When \(n-p-n\) transistor is used as an amplifier :

Four capacitors marked with capacitances and breakdown voltages are connected as shown in the figure. The maximum emf of the source, so that no capacitor breaks down is

Match the following lists.
\begin{array}{|c|c|c|c|}
\hline & List I & & List II \\
\hline A & \begin{array}{l}\text { Zeroth law of } \\
\text { thermodynamics }\end{array} & 1 & \begin{array}{l}\text { Direction of flow of } \\
\text { heat }\end{array} \\
\hline B & \begin{array}{l}\text { First law of } \\
\text { thermodynamics }\end{array} & \| & Work done is zero \\
\hline\underline{\mathrm{C}} & Free expansion of a gas & III & Thermal equilibrium \\
\hline D & \begin{array}{l}\text { Second law of } \\
\text { Thermodynamics }\end{array} & IV & \begin{array}{l}\text { Law of conservation } \\
\text { of energy }\end{array} \\
\hline
\end{array}
The correct answer is
\(\begin{array}{lccccccccc} & \text { A } & \text { B } & \text { C } & \text { D } \end{array}\)

An object is executing simple harmonic motion with an angular frequency \(\omega\) If the maximum velocity is \(v_{\max }\) then the maximum acceleration of the object is

In a wire of radius 1 mm, a steady current of 2 A uniformly distributed across the cross-section of the wire is flowing. Then the magnetic field at a point 0.25 mm from the centre of the wire is

The mass of a planet is half that of the earth and the radius of the planet is one-fourth that of earth. If we plan to send an artificial satellite from the planet, the escape velocity will be, (escape velocity on earth \(v_e=11 \mathrm{~km}-\mathrm{s}^{-1}\) )

In the equation \(\left(\mathrm{P}+\frac{a}{\mathrm{~V}^2}\right)(\mathrm{V}-b)=\mathrm{RT}\), where P is pressure, V is volume, T is temperature, R is universal gas constant, \(a\) and \(b\) are constants. The dimensions of \(a\) are

Which of the following statements regarding damping force of a damped oscillator is NOT correct?

If \(A\) is a square matrix such that \(A(\operatorname{adj} A)=\left[\begin{array}{lll}4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4\end{array}\right]\), then \(\operatorname{det}(\operatorname{adj} A)\) is equal to

The rms velocity of a gas molecule of mass ' \(m\) ' at a given temperature is proportional to

The differential equation of the family of hyperbola having their centres at origin and their axes along the coordinates axes is

\(\int_0^2 x^8\left(\frac{4}{x^2}-1\right)^{5 / 2} d x=\)

If speed of light in vacuum \(\left(3 \times 10^8 \mathrm{~ms}^{-1}\right)\), acceleration due to gravity \(\left(10 \mathrm{~ms}^{-2}\right)\) and mass of electron \(\left(9.1 \times 10^{-31} \mathrm{~kg}\right)\) are taken as fundamental physical quantities, then the unit of time in this system is