The light from a point source placed in air is incident on a convex spherical glass surface of radius of curvature 30 cm.
The refractive index of the glass is 1.5. The distance of light source from the glass surface is 120 cm. The distance of the image formed from the glass surface is

Light ray travels from an rarer medium to an denser medium. Which of the following is incorrect if \( (0^{\circ} < i < 90^{\circ}) \).

Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on 10 cm length of wire B:

Hole is-

An electron is moving at a velocity of 100 m/s along the X-axis in the presence of an electric field of 30 V/m directed along the Y-axis and a magnetic field of 300 G directed along the Z axis. The magnitude and direction of force acting on the electron is (Given: the charge on the electron is "e")

In which of the following interference is possible?

The shortest wavelength in the Balmer series of a hydrogen atom is (Given: \(R=1.1 \times 10^7 m^{-1}\) )

Match List-l with List-ll

List-l (Rate expression)	List-II (Overall order of reaction)
(A) \(r=k[A]^{0.2}[B]^{0.3}[C]\)	(I) \(\frac{3}{10}\)
(B) \(r=k[A]^{0.2}[B]^{-0.3}[C]\)	(II) 1
(C) \(r=k[A][B]^{0.8}[C]^{-1}\)	(III) \(3 / 2\)
(D)\(r=k[A]^{0.2}[B]^{0.3}[C]^{0.5}\)	(IV) \(9 / 10\)

Choose the correct answer from the options given below:

Match List I with List II

List I	List ll
(A) First Restriction Endonuclease	(I) GAATTC
(B) Disarmed Plasmid	(II) Selectable markers
(C) Antibiotic resistant genes	(III) Hind II
(D) EcoRI	(IV) Vector

Choose the correct answer from the options given below:

Which one of the following statements is correct with reference to the solubility of gases in liquid?

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.
Choose the free living, nitrogen-fixing bacteria from the following.

If \(x=4 t^2, y=8 t\), then \(\frac{d^2 y}{d x^2}\) is:

Which of the following statements about gold (Au) element are correct ?
(A) quad Gold occurs in nature in native state.
(B) quad Gold discolves in aqua-regia.
(C) quad Gold is extracted by leaching the metal with dilute NaCN .
(D) \quad Leaching is followed by replacement reaction.
Choose the correct answer from the options given below :