Which of the following statements are correct ?
A. The saturation current is constant with collector plate potential for different frequencies of incident radiation.
B. The saturation current is different with collector plate potential for different frequencies of incident radiation.
C. The saturation current is different with collector plate potential for different intensity of incident radiation.
D. The saturation current is constant with collector plate potential for different intensity of incident radiation.
E. Below threshold frequency no photo electrons are emitted.
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At a place the angle of dip is \( 30^{\circ} \). If the horizontal component of the earth's magnetic field is \( B_H \), the total magnetic field of the earth will be :

For a parallel plate capacitor having plate area \( 1.13 \times 10^3 \, m^2 \) and separation between plates 0.5 cm, the capacitance is

A charge of magnitude \( 3 \times 10^{-7} \, C \) is located at a distance of 0.09 m from a point P. Obtain the work done in bringing a charge of \( 2 \times 10^{-9} \, C \) from infinity to the point P.

A 16 \( \Omega \) wire is bent to form a square loop. A cell of 9 V is connected across one of its sides. The potential difference between the diagonals of the square loop is :

Two resistances are connected in two gaps of a metre bridge. The balance point is 20 cm from the zero end. A resistance of \(3 \Omega\) is connected in series with the smaller resistance, then the null point shifts to 40 cm. The value of the smaller resistance is:

The velocity and acceleration vectors of a particle moving in a magnetic field are given by : \(\vec{v}=3 \hat{i}+4 \hat{j}\) and \(\vec{a}=2 \hat{i}+\hat{j}\) respectively, Then :
(A) the magnetic field is along \(z\)-direction
(B) \(v=3\)
(C) the kinetic energy of the particle is constant
(D) the acceleration is in x-z plane
(E) the particle is moving in \(x-y\) plane

Two long and parallel straight wires A and B carrying currents of 10.0 A and 5.0 A in the same direction are separated by a distance of 5.0 cm. Estimate the force on a 10 cm section of wire A.

Match List I with List II

LIST I	LIST II
A. \(\left[ Co \left( H _2 NCH _2 CH _2 NH _2\right)_3\right]_2\left( SO _4\right)_3\)	I. Tetracarbonylnickel(0)
B. \([\text{Ni}(\text{CO})_4]\)	II. Mercury tetrathiocyanatocobaltate(III)
C. \([\text{CoCl}_2(\text{en})_2]^+\)	III. tris(ethane-1,2-diamine)cobalt(III) sulphate
D. \(\text{Hg}[\text{Co}(\text{SCN})_4]\)	IV. Dichloridobis(ethane-1,2-diammine)cobalt(III)

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Match List I with List II

List I	List II
A. Rod rotated in uniform magnetic field	I. \( e = e_{0} \sin(\omega t) \)
B. Coil rotated in uniform magnetic field	II. \( e = Blv \)
C. Rod moved with linear velocity \( v \)	III. constant (for motional emf at constant \( v \))
D. Rectangular coil moved in magnetic field	IV. \( e = \frac{B\omega l^{2}}{2} \)

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Match List I with List - II.

List - I	List - II
(A) A community that is in near equilibrium with the environment	(I) Ecological succession
(B) The entire sequence of communities that successively change in a given area	(II) Xerarch succession
(C) A gradual and fairly predictable change in species composition of an area	(III) Climax community
(D) Succession of plants in dry areas	(IV) Sere(s)

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Read the following passage carefully and answer the given questions.
Biofertilisers
Biofertilisers are organisms that enrich the nutrient quality of the soil and their main sources are bacteria, fungi and cyanobacteria. You have studied about the nodules on the roots of leguminous plants formed by the symbiotic association of Rhizobium. These bacteria can fix atmospheric nitrogen into organic forms. Other bacteria can also fix atmospheric nitrogen while free-living in the soil (examples Azospirillum and Azotobacter). Fungi are also known to form symbiotic associations with plants (mycorrhiza). Many members of the genus Glomus form mycorrhiza. Plants having such associations show other benefits also, such as resistance to root-borne pathogens, tolerance to salinity and drought, and an overall increase in plant growth and development. Cyanobacteria are autotrophic microbes widely distributed in aquatic and terrestrial environments many of which can fix atmospheric nitrogen, e.g. Anabaena, Nostoc, Oscillatoria, etc. In paddy fields, cyanobacteria serve as an important biofertiliser. Blue green algae also add organic matter in to the soil and increase its fertility. Currently, in our country, a number of biofertilisers are available commercially in the market and farmers use these regularly in their fields to replenish soil nutrients and to reduce dependence on chemical fertilisers.
Nostoc is an example of :

Alcohol is more soluble in water when comparNo Solutioned to alkanes due to formation of