A current I flows in a circular loop of radius R. The magnetic field at a point on its axis at distance r from the center of the loop is

Calculate the separation of two points on moon that can be resolved using 600 cm telescope. Given distance of moon from earth \(= 3.8 \times 10^{10}\) cm. The wavelength most sensitive to eye is \(5.5 \times 10^{-5}\) cm.

Which of the following statements are correct ?
(A) Electrostatic field lines form closed loops.
(B) In an electric dipole, the direction from charge to q is the direction of the dipole.
(C) Water molecule is an example of polar molecule.
(D) The electric field due to a uniformly charged thin shell is zero at some points inside the shell.
(E) Electrostatic force is conservative in nature.
Choose the correct answer from the options given below :

Arrange the following in the increasing order of their energy band gap
(A) Si
(B) Ge
(C) C
(D) Sn
Choose the correct answer from the options given below:

A slit is illuminated by light of wavelength \( 6500 \text{ \AA} \).
The first minimum is observed at \( \theta = 30^\circ \). The width of the slit is:

The potential energy of an electron in the first excited state of hydrogen atom is -6.8 eV. The kinetic energy of the electron in its ground state will be :

Photoelectric work function of a metal is 1 eV. Light of wavelength \( \lambda = 3000\text{\AA} \) falls on it. The photoelectrons come out with maximum kinetic energy of:

\(\int_0^{\pi / 2} \frac{\sin ^8 x}{\sin ^8 x+\cos ^8 x} d x\) is equal to

Which among the following is not an Analgesic?

Answer the question on the basis of passage given below:
Proteins are the polymers of about twenty different a-amino acids which are linked by peptide bonds. Proteins perform various structural and dynamic functions in the organisms. Proteins which contain only a-amino acids are called simple proteins. The secondary or tertiary structure of proteins get disturbed on change of pH or temperature and they are not able to perform their functions. This is called denaturation of proteins. Enzymes are biocatalysts which speed up the reactions in biosystems. Vitamins are accessory food factors required in the diet. They are classified as fat soluble (A, D, E and K) and water soluble (B group and C). Deficiency of vitamins leads to many diseases. Nucleic acids are the polymers of nucleotides which in turn consist of a base, a pentose sugar and phosphate moiety. Nucleic acids are responsible for the transfer of characters from parents to offsprings. There are two types of nucleic acids DNA and RNA. DNA contains a five carbon sugar molecule called 2-deoxyribose whereas RNA contains ribose.
Deficiency of which of following vitamins can cause scurvy (loosening and bleeding of gum)?

Time taken by sunlight to pass through a window of thickness 8 mm and refractive index \( \left( \frac{3}{2} \right) \) is :

A coil having 'n' turns and resistance \( 'R' \, \Omega \) is connected with a galvanometer of resistance \( '4R' \, \Omega \). What is the induced current in the circuit when this combination (coil+galvanometer) is moved in time \( t \) from a magnetic flux \( \phi_1 \) to \( \phi_2 \) ?

In the context of humans, which one of the following groups will have 46 chromosomes: