The waves used by artifical satellite for communication purposes are

An object is placed before a convex lens and its real image is obtained. Now if half of the surface is covered with paper. The result will be :

Ten capacitors each of \( 2 \mu \text{F} \) capacity were arranged in two rows such that first row contains 6 capacitors in series where as the rest were in second row. The equivalent capacitance of the network is :

Match List-I with List-II

List-I (Quantity)	List-II (Variation with distance r)
(A) Electric field intensity (E) due to a single charge	(I) \( \propto \frac{1}{r} \)
(B) Electric field intensity due to electric dipole	(II) \( \propto \frac{1}{r^4} \)
(C) Electric potential (V) due to a single charge	(III) \( \propto \frac{1}{r^3} \)
(D) Electric field intensity due to a quadrupole	(IV) \( \propto \frac{1}{r^2} \)

Choose the correct answer from the options given below:

\( (1/16) \)th of the initial amount of a certain radio-active isotope remains undecayed after two hours. The half life of the isotope would be :

Choose the correct statement(s)
A. In photo electric effect, the minimum negative potential to the plate A for which photocurrent is zero is called saturation potential.
B. Maximum kinetic energy of photoelectrons is directly proportional to intensity of incident radiation.
C. \(K_{\text {max }}=e V_o\)
D. Photocurrent becomes zero at stopping potential.
E. For different intensities of light, stopping potential is different.
Choose the correct answer from the options given beow:

During transmission of electrical energy by transformer, near the consumer

Equation of a line is \(\frac{x-3}{2}=\frac{4-y}{3}=\frac{2-z}{4}\) then its direction cosines are:

Read the Passage carefully and answer the the questions
Insulin consists of two short polypeptide chains : chain A and chain B, that are linked together by disulphide bridges. The first clinical gene therapy was given in 1990 to a 4-year old girl with adenosine deaminase (ADA) deficiency. This enzyme is crucial for the immune system to function. Recombinant DNA technology, Polymerase Chain Reaction (PCR) and Enzyme Linked Immuno-sorbent Assay (ELISA) are some of the techniques that serve the purpose of early diagnosis of diseases. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (α-1-antitrypsin) used to treat emphysema. Biopiracy is the term used to refer to the use of bio-resources by multinational companies and other organisations without proper authorisation from the countries and people concerned without compensatory payment.
Deficiency of adenosine deaminase (ADA) can be permanently cured by -

Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B is

At \(6 \%\) converted quarterly, the present value of perpetuity of 6,000 payable at the end of each quarter (in rupees) is :

The value of \(-\operatorname{cosec}^2\left(\cot ^{-1} y\right)+\sec ^2\left(\tan ^{-1} x\right)\) is equal to :

Let \(f(x)=\left\{\begin{array}{ll}2 x-1, & x<1 \\ 1, & x=1 \\ x^2, & x>1\end{array}\right.\) then at \(x=1\)