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Kirchhoff's junction rule is a reflection of: (a) conservation of the current density vector. (b) conservation of charge. (c) the fact that the momentum with which a charged particle approaches a junction is unchanged (as a vector) as the charged particle leaves the junction. (d) the fact that there is no accumulation of charges at a junction. Which of the above statements are correct?
Figure below shows two paths that may be taken by a gas to go from a state $A$ to a state $C$. In process $AB$, $400\text{ J}$ of heat is added to the system and in process $BC$, $100\text{ J}$ of heat is added to the system. The heat absorbed by the system in the process $AC$ will be:
A mass of diatomic gas ($\gamma=1.4$) at a pressure of $2\text{ atm}$ is compressed adiabatically so that its temperature rises from $27^\circ\text{C}$ to $927^\circ\text{C}$. The pressure of the gas in the final state is:
If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
Isotonic solutions have the same:
A negligibly small current is passed through a wire of length 15 m and uniform cross-section 6.0 × 10⁻⁷ m², and its resistance is measured to be 5.0 Ω. What is the resistivity of the material at the temperature of the experiment?
The coefficient of performance of a refrigerator is $5$. If the temperature inside freezer is $-20^\circ\text{C}$, the temperature of the surroundings to which it rejects heat is
A thermodynamic system is taken through the cycle $abcda$. The work done by the gas along the path $bc$ is:
Figure shows a potentiometer circuit for comparison of two resistances. The balance point with a standard resistor R = 10.0 Ω is found to be 58.3 cm, while that with the unknown resistance X is 68.5 cm. The value of X is:
A storage battery of emf 8.0 V and internal resistance 0.5 Ω is being charged by a 120 V DC supply using a series resistor of 15.5 Ω. What is the terminal voltage of the battery during charging?
A battery of emf 10 V and internal resistance 3 Ω is connected to a resistor. If the current in the circuit is 0.5 A, what is the terminal voltage of the battery when the circuit is closed?
An ideal gas is compressed to half its initial volume using several processes. Which of the processes results in the maximum work done on the gas?
A gas is taken through the cycle $A \rightarrow B \rightarrow C \rightarrow A$, as shown. What is the net work done by the gas?
Two slits in Young's experiment have widths in the ratio of $1:25$. The ratio of intensity at the maxima and minima in the interference pattern $\frac{I_{max}}{I_{min}}$ is:
The current drawn from a 12 V supply with internal resistance 0.5 Ω by the infinite network (shown in the figure) is:
The electric field due to a uniformly charged solid sphere of radius R as a function of the distance from its centre is represented graphically by -
A monoatomic gas at a pressure $P$, having a volume $V$, expands isothermally to a volume $2V$ and then adiabatically to a volume $16V$. The final pressure of the gas is: (Take: $\gamma = \frac{5}{3}$)
An ideal gas undergoes four different processes from the same initial state (figure). Four processes are adiabatic, isothermal, isobaric and isochoric. Out of $1$, $2$, $3$ and $4$, which one is adiabatic?
Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron):
Which of the following gate is called the universal gate?