A charged particle moving with a certain velocity enters a uniform electric field perpendicular to its direction. In this context, which of the following statements are correct?
(A) Force acting on the particle is constant
(B) Acceleration of the particle is constant
(C) Velocity of the particle is constant
(D) Displacement of the particle follows a parabolic path
Choose the correct answer from the options given below:

Two parallel long wires carry currents, \( i_1 \) and \( i_2 \) with \( i_1 > i_2 \). When the currents are in same direction, the magnetic field at a point midway between them is \( 10 \mu \text{T} \). If the direction of \( i_2 \) is reversed, the field becomes \( 30 \mu \text{T} \). The ratio of \( i_1/i_2 \) is:

A positively charged glass rod attracts an object. The object must be :

A ray of light is incident on an equilateral prism at an angle of 45° and is refracted parallel to the base of the prism. The angle of deviation would be

The frequency of a photon whose energy is 66.3 eV would be (Given \(h = 6.63 \times 10^{-34} \text{ Js}\))

The maximum distance between the transmitting and receiving antenna for a satisfactory communication in LOS mode is 48 Km . If the height of the receiving antenna is 8 (Given radius of earth \(R_e=6400 km\) )

A solenoid has a core of a material with relative permeability 400. The windings of the solenoid are insulated from the core and carry a current of 1 A. If the number of turns is 800 per metre, the magnetic field inside solenoid will be

The order of reaction with rate law expression \(\frac{d[R]}{dt} = -k\) is:

Consider the two complex ions \(\text{[CoF}_6]^{3-}\) and \(\text{[Co(C}_2\text{O}_4)_3]^{3-}\), which of the following statement (s) is/are false :
(A) Both are octahedral.
(B) \(\text{[Co(C}_2\text{O}_4)_3]^{3-}\) is diamagnetic, while \(\text{[CoF}_6]^{3-}\) is paramagnetic.
(C) Both are outer orbital complexes.
(D) In both the complexes the central metal is in the same oxidation state.
Choose the correct answer from the options given below :

Let \(A=\left[a_{i j}\right]_{3 \times 2}\) and \(B=\left[b_{i j}\right]_{3 \times 4}\) be two matrices.
Then the order of the matrix \(\left(A^T \cdot B\right)^T\) is :

Read the passage carefully and answer the given questions.
DNA Fingerprinting
Polymorphism in DNA sequence is the basis of genetic mapping of the human genome as well as of DNA fingerprinting. DNA fingerprinting involves identification of differences in some specific regions in the DNA sequence called repetitive DNA. It works on the principle of polymorphisms in DNA sequences. The repetitive DNA are separated from bulk genomic DNA. The bulk DNA forms a major peak and the other small peaks are referred to as satellite DNA. These repetitive/satellite DNA sequences show a high degree of polymorphisms and form the basis of DNA fingerprinting.
DNA polymorphism forms the basis of

A runs 9 times slower than B. If B gives A a start of 80 meters, how far must be the winning post on the tracks so that A and B reach there at the same time?

What is the conductivity of a wire of resistance \(0.05 \Omega\), area of cross section \(2 \times 10^{-4} m^2\) and length 50 cm ?