Identify the basic features of the photon picture of electromagnetic radiation from the following:
(A) Each photon has energy \(E = h\nu\) in vacuum.
(B) Photons are electrically neutral and are not deflected by electric and magnetic fields.
(C) All photons of light of a particular frequency \(\nu\) or wavelength \(\lambda\) have the same energy and momentum.
(D) If the intensity of light of a given wavelength is increased, there is an increase in the number of photons incident on a given area in a given time.
Choose the correct answer from the options given below:

In the systematic study of the photoelectric effect experiment, the stopping potential depends (for a given metal):

An astronomical telescope has a large aperture to

Which of the following statements are correct?
A. The number of photoelectrons emitted per second is directly proportional to the intensity of incident radiation.
B. The minimum value of photoelectric current is called saturation current.
C. For a given frequency, stopping potential is independent of its intensity.
D. The stopping potential is same for all frequencies.

At a certain place, the horizontal component is \(B_0\) and the vertical component is \(V_0\). If \(B_0 = V_0\) then the total magnetic field at that place will be :

In Young's double slit experiment, the light has a frequency of \(6 \times 10^{14}\) Hz and the distance between the centers of adjacent fringes is 0.75 mm. If the screen is 1.5 m away, what is the distance between the slits?

Which of the following are true statements ?
(A) Electric field due to a single charge is cylindrically symmetric.
(B) Gauss's theorem holds good for any closed surface.
(C) Electric field due to an electric dipole is spherically symmetric.
(D) The field due to a uniformly charged spherical shell is zero at all points inside the shell.
Choose the correct answer from the options given below :

Ethanol cannot be prepared from :

Identify the correct statements.
(A) Neutrons penetrate the nucleus more readily as compared to protons.
(B) It is easier to release an orbital electron, but quite difficult to release a nucleon.
(C) Nuclear density is not the same for all nuclei.
(D) The radius of the nucleus is directly proportional to the cube root of the mass number.
Choose the correct answer from the options given below:

\(\int \frac{(x-1) e^x}{x^2} d x\), \(x > 0\) equals (where C is an arbitrary constant)

IUCN stands for:

Read the passage carefully and answer the given questions.
DNA Fingerprinting
Polymorphism in DNA sequence is the basis of genetic mapping of the human genome as well as of DNA fingerprinting. DNA fingerprinting involves identification of differences in some specific regions in the DNA sequence called repetitive DNA. It works on the principle of polymorphisms in DNA sequences. The repetitive DNA are separated from bulk genomic DNA. The bulk DNA forms a major peak and the other small peaks are referred to as satellite DNA. These repetitive/satellite DNA sequences show a high degree of polymorphisms and form the basis of DNA fingerprinting.
DNA polymorphism forms the basis of

Read the following passage carefully and answer the given questions.
Productivity in the Ecosystem
The flow of energy through a terrestrial ecosystem starts with the harnessing of sunlight by autotrophs. The radiant energy is converted by photosynthesis to organic compounds is known as productivity. The productivity is expressed in units of energy per unit of area per unit time. The amount of organic matter present at any given time is biomass. The productivity of any ecosystem is affected by many parameters like weather conditions, nutrient availability etc. The productivity of any ecosystem does vary seasonally and yearly.
The biomass available for consumption by herbivores and decomposers is known as-