The susceptibility \( (\chi_m) \) and permeability \( (\mu) \) of a perfectly diamagnetic substance are :

Arrange the following nuclei in the increasing order of their binding energy per nucleon: \( ^4\text{He}, ^6_3\text{Li}, ^{56}_{26}\text{Fe}, ^{238}_{92}\text{U} \)

Rohit has been given two converging lenses of focal lengths 1.25 cm and 5 cm, respectively to design a compound microscope. If it is desired to have a magnification of 30, what would be the separation between the objective and the eyepiece when the final image is formed at the least distance of distinct vision?

If a match box of size \( 5 \text{ cm} \times 4 \text{ cm} \times 1 \text{ cm} \) is filled with nuclear matter, what will be its expected mass? The density of nuclear matter is approximately \( 2.3 \times 10^{17} \text{ kg/m}^3 \).

A wire of resistance \( 5\Omega \) is drawn out so that its length is increased by thrice its original length. The new resistance would be :

The wavelength of second line of Balmer series in terms of Rydberg constant R is

Two cells of emf \( E \) and \( 2E \) with internal resistances \( r \) and \( 3r \), respectively are connected in parallel. The emf and internal resistance of the combination is:

\(\Lambda_m^o\) for \(NaCl , HCl\), and NaAc are \(126.4,425.9\) and \(91.0 S cm ^2 mol^{-1}\), respectively. \(\Lambda_m^o\) for HAc is

In a pair of adjacent coils, if current in one coil changes from 0 A to 10 A in 0.25 s , causing a magnetic flux change of 15 Wb in the adjacent coil, the mutual inductance of the coils is :

Which of the following compound will form a cyclic product on reaction with ethylene glycol?

The energy of a photon is equal to the kinetic energy of a proton. The energy of the photon is E. Let \(\lambda_1\) be the de-Broglie wavelength of the proton and \(\lambda_2\) be the wavelength of the photon. The ratio \(\lambda_1/\lambda_2\) is proportional to the following

Elements of group-15, 16 and 17 form compounds with hydrogen with general formula MH3, \(H2M\) and HX (called hydrogen halides). Stability of these hydrides, along with M-H bond strength and basic nature decreases down the group. Boiling point of these hydrides mainly depends on the strength of their inter molecular forces.
Which of the following is most basic among the following hydrides of group 16?

Read the passage carefully and answer the questions given along
Our immune system plays the major role in preventing diseases when we are exposed to disease-causing agents. Immunity is of two types: (i) Innate immunity and (ii) Acquired immunity. The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The immune system also plays an important role in allergic reactions, auto-immune diseases and organ transplantation. The primary lymphoid organs are bone marrow and thymus. The secondary lymphoid organs are spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa associated lymphoid tissue (MALT). It is important to note that HIV/AIDS is not spread by mere touch or physical contact; it spreads only through body fluids. AIDS has no cure, prevention is the best option. Adolescence is accompanied by several biological and behavioural changes and surveys and statistics show that use of drugs and alcohol has been on the rise especially among the youth. Factors associated with drug and alcohol abuse among adolescents are a child's natural curiosity, stress, the perception among youth that it is 'cool' or progressive to smoke, media exposure and an unstable or unsupportive family structures and peer pressure. It is best to identify the situations that may push an adolescent towards use of drugs or alcohol, and to take remedial measures well in time.
Which one of the following structures is not an example of a cellular barrier in innate immunity?