DNA fingerprinting is used for:
(A) Forensic Laboratories for identification of criminals
(B) To identify paternity of an individual
(C) To identify the dead bodies by comparing the DNA of parents or children
(D) To identify racial groups, to rewrite biological evaluations.
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Molarity (M) is defined as number of moles of solute dissolved in:

Intermolecular hydrogen bonding is observed between chloroform and acetone.
Therefore, their binary solution will_
(A) Show positive deviation from Raoult's law
(B) Show negative deviation from Raoult's law
(C) Obey Raoult's law
(D) Show decrease in vapor pressure
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A first order reaction is found to have a rate constant \(k = 5.5 \times 10^{-14}\ s^{-1}\).
Find the half-life of the reaction.

Fog is a colloidal solution of

In the following examples, select the primary alkyl halide
(A). 1-Bromo-3-methylbutane
(B). 2-Bromo-2-methylbutane
(C). 3-Bromo propene
(D). Chlorophenyl methane
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\(\text{R-Br} \xrightarrow{\text{Mg, dry Ether}} \text{P} \xrightarrow{\text{EtOH}} \text{Q}\)
What is Q?

A 200 turns closely wound circular coil of radius 10 cm carries a current of 3.5 A. The magnetic moment of the coil is

A slab of material of dielectric constant K has the same area as the plates of a parallel-plate capacitor but has a thickness \( \frac{1}{4}d \), where d is the separation between the plates. If the slab is inserted between the plates, the potential difference becomes:
(Given: Potential difference across the capacitor without dielectric is \( V_0 \))

match List - I with List - II

List - I	List - II
(A) \(\tan ^{-1}\left(\frac{2}{11}\right)+\tan ^{-1}\left(\frac{7}{24}\right)\)	(I) \(\frac{3 \pi}{4}\)
(B) \(\tan ^{-1} 2+\tan ^{-1} 3\)	(II) \(\pi\)
(C) \(\tan ^{-1} 1+\tan ^{-1} 2+\tan ^{-1} 3\)	(III) \(\tan ^{-1}\left(\frac{1}{2}\right)\)
(D) \(\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)\)	(IV) \(\tan ^{-1}\left(\frac{2}{9}\right)\)

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Let \(A\) be a square matrix of order \(3 \times 3\), then \(|K A|\) is equal to :

Give the reason for low concentration of oxygen in the blood and tissues of people living at high altitude

Answer the question on the basis of passage given below:
In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
In context of the Lanthanoids, which of the following statements is/are NOT correct?
A. There is a gradual decrease in the radii of the members with increasing atomic number in the series
B. Availability of \(4f\) electrons results in the formation of compounds in \(+4\) oxidation state for all the members of the series
C. Because of similar properties, the separation of lanthanoids is not easy
D. \(La(OH)_3\) is least basic among hydroxides of lanthanoids
E. Ce can act as an oxidising agent
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