Two light beams of intensities in the ratio 25:9 are allowed to interfere. The ratio of the intensities of maxima and minima will be

Match List-I with List-II

List-I (EM wave)	List-II (Production)
(A) Light	(I) Klystron valve or magnetron valve
(B) X-rays	(II) Rapid acceleration/deceleration of electrons in aerials
(C) Microwave	(III) Electrons in atoms move from higher to lower energy level
(D) Radiowave	(IV) Inner shell electrons/ fast-moving electrons decelerated by metal target

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Match List-I with List-II

List-I (Motion of a charge particle)	List-II (Path)
(A) Initial velocity of charge particle parallel to B	(I) Circular Path
(B) Initial velocity of charge particle perpendicular to B	(II) Helical Path
(C) Initial velocity of charge particle inclined to B	(III) Straight Path
(D) Initial velocity of charge particle perpendicular to E	(IV) Parabolic Path

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A Convex lens having a power of one dioptre is made of glass having refractive index 1.48. What will be the power of convex lens made of material with refractive index 1.6 and same dimension

E and V, respectively, denote electric field intensity and electrostatic potential at a point. The correct relation between the two is

An alpha-particle moves with a speed of \( (5 \times 10^5 \hat{i}) \text{ m s}^{-1} \).
It enters a region where there is a magnetic field of magnitude 4 T,
directed at an angle of 45° to the X-axis and lying in the XY-plane.
The magnitude of magnetic force on the alpha-particle is:

At a place, the horizontal component of earth's magnetic field is \( 4 \times 10^{-4} \text{ T} \) and angle of dip is \( 60^\circ \). The value of horizontal component of earth's magnetic field at the equator is :

LED's have following advantages over incandescent low power lamps.
A. Low operational voltage and less power.
B. No warm up time required.
C. LED must at least have a band gap of 1.8 eV .
D.\(GaAs _{1-x} P _x\) is used for making LED's of different colours.
E. The band width of emitted light in LED's is 100 Å to 500Å .
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A light with an energy flux of 25 \( W/cm^2 \) falls on a non-reflecting surface at normal incidence. If the surface has an area of 50 \( cm^2 \) and the total energy falling on the surface is \( 10 \times 10^5 \) J. The total duration of time of the incidence of light is

Which of the following are the assumptions underlying the use of t-distribution?
(A) The variance of population is known.
(B) The samples are drawn from a normally distributed population.
(C) Sample standard deviation is an unbiased estimate of the population variance.
(D) It depends on a parameter known as degree of freedom.
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Let \(A\) and \(B\) be two events in a random experiment with sample space such that \(P(B) \neq 0\) and \(P(A \mid B)=1\).
Which of the following is true?

Read the given passage carefully and answer the questions
Salmonella typhi is a pathogenic bacterium which causes typhoid fever in human beings. Sustained high fever (39° to 40°C), weakness, stomach pain, constipation, headache and loss of appetite are some of the common symptoms of this disease. Typhoid fever could be confirmed by Widal test. Plasmodium enters the human body as sporozoites. The parasites initially multiply within the liver cells and then attack the red blood cells (RBCs) resulting in their rupture. The rupture of RBCs is associated with release of a toxic substance, haemozoin, which is responsible for the chill and high fever recurring every three to four days. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa-associated lymphoid tissue (MALT). In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of regulatory mechanisms. Normal cells show a property called contact inhibition by virtue of which contact with other cells inhibits their uncontrolled growth. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Tumors are of two types: benign and malignant. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body.
The rupture of RBCs is associated with release of a toxic substance__________, which is responsible for the chill and high fever recurring every three to four days.

The de-Broglie wavelength of neutron at \( 127^\circ \text{C} \) is : (Given Boltzmann constant, \( k = 1.38 \times 10^{-23} \text{ J mole}^{-1} \text{K}^{-1}, h = 6.63 \times 10^{-34} \text{ Js} \), mass of neutron \( m = 1.66 \times 10^{-27} \text{ kg} \))