The separation between the plates of a charged parallel plate capacitor is increased. Which of the following quantities will change?
(A) charge on the capacitor plates
(B) potential difference across the capacitor
(C) energy of the capacitor
(D) energy density between the plates of the capacitor
Choose the correct answer from the options given below:

Two charges – 10 nC and + 10 nC are separated by 6 mm. What is the magnitude of the dipole moment?

The colour of the third band of a colour coded carbon resistor of resistance \(2.3 \times 10^2 \Omega\) would be

An armature coil consists of 20 turns of wire, each of area \( A = 0.09 \text{ m}^2 \) and total resistance \( 15 \ \Omega \).
It rotates in a magnetic field of 0.5 T perpendicular to the axis of rotation at a constant frequency \( \frac{150}{\pi} \text{ Hz} \). The value of maximum emf produced in the coil is:

Calculate the Ratio of Range of Transmitting antenna of height 64 m to the receiving antenna of height 16 m :

In an AC circuit, the power factor :

The relation below correctly represents the frequency of light emitted when an electron in a hydrogen atom jumps from a higher \( (n_i) \) energy level to \( (n_f) \) a lower energy level: \( \nu = Rc \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \). Predict the values of \( n_i, n_f \), respectively for the Paschen series, which will give the highest wavelength in the series

Which of the following is true?

The region represented by the constraints \(x \geq 0, y \geq 0\) of an LPP is

Which of the following functions has a local minima at \(x=0\) ?
(A) \(f(x)=x^3\)
(B) \(f(x)=|x|\)
(C) \(f(x)=x^2\)
(D) \(f(x)=x^{-2}\)
Choose the correct answer from the options given below :

If \(y=\frac{1}{1+x^{b-a}+x^{a-a}}+\frac{1}{1+x^{a-b}+x^{a-b}}+\frac{1}{1+x^{a-c}+x^{b-c}}\) then \(\frac{d^2 y}{d x^2}\) 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 -

Select the correct statements from the following :
(A) EDTA is used in the treatment of lead poisoning
(B) vitamin B 12 is a coordination complex of Co
(C) chlorophyll is a coordination complex of Fe
(D) Wilkinson catalyst is a rhodium complex used for hydrogenation of alkenes
Choose the correct answer from the options given below :