Assuming, \(R=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) and \(\gamma=1.4\) the values of \(C_{p}\) and \(C_{V}\) of a gas are

Water is poured in a tank through a cylindrical tube of area of cross-section \(A\) and ejecting water at a constant speed \(4 \mathrm{~m} / \mathrm{s}\). The tank contains a hole of area \(\dfrac{A}{2}\) at bottom. Level of water in the tank will not go up beyond

Following graph shows four different processes, adiabatic, isothermal, isobaric and isochoric for an ideal gas, from the same initial state. Study the graph carefully and state which of the following statements is correct?

In which mode of transmission, the heat waves travel along straight line with the speed of light?

The resistance of mercury at \(4.2 \mathrm{~K}\) is

In a single slit diffraction experiment, for slit width '\(\alpha\)' the width of the central maxima is '\(\beta\)'. If we double the slit width then the corresponding width of the central maxima will be:

The value of alternating emf \(E\) in the given circuit will be

Which of these represents the correct order of decreasing bond order?

The sides of a parallelogram are represented by vectors \(\mathbf{p}=5 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) and \(\mathbf{q}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) Then, the area of the parallelogram is

A proton having mass equal to \(1.66 \times 10^{-27} \mathrm{~kg}\) is accelerated to one tenth of the velocity of light. If its velocity can be measured to an accuracy of \(\pm 2 \%\), what would be the uncertainty in its position?

Match \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and D with the appropriate functions given.
\(\begin{array}{|l|l|l|l|} \hline & \text { Column I } & & \text { Functions } \\ \hline \text { A } & \text { Oxidoreductase } & \text { P } & \text { Malfunctioning leads to Addison's disease. } \\ \hline \text { B } & \text { Phosphodiester bonds } & \text { Q } & \text { Regulates responses to external stimuli. } \\ \hline \text { C } & \text { Adrenal cortex } & \text { R } & \text { Catalyses glycolysis. } \\ \hline \text { D } & \text { Epinephrine. } & \text { S } & \text { Links nucleotides together. } \\ \hline \end{array}\)

The Paschen series of hydrogen spectrum lies in which region?

An unsaturated hydrocarbon \([\mathrm{A}]\) undergoes the following series of reactions. Identify \([\mathrm{A}]\).