
Given below are two statements:
Statement I: \(\textit{Granite}\) is the hardest stone.
Statement II:\( \textit{Marble}\) is a soft stone.
In the light of the above statements, choose the correct answer from the options given below.
Given below are two statements:
Statement I: The sun has a maximum altitude of \(90^\circ\) on the Tropic of Capricorn on 22nd June at 12 noon and gradually decreases thereafter till 22nd December.
Statement II: The tilt of the Earth on its axis of \(23.5^\circ\) has no role to play in the change of altitude of the sun on the Tropic of Capricorn.
In the light of the above statements, choose the correct answer from the options given below.
Given below are two statements:
Statement I: The concept of “form follows function” suggests that a building's design should primarily consider its use.
Statement II: The concept of “form follows function” means that aesthetics should take precedence over functionality.
In the light of the above statements, choose the correct answer from the options given below.
Given below are two statements:
Statement I: “Wind speed” should be considered while designing tall buildings.
Statement II: “Buildings” should be rigid in an earthquake high risk zone.
In the light of the above statements, choose the correct answer from the options given below.
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$) 
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).

Match the LIST-I with LIST-II for an isothermal process of an ideal gas system. 
Choose the correct answer from the options given below: