Which of the following statements are correct?
(A) All of electrostatics is basically a consequence of Coulomb's law and the super position principle.
(B) A change producing the electric field is a test change.
(C) Electric and magnetic fields are regarded as physical entities.
(D) In water molecule centres of positive changes and negative changes do not coincide.
(E) Electrostatic field lines cannot form closed loops.
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The electric field is defined as \(\vec{E} = \lim_{q_0 \to 0} \frac{\vec{F}}{q_0}\) where \(q_0\) is the test charge and \(\vec{F}\) force on \(q_0\) due to the source charge. The meaning of \(\lim_{q_0 \to 0}\) is :

An electric dipole of dipole moment \(p\) is rotated in an electric field of magnitude \(E\) from the most stable orientation to most unstable orientation. The work done in the process is:

In the single slit experiment of diffraction, the aperture of the slit is 2 mm. If a monochromatic light of wavelength 600 nm is incident normally on the slit, the distance between \( 2^{\text{nd}} \) order minima and the \( 4^{\text{th}} \) order maxima on the screen placed 2 m away from the slit will be:

Two identical short bar magnets each of magnetic moment \( 12.5 \text{ Am}^2 \) are placed with 10 cm separation between their centers as shown in the figure. The magnitude of magnetic field at O is

Some heat is developed in a uniform metallic wire across the ends of which a constant voltage V is applied. The heat developed will be tripled if

The wavelength of radiation emitted, when \( \text{He}^{+} \) makes a transition from the state n = 3 to the state n = 2 will be :
(Take Rydberg constant \( R = 1.097 \times 10^{7} \text{ m}^{-1} \))

Name the reaction by which Freons 12 are manufactured

\(\int \frac{d x}{2 \sin ^2 x+5 \cos ^2 x}\) is equal to

Which of the following will produce turbidity most readily when treated with conc. HCl in presence of anhydrous \(ZnCl _2\) (Lucas reagent)?

Question based on the following passage :
P-Block elements are placed in group 13 to 18 in the periodic table. Group 15 is nitrogen family.
Nitrogen can react with hydrogen, oxygen, halogens etc. It shows multiple oxidation states in its various oxides i.e. \(N_2O, N_2O_3, N_2O_5\) etc. Important allotropic forms of phosphorus are white, red and black phosporus. Various compounds of phosphorus are phosphine, \(PCl_3, PCl_5\) and oxoacids of phosphorus. Oxidation states \(+1\) to \(+5\) are seen in various oxoacids of phosphorus. Group 17 elements are collectively known as halogens. Bond dissociation enthalpy of \(F_2\) is smaller than \(Cl_2\).
The gases present in group 18 are chemically unreactive, they form only few compounds. Neil Bartlett (in 1962) observed the reaction of a noble gas. Since then, many noble gas compounds have been synthesised.
Following statements are given regarding structure of \(N_2O_5\) :
(A) It has an angular structure
(B) It has a planar structure
(C) There are 6 sigma and 2 pi bonds
(D) There are 5 sigma and 2 pi bonds
(E) There are 6 sigma and 3 pi bonds
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Mr. Vishnu has an initial investment of Rs. 80,000 in an investment plan. After 3 years, it has grown to Rs. \(1,00,000\), then his rate of return is

Match List-l with List-ll

List - l (Inverse Trigonometric function)	List - ll (Principal values of arguments)
(A) \(\sin ^{-1}\left(-\frac{1}{2}\right)\)	(I) \(-\frac{\pi}{3}\)
(B) \(\cos ^{-1}\left(-\frac{1}{2}\right)\)	(II) \(\frac{3 \pi}{4}\)
(C) \(\tan ^{-1}(-\sqrt{3})\)	(III) \(-\frac{\pi}{6}\)
(D) \(\sec ^{-1}(-\sqrt{2})\)	(IV) \(\frac{2 \pi}{3}\)

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