Choose the correct basic nuclear process underlying \(\beta^{-}\)decay from the following :

White light is used to illuminate the two slits in a Young's double slit experiment. The separation between the slits is b and the screen is at a distance D from the slits. At a point on a screen directly in front of one of the slits, certain wavelength are missing. Some of these wavelengths are :
(A) \( \lambda = \frac{b^2}{D} \)
(B) \( \lambda = \frac{2b^2}{D} \)
(C) \( \lambda = \frac{b^2}{3D} \)
(D) \( \lambda = \frac{2b^2}{3D} \)
Choose the correct answer from the options given below :

The momentum of a photon associated with a radiation of frequency \(2 \times 10^{13} Hg\) is (Given: \(h=6.6 \times 10^{-34} J\) s and \(c=3 \times 10^8 m / s\) )

The magnitude of the electric and magnetic fields in an electromagnetic wave are related as :

Which of the following gives the correct expression for potential gradient in terms of the resistivity ( \(\rho\) ) of the wire?

When an \( \alpha \)-particle of mass M moving with velocity v bombards a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on M as

The oscillation period of a freely suspended magnetic needle does NOT depend upon :

Which of the following statements are correct?
A. Chlorine can show a maximum oxidation state of +3.
B. Deacon's process is oxidation of \(\text{HCl}\) in presence of \(\text{CuCl}_2\).
C. Chlorine on reacting with cold \(\text{NaOH}\) gives \(\text{NaOCl}\) not \(\text{NaOCl}_3\).
D. \(\text{ClF}_5\) has T shape.
E. \(\text{HCl}\) is a stronger acid than \(\text{HF}\).
Choose the correct answer from the options given below:

The current through a resistor in a circuit is 0.6 A. On putting a resistance of \(2 \Omega\) in parallel with the resistor, the current drops to 0.9 A. The resistance of the resistor is

What is the ratio of the frequencies of the long wavelength limits of Lyman and Balmer series of hydrogen spectrum ?

In species-area relationships equation - log S = log C + Z log A
'Z' denotes the -

Read the following passage carefully and answer the given questions.
During anaerobic sludge digestion, bacteria produce a mixture of gases such as methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as source of energy as it is inflammable. The bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. You must have noticed that bottled fruit juices bought from the market are clearer as compared to those made at home. This is because the bottled juices are clarified by the use of pectinases and proteases. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. The BOD test measures the rate of uptake of oxygen by micro-organisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water.
Cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by -

What amount of bromine will be required to convert \(6 g\) of phenol into 2,4,6-tribromophenol?