The ratio of radii of the nuclei with the mass numbers given as 2, 16, 54 and 128, respectively, will be

A step-up transformer operates on a 220 V line and supplies a current of 2 A. The ratio of primary and secondary winding is 1 : 25. Assuming 100% efficiency, the output power of the transformer is:

The resistivity of a wire depends on :
(A) its length
(B) its area of cross-section
(C) its temperature
(D) nature of material
(E) voltage applied across it
Choose the correct answer from the options given below :

The wavelength of light coming from a sodium source is 589 nm. Its wavelength in crown glass having refractive index 1.52 is

The electric charges are distributed in a small volume. The flux of the electric field through a sphere of radius 10 cm surrounding the total charge is 20 Vm. The flux over a concentric sphere of radius 20 cm will be:

In the given circuit, \( R_1 = 6 \Omega \), \( R_2 = 3 \Omega \), \( C_1 = 4 \mu F \) and \( C_2 = 5 \mu F \). When key K is closed, the charge stored in \( C_1 \) is

What uniform magnetic field applied perpendicular to a beam of electrons moving at \( 1.3 \times 10^6 \text{ m/s} \) is required to make the electrons travel in a circular arc of radius 0.35 m?

The mean of the number of heads in the two tosses of a coin is

The mean number of heads in three tosses of a fair coin is:

The interval in which the function given by \(f(x) = \sin^4 x + \cos^4 x\), x \(\in\) [0, \(\frac{\pi}{2}\)] is decreasing is:

Sporopollenin, the most resistant organic material is present in:

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. 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. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
The greater the BOD of waste water-

Which of the following will have the smallest radius of first orbit (n = 1)