\text{ kcal}$ of heat and done $500\text{ J}$ of work is
A Carnot engine whose sink is at $300 \text{ K}$ has an efficiency of $40\%$. By how much should the temperature of the source be increased to increase its efficiency by $50\%$ of its original efficiency?
In a double-slit experiment, the two slits are $1\text{ mm}$ apart and the screen is placed $1\text{ m}$ away. A monochromatic light of wavelength $500\text{ nm}$ is used. What will be the width of each slit for obtaining ten maxima of double-slit within the central maxima of a single-slit pattern?
1 g of water of volume $1 \text{ cm}^3$ at $100^{\circ}\text{C}$ is converted into steam at the same temperature under normal atmospheric pressure $\approx 1 \times 10^5 \text{ Pa}$. The volume of steam formed equals $1671 \text{ cm}^3$. If the specific latent heat of vaporization of water is $2256 \text{ J/g}$, the change in internal energy is:
The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom, is
For the given cycle, the work done during the isobaric process is:
An ideal gas undergoes a thermodynamic process described by the equation: $PV^2 = C$, where $C$ is a constant. The gas transitions from an initial state $(P_1, V_1, T_1)$ to a final state $(P_2, V_2, T_2)$. Which of the following statements is correct?
A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
In a double-slit experiment, when light of wavelength $400 \text{ nm}$ was used, the angular width of the first minima formed on a screen placed $1 \text{ m}$ away, was found to be $0.2^{\circ}$. What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? $\left(\mu_{\text{water}} = \frac{4}{3}\right)$
A string is stretched between fixed points separated by $75.0 \text{ cm}$. It is observed to have resonant frequencies of $420 \text{ Hz}$ and $315 \text{ Hz}$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:
$4.0 \text{ g}$ of a gas occupies $22.4 \text{ L}$ at NTP. The specific heat capacity of the gas at constant volume is $5.0 \text{ J K}^{-1}\text{mol}^{-1}$. If the speed of sound in this gas at NTP is $952 \text{ ms}^{-1}$, then the heat capacity at constant pressure is: (Take gas constant $R = 8.3 \text{ J K}^{-1}\text{mol}^{-1}$)
The number of possible natural oscillations of the air column in a pipe closed at one end of a length of $85 \text{ cm}$ whose frequencies lie below $1250 \text{ Hz}$ is: (velocity of sound $340 \text{ ms}^{-1}$)
A speed motorcyclist sees a traffic jam ahead of him. He slows down to $36 \text{ km/h}$. He finds that traffic has eased and a car moving in front of him at $18 \text{ km/h}$ is honking at a frequency of $1392 \text{ Hz}$. If the speed of sound is $343 \text{ m/s}$, the frequency of the honk as heard by him will be
Erythropoietin hormone which stimulates R.B.C. formation is produced by:
Two sources of sound placed close to each other, are emitting progressive waves given by $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$. An observer located near these two sources of sound will hear
A train moving at a speed of $220 \text{ ms}^{-1}$ towards a stationary object, emits a sound of frequency $1000 \text{ Hz}$. Some of the sound reaching the object gets reflected back to the train as an echo. The frequency of the echo as detected by the driver of the train is (speed of sound in air is $330 \text{ ms}^{-1}$)
Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is:
A tuning fork of frequency $512 \text{ Hz}$ makes $4 \text{ beats/s}$ with the vibrating strings of a piano. The beat frequency decreases to $2 \text{ beats/s}$ when the tension in the piano strings is slightly increased. The frequency of the piano string before increasing the tension was:
The catalytic activity of transition metals is due to:
The vapour pressure of a solvent decreased by 10 mm of Hg when a non-volatile solute was added to the solvent. The mole fraction of the solute in solution is 0.2. What would be the mole fraction of the solvent if the decrease in vapour pressure is 20 mm of Hg?