In a series LCR circuit, \( R = 1 \text{ k}\Omega, C = 2 \text{ } \mu\text{F} \) and the voltage across R is 100 V at resonant frequency \( \omega = 200 \text{ rad/s} \). At resonant frequency, the voltage across L is:

If the electric field is given by \(E = (8i + 4j + 3k) NC^{-1}\), the electric flux passing through a surface of area 100 \(m^2\) lying in x-y plane would be :

Read the following statements regarding energy levels, and identify the correct statements.
(A) The energy of an atom is least when its electron is revolving in an orbit closest to the nucleus
(B) the energy levels of the excited states come closer and closer together as principal quantum number increases
(C) ionisation energy of the hydrogen atom is the minimum energy required to free the electron from the ground state of the hydrogen atom
(D) as the excitation of hydrogen atom increases, the value of minimum energy required to free the electron from the excited atom decreases.
Choose the correct answer from the options given below:

Which of the following statements best describe the temperature dependence of resistances of Cu and Si in the temperature range 27° to 127°C.

A displacement current of 1.0 A is established in the space between the two parallel plates of 1 \( \mu\text{F} \) capacitor. The rate of change of voltage across the capacitor is:

If the magnetic field \(\vec{B} = \hat{i} - 0.3\hat{j}\) and the area \(\vec{A} = \hat{i} + 6\hat{j} - 3\hat{k}\) then the magnetic flux through this area is:

The velocity of light in a medium depends on

The value of \(\int e^x\left[f(x)+f^{\prime}(x)\right] d x\) is :

The function \(f(x)=\left\{\begin{array}{ll}\frac{|x|}{x}, & \text { if } x \neq 0 \\ 0, & \text { if } x=0\end{array}\right.\) is:

Predict the correct sequence of reagents to carry out the following conversion:

Match List-I with List-II

List-I  (Geological periods)	List-II (Plant forms)
(A) Cretaceous	(I) Seed ferns
(B) Jurassic	(II) Progymnosperms
(C) Carboniferous	(III) Sphenopsids
(D) Devonian	(IV) Conifers

Choose the correct answer from the options given below:

To avoid the unfavourable conditions, the zooplanktons enter into :

A matrix which is symmetric as well as skew symmetric is: