A circuit containing a \( \frac{2}{\pi} \text{ H} \) inductor, a \( \frac{40}{\pi} \text{ } \mu\text{F} \) capacitor and a \( 50 \text{ } \Omega \) resistor in series are connected to an a.c. source of emf \( v = 230 \sin 314t \). The amplitude of the current in the circuit is

Match List-I with List-II

List-I	List-II
(A) Resistive Circuit	(I) No power dissipation
(B) Purely inductive or capacitive circuit	(II) Maximum power dissipated because \( X_L = X_C \)
(C) LCR series circuit	(III) Power dissipated only in resistor
(D) Power dissipated at resonance in LCR circuit	(IV) Maximum power dissipation

Choose the correct answer from the options given below :

Which of the following statements are correct?
(A) In dispersion through a prism of glass, the red color ray deviates most.
(B) In simple microscope, to get a magnified image, the object is placed within the focus of a convex lens.
(C) In compound microscope, total magnification is m = (magnification due to eye lens) x (magnification due to objective)
(D) Magnifying power of telescope M = focal length of eye lens / focal length of objective lens
Choose the correct answer from the options given below:

A capacitor has a reactance of 100 \( \Omega \) at 50 Hz. Its reactance at 125 Hz would be

The electron in a hydrogen atom rises from its n = 1 state to n = 4 state by absorbing energy. The energy of the electron in the n = 1 state is -13.6 eV. How much energy is absorbed by the electron in transition?

Choose the correct order for the formation of p-n junction diode.
(A) diffusion current
(B) drift current
(C) formation of space charge region
(D) creation of a barrier potential.

The instantaneous magnetic flux linked with a coil is given by \(\phi = (15t^3 - 100t^2 + 40)\) Wb. The emf induced in the coil at time \(t = 1\) s is :

Read the following paragraph and answer the given questions.
RNAi takes place in all eukaryotic organisms as a method of cellular defense. The source of this complementary RNA could be from an infection by viruses having RNA genomes or mobile genetic elements (transposons) that replicate via an RNA intermediate. Insulin from an animal source, though caused some patients to develop allergy or other types of reactions to the foreign protein. Insulin consists of two short polypeptide chains: chain A and chain B, that are linked together by disulphide bridges. Transgenic mice are being developed for use in testing the safety of vaccines before they are used on humans. Transgenic mice are being used to test the safety of the polio vaccine. If successful and found to be reliable, they could replace the use of monkeys to test the safety of batches of the vaccine. Specific Bt toxin genes were isolated from Bacillusthuringiensis} and incorporated into the several crop plants such as cotton. The choice of genes depends upon the crop and the targeted pest, as most Bt toxins are insect-group specific. The toxin is coded by a gene cryIAc named cry. There are a number of them, for example, the proteins encoded by the genes cryIAc and cryIIAb control the cotton bollworms, that of cryIAb controls corn borer.

Which of these is not present in mature insulin?

If \(A\) is an invertible matrix, then which of the following statement(s) is/are TRUE?
(A) \(\left|A^{-1}\right|=|A|\)
(B) \(\left(A^{-1}\right)^{-1}=A\)
(C) \(A^{-1}=\frac{\operatorname{adj} A}{|A|}\)
(D) \(\left(A^T\right)^{-1}=\left(A^{-1}\right)^T\)
Choose the correct answer from the options given below :

Match List - I with List - II.

List - I	List - II
(A) RNA	(I) Glycogen
(B) Invert sugar	(II) lactose
(C) Animal starch	(III) Ribose
(D) Milk Sugar	(IV) Sucrose

Choose the correct answer from the options given below :

DNA fragments can be separated by a technique known as:

Calculate the lowering of vapour pressure caused by the addition of \(5 0 ~ g\) of sucrose (mol mass = \(3 4 2 ~ g / m o l\) ) to \(7 5 0 ~ g\) of water, if the vapour pressure of pure water at Ambient temperature is 23.8 mm Hg

If the matrix \(\left[\begin{array}{ccc}-1 & x-y & 4 \\ 2 & 0 & 5 \\ x+y & z & 6\end{array}\right]\) is symmetric, then \(x+3 y+2 z\) is equal to