An unpolarized light of intensity \(I_0\) is passed through a polariser and is incident on an analyser making an angle of \((\pi/6) \text{ rad}\) with that of the polariser. The intensity of the light transmitted from the analyzer is

The reflected and the refracted rays are perpendicular to each other when light is incident on a transparent denser medium having refractive index \( \mu = \sqrt{3} \). The angle of incidence is

Two point charges \( 3 \text{ } \mu\text{C} \) and \( -3 \text{ } \mu\text{C} \) are located at points \( A: (3 \text{ cm}, 0, 0) \) and \( B: (-3 \text{ cm}, 0, 0) \), respectively. The electric field at the origin is

What is the total electric flux coming out from a closed surface enclosing an alpha particle? Given \(e=1.6 \times 10^{-19} C\)

Identify the correct statements.
(A) The energy (E) and momentum (p) of a photon are related by p = E/c.
(B) The electrons and photons of the same wavelength, possess the same momentum.
(C) One photon having energy more than work function can emit one photo electron.
(D) Photons do not carry momentum.
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The binding energy per nucleon for \( ^{56}Fe \) is

Which of the following statements are true about electromagnetic waves?
(A) Accelerated charges radiate electromagnetic waves.
(B) The frequency of the electromagnetic wave equals the frequency of oscillation of the charge.
(C) No material medium is involved in the vibrations of the electric and magnetic fields.
(D) Electromagnetic waves of different wavelengths have different velocities in free space/vacuum.
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A solenoid with 100 turns per metre carries a current of 1.2 A. The magnetic intensity inside the solenoid is :

Let \(f(x)=x^3-6 x^2+9 x-8\) be a function, then which of the following statements are TRUE?
(A) \(f^{\prime}(x)=3(x-1)(x-3)\)
(B) The critical points of the function are \(x=1\) and \(x=3\)
(C) \(x=1\) is the point of local minimum
(D) The local maximum value is -4
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Answer the question on the basis of passage given below:
One of the notable features of the transition element is the great variety of oxidation states it may show in its compounds. The elements which give the greatest number of oxidation states occur in or near the middle of the series. Manganese, for example exhibits all the oxidation states from 2 to +7. The lesser number of oxidation states at the extreme ends is either due to losing or sharing of few electrons (Se, Ti) or too many d electrons of higher valence. Early in the first series scandium (II) is virtually unknown and titanium (IV) which is more stable than Ti (III) or Ti (II). On the other end, the only oxidation state of zinc is \(+ 2\).
Ambidentate ligand among the following is
A. NCS
B. \(C _2 O _4^{2-}\)
C. SCN
D. \(H _2 NCH _2 CH _2 NH _2\)
E. \(NO _2\)
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Three magnetic materials : (A) Paramagnetic, (B) Diamagnetic, (C) Ferromagnetic. The correct order of increasing magnetic susceptibility is :

The sun maintains its shine because of the

Match List-I and List-II

List-I	List-II
A. Phosphine	I. Catches fire in air
B. Chlorine water	II. Smoke screen
C. White phosphorus	III. Crown structure
D. Sulphur monoclinic and rhombic	IV. Bleaching agent

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