Assertion (A) When a wire of aluminium and another wire of silicon are heated from room temperature to \(80^{\circ} \mathrm{C}\), the conductivity of aluminium increases and that of silicon decreases.

Reason (R) Aluminium has positive temperature coefficient of resistivity and silicon has negative temperature coefficient of resistivity.

An ideal gas is taken around ABCA as shown in the \(\mathrm{P}-\mathrm{V}\) diagram. The work done during a cycle is

A $60 \mathrm{\mu F}$ parallel plate capacitor whose plates are separated by $6 \mathrm{mm}$ is charged to $250 \mathrm{V}$, and then the charging source is removed. When a slab of dielectric constant $5$ and thickness $3 \mathrm{mm}$ is placed between the plates, find the change in the potential difference across the capacitor?

A body of weight 64 N is pushed with just enough force to start it moving across a horizontal floor and the same force continues to act afterwards. If the coefficients of static and dynamic frictions are 0.8 and 0.6 respectively, then the acceleration of the body will be

Both an electron and a photon have same de-Broglie wavelength of \(1.2 Å\). The ratio of their energies is nearly

Resonance frequency of \(L-C-R\) series AC circuit is \(f_0\). Now inductance is reduced to \(\frac{1}{4}\) times and capacitance is increased to 16 times, then the resonance frequency becomes.

The transverse displacement of a string of a linear density \(0.01 \mathrm{~kg} \mathrm{~m}^{-1}\), clamped at its ends is given by \(Y_{(x, t)}=0.03 \sin \left(\frac{2 \pi x}{3}\right) \cos (60 \pi t)\), where \(x\) and \(y\) are in metres and time \(t\) is in seconds. Tension in the string is

If \(a, b, c \in R\) are such that \(4 a+2 b+c>0\) and \(a x^2+b x+c=0\) has no real roots, then the value of \((c+a)(c+b)\) is

Match List-I with List-II
\(\begin{array}{|c|l|l|l|}\hline & \text{List-I (Reaction)} & & \text{List-II (Enzyme)} \\ \hline \text{A.} & \begin{array}{l} \text{Hydrolysis of starch to} \\ \text{maltose}\end{array} & \text{I} & \text{Diastase} \\ \hline \text{B.} & \begin{array}{l} \text{Conversion of proteins} \\ \text{to peptides} \end{array} & \text{II} & \text{Pepsin} \\ \hline \text{C.} & \begin{array}{l} \text{Hydrolysis of sucrose} \\ \text{to glucose and fructose}\end{array} & \text{III} & \text{Invertase} \\ \hline \text{D.} & \text{Glucose to ethanol} & \text{IV} & \text{Zymase} \\ \hline\end{array}\)
The correct answer is

The three sides of a triangle are given by \(\left(x^2+7 x y+2 y^2\right)(y-1)=0\). Then the centroid of that triangle is

The value of \(\sum_{n=0}^{\infty}\left(\frac{2 i}{3}\right)^n\) is

In Kjeldahl's method, organic \(\mathrm{N}\) is estimated as

Assertion (A) Adsorption is an exothermic process.
Reason (R) Physisorption of a gas on a solid surface is normally reversible.