Arrange the following electromagnetic waves in the order of their decreasing frequency.
(A) Radio wave
(B) Gamma rays
(C) Ultraviolet ray
(D) Infrared wave
(E) Visible light
Choose the correct answer from the options given below :

A charged particle moves along a circular path in a uniform magnetic field of 0.04 T with a velocity of \( 2 \times 10^5 \text{ m/s} \). The charge to mass ratio of the particle is \( 5 \times 10^7 \text{ C/kg} \). The radius of the circular path of the charged particle is:

A short bar magnet of magnetic moment \(m =0.45 J / T\) is placed in a uniform magnetic field of 0.22 T . If the bar is free to rotate in the plane of the field, what is the potential energy of the magnet in stable and unstable equilibrium respectively?

Which of the following statements related to Wheatstone Bridge are correct?
(A).The bridge is most sensitive when all the four resistances are of the same order
(B). The internal resistance of the cell and the resistance of the galvanometer affect the null point
(C). It does not involve measurement of current and potential difference
(D).Resistances of ammeters and voltmeters do not affect the measurements
Choose the correct answer from the options given below:

The electric field vector associated with electromagnetic wave in free space is given by \(E=40 \cos \left(6 \times 10^8 t-k x\right) V m ^{-1}\). The value of \(k\) in SI unit is :

Two cells of emf 10 V and 6 V, each having internal resistances of \(2 \Omega\) are connected in parallel across points A and B. The equivalent emf of the cells is

A double slits is illuminated by light of wavelength 600 nm. The slits are 0.1 cm apart and the screen is placed 1 m away. The width of maxima is:

Identify the correct statements with respect to human evolution
A. Modern Homo sapiens arose during ice age between 50,000 to 75,000 years.
B. Ramapithecus was more man-like.
C. The brain capacity of Homo erectus was about 650-800 cc.
D. Dryopithecus was more ape-like.
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The point which does not lie in the half plane \(2 x+3 y-12 \leq 0\) is:

Totipotency refers to the capacity of a -

Which of the following statements are true for the minimum deviation position of a prism?
(A). The angle of the prism is twice the angle of refraction.
(B). The refracted ray is parallel to the base of prism.
(C). The angle of incidence is equal to the angle of emergence.
(D). The angle of deviation is half the angle of a prism.
Choose the correct answer from the options given below:

Answer the question on basis of passage given below :
Lyophobic sols like those of metals (Au, Ag, etc) are unstable and are easily precipitated by addition of electrolytes. However, it is observed that the addition of certain lyophilic colloids like gums, soaps, gelatine, etc. to lyophobic colloids (like a metal sol) render lyophobic colloids difficult to coagulate by the addition of electrolytes. The process is known as 'protection' and the lyophilic colloids are termed as Protective colloids. It is believed that the protective action of the lyophilic colloids is due to the covering up of the particles of the lyophobic colloid by those of the lyophilic colloid.
Evidently, smaller the gold number of a protective colloid, the greater is its protective action. In which of the following sols, the colloidal particles will move towards the cathode during electrophoresis?

The corner points of the bounded feasible region determined by the system of linear constraints are (15,0), (40,0), (4, 18) and (6, 12). If objective function is Z = 30x + 20y then the sum of the maximum and the minimum values of Z is