List-I | List-II | ||
(A) | Isothermal process | (I) | No heat exchange |
(B) | Isochoric process | (II) | Carried out at constant temperature |
(C) | Isobaric process | (III) | Carried out at constant volume |
(D) | Adiabatic process | (IV) | Carried out at constant pressure |
Step 1: Recall the Definitions of Thermodynamic Processes
Isothermal Process
The temperature remains constant, meaning \( \Delta T = 0 \). The equation used is:
$$ PV = \text{constant} $$
This process is carried out at constant temperature (II).
Isochoric Process
The volume remains constant, meaning \( \Delta V = 0 \), so no work is done:
$$ W = 0 $$
This process is carried out at constant volume (III).
Isobaric Process
The pressure remains constant, meaning \( \Delta P = 0 \), and the work done is:
$$ W = P \Delta V $$
This process is carried out at constant pressure (IV).
Adiabatic Process
No heat exchange occurs, meaning \( Q = 0 \), and the equation governing the process is:
$$ PV^\gamma = \text{constant} $$
This process has no heat exchange (I).
Step 2: Match the Processes with Their Respective Conditions
Step 3: Conclusion
The correct answer is: Option (4) A-II, B-III, C-IV, D-I.
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :
The current passing through the battery in the given circuit, is:
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :