An airliner is flying due east from the USA to France. The Earth's magnetic field acts at \( 60^{\circ} \) to the horizontal and has a strength of \( \sqrt{3} \times 10^{-4} \, \text{T} \), and the aircraft speed is \( 300 \, \text{ms}^{-1} \). The wing span of the aircraft is 60 m. The potential difference induced between the tips of the wings is :

Two wires of equal lengths carrying equal currents bent in the form of two loops, one in square shape and the other in circular shape having one turn only are suspended in same, uniform magnetic field perpendicular to the plane of loops. Choose the correct option

Which of the following statements are correct ?
A. The angle at minimum deviation of a prism is greater for violet light than that for red light.
B. The purpose of microscopes and telescopes is to increase the visual angle.
C. For the diffraction to take place the size of aperture or of the obstacle should be comparable to the wavelength of light.
D. The light scattered in the direction of the incident light is always plane polarised.
E. The source and its virtual image can behave as a coherent sources.
Choose the correct answer from the options given below:

A source of electromagnetic wave of 400 W produces \(10^{20}\)photons per second. Identify the part of the electromagnetic spectrum to which these radiations belong:

Two parallel large thin metal sheets have equal charge densities of \( 5.31 \times 10^{-11} \text{ C/m}^2 \) of opposite signs. If the permittivity of free space is \( \epsilon_0 = 8.85 \times 10^{-12} \text{ C}^2 \text{N}^{-1} \text{m}^{-2} \), the electric field between these sheets will be:

An e.m.f. \( e_s = 50 \sin(314t) \) is applied across a pure capacitor of \( 637 \ \mu\text{F} \).
The instantaneous current \( I \) is:

The impurity atoms with which pure silicon may be doped to make it a p-type semiconductor are those of
A. Phosphorous
B. Boron
C. Antimony
D. Aluminum
E. Graphite
Choose the correct answer from the options given below:

What is the total number of structural isomers possible for the compound with molecular formula \(C _4 H _9 Br\)?

Which one of the following infections is completely curable?

The magnetic field in a plane electromagnetic wave is given by \( B_y = 2 \times 10^{-7} \sin(0.5 \times 10^3 x + 1.57 \times 10^{11} t) \text{ T} \). The frequency of the wave is

Read the passage carefully and answer the given questions. Recombinant DNA Technology Asexual reproduction preserves the genetic information, while sexual reproduction permits variation. Traditional hybridization procedures used in plants and animals breeding very often lead to inclusion and multiplication of undesirable genes along with the desired genes. The techniques of genetic engineering, which include creation of recombinant DNA, use of gene cloning and gene transfer, overcome this limitation and allow us to isolate and introduce only one or a set of desirable genes without introducing genes into the target organism.
What is the purpose of using a gene promoter in recombinant DNA technology?

Read the passage carefully and answer the Questions
\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Equivalent weight of \(KMnO _4\) in its oxidising reactions in acidic medium is taken as

The value of \(\left|\begin{array}{lll}2^x & 1 & 6^x \\ 4^x & 1 & 3^x \\ 2^x & 1 & 6^x\end{array}\right|\), where \(x \neq 0 ;\) is: