Three resistances of 1 \(\Omega\), 2 \(\Omega\) and 3 \(\Omega\) are given. In order to obtain an equivalent resistance of 11/3 \(\Omega\) they are to be connected as

What happens when light is refracted into a medium ?

Two coherent light beams of intensity 2I and 18I are superposed with each other. The maximum and minimum possible intensities in the resulting beam are

A charged particle is released from rest in a region of a uniform magnetic field along the direction of the magnetic field. The path of the charged particle in the magnetic field will be

A freshly prepared radioactive sample of half life 1 hour emits radiations that are 128 times as intense as the permissible safe limit. What is the minimum time after which the sample can be safely used?

Match List - I with List - II.

List - I	List - II (Physical Quantity) (S.I. Unit)
(A) Electric Field intensity	(I) Coulomb/metre
(B) Electric dipole moment	(II) Newton (metre)\(^2\)/Coulomb
(C) Linear charge density	(III) Newton/Coulomb
(D) Electric flux	(IV) Coulomb - metre

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On connecting a device X in a series circuit with a battery and a resistor, a current passes through the circuit. On reversing the polarity of the battery, the current in the circuit drops to almost zero. The device X may be a

dentify the correct statement(s) among the following:
(A) An electric bulb connected with a capacitor in series with electric DC source, glows with full brightness.
(B) An electric bulb connected with capacitor in series with an AC source, does not glow.
(C) An electric bulb connected with capacitor in series with a electric DC source, does not glow.
(D) An electric bulb connected with capacitor in series with an AC source, glows well.
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If A and B are independent events, then which of the following is not true?

Read the given paragraph carefully and answer the following questions:
Since the DNA is enclosed within the membranes, we have to break the cell open to release DNA along with other macromolecules such as RNA, proteins, polysaccharides and also lipids. This can be achieved by treating the bacterial cells/plant or animal tissue with enzymes such as lysozyme (bacteria), cellulase (plant cells), chitinase (fungus). There are some basic steps in genetically modifying an organism (i) identification of DNA with desirable genes; (ii) introduction of the identified DNA into the host; (iii) maintenance of introduced DNA in the host and transfer of the DNA to its progeny. Agrobacterium tumifaciens, a pathogen of several dicot plants is able to deliver a piece of DNA known as 'T-DNA' to transform normal plant cells into a tumor and direct these tumor cells to produce the chemicals required by the pathogen. Other molecules can be removed by appropriate treatments and purified DNA ultimately precipitates out after the addition of chilled ethanol. Selection of recombinants due to inactivation of antibiotics is a cumbersome procedure because it requires simultaneous plating on two plates having different antibiotics. Therefore, alternative selectable markers have been developed which differentiate recombinants from non-recombinants on the basis of their ability to produce colour in the presence of a chromogenic substrate. In this, a recombinant DNA is inserted within the coding sequence of an enzyme, ß-galactosidase. This results into inactivation of the gene for synthesis of this enzyme, which is referred to as insertional inactivation.
Which enzyme is not used to lyse the cells for extraction of DNA?

Answer the question on the basis of passage given below :
Nitrogen differs from rest of the members of group 15 due to its small size, high electronegativity, high ionization enthalpy and non-availability of d orbitals. Nitrogen has unique ability to form pa - pa multiple bonds with itself and with other elements having small size and high electronegativity. Heavier elements of this group do not form pa - pr bonds as their atomic orbitals are so large and diffuse that they cannot have effective overlapping.
Arrange the following in decreasing order of their basic strength :
A. PH3 \(_3\)
B. \(AsH _3\)
C. \(NH _3\)
D. \(SbH _3\)
E. \(BiH _3\)
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Which of the following statements is true for \(f(x)=(x-1)^3(x-2)^2\)?
(A) f(x) decreases on \(\left(-\infty, \frac{8}{5}\right)\)
(B) f(x) increases on \(\left[\frac{8}{5}, 2\right]\)
(C) f(x) has point of inflection at x = 1
(D) f(x) decreases on \((2, \infty)\)
Choose the correct answer from the options given below:

Based on CFT, in octahedral crystal field, d orbitals split into orbitals of \(t_{2g}\) and \(e_{g}\) sets. Which d orbitals forms the \(t_{2g}\) set?