The introduction of dielectric slab between the capacitor plates increase its capacitance due to

Which of the following statements are correct?
(A) A nucleus of mass number A has a radius R given by the expression \( R = R_0 A^{1/3} \)
(B) Volume of nucleus is proportional to mass number A
(C) The density of nucleus increases with the radius of nucleus.
(D) Density of nuclear matter does not depend on its mass number A
Choose the correct answer from the options given below:

In n-type semiconductors, A are the majority charge carriers and B are the minority charge carriers. Here A and B are :

For an AC circuit, a phase diagram shows emf on X-axis, and current I is at angle \( \theta \) to emf. Angle \( \theta \) is phase angle between emf and current. Current I is resolved into two components, \( I \cos \theta \) is along emf on X-axis. \( I \sin \theta \) is along perpendicular direction to emf.
(A) Component \( I \cos \theta \) will draw the power from the source
(B) Component \( I \sin \theta \) will draw the power from the source
(C) \( I \cos \theta \) is called the powerless current
(D) \( I \sin \theta \) is called the powerless current
Choose the correct answer from the options given below:

The work function for a metal is 4.14 eV. The threshold wavelength for this metal surface is:
(\( h = 6.62 \times 10^{-34} \text{ J s}, c = 3 \times 10^8 \text{ m s}^{-1} \))

The resistivity of an iron wire is \( 10 \times 10^{-8} \, \Omega \text{ m} \). The resistance of an iron wire is \( 5 \, \Omega \). If its length as well as thickness is doubled then its resistivity will be :

A conducting wire of length 0.1 m and mass \( 3 \times 10^{-3} \text{ kg} \), carrying a current of 5 A is suspended freely in a horizontal direction in a uniform magnetic field. The magnitude of magnetic field perpendicular to the length of conductor is:

Given that \(\text{E}^{\circ}_{\text{Ni}^{2+}/\text{Ni}} = -0.25 \text{ V}\) and \(\text{E}^{\circ}_{\text{Cu}^{2+}/\text{Cu}} = +0.34 \text{ V}\).
The EMF of the cell containing nickel and copper electrodes in 1 M solution is

n-Hexane is obtained when glucose is

A card is drawn from a well-shuffled pack of 52 cards. Its outcome is noted and then another card is drawn without replacing the first card. The probability that the first card is a heart and the second card is a red ace is:

During the development of human embryo, which of the following hormone is NOT produced by placenta?

The value of \(\left|\begin{array}{lll}2^x & 1 & 6^x \\ 4^x & 1 & 3^x \\ 2^x & 1 & 6^x\end{array}\right|\), where \(x \neq 0 ;\) is:

Read the following passage carefully and answer the given questions.
Immune System in the Body
The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The primary lymphoid organs are bone marrow and thymus where immature lymphocytes differentiate into antigen-sensitive lymphocytes. After maturation the lymphocytes migrate to secondary lymphoid organs like spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells. The bone marrow is the main lymphoid organ where all blood cells including lymphocytes are produced. Each antibody molecule has four peptide chains, two small called light chains and two longer called heavy chains. Hence, an antibody is represented as H2L2. Different types of antibodies are produced in our body. IgA, IgM, IgE, IgG are some of them. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs.
An antibody is represented as -