A circular loop of area \( A = 0.01 \text{ m}^2 \) carrying a current of \( I = 10 \text{ A} \), is held in a magnetic field of \( B = 0.1 \text{ T} \) parallel to the plane of the loop. The torque acting on the loop is-

Identify the correct statements
(A) Electric current arises due to the continuous flow of electrons or ions.
(B) A current flows through a conductor only when there is an electric field within the
conductor.
(C) The drift velocity of electrons is directly proportional to the applied electric field.
(D) The average thermal velocity of the electrons in a conductor is zero.
(E) In the absence of an electric field, the electrons in a conductor are at rest.
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Which of the following is not based on total internal reflection?

A non conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its center :
A. decreases as r increases, for 0 < r < \(\infty\)
B. increases as r increases, for r < R
C. becomes zero.
D. decreases as r increases, for R < r < \(\infty\)
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The capacitance of a parallel plate capacitor with air as medium between the plates is 1 nF. When a material of dielectric constant 5 is filled between the plates, the new capacitance becomes -

Three charges, each equal to +q, are placed at the corners of an equilateral triangle ABC of side 'a' as shown in the figure. P and R are the mid-points of BC and CA. The work done in taking a charge Q from point P to R is:

Match List-I with List-II (here symbols have their usual meanings)

List-I (Physical Quantity / Law)	List-II (Formula)
(A) Snell's law	(I) \( t/\mu \)
(B) Apparent Shift	(II) \( c/v \)
(C) Refractive Index	(III) \(\frac{\mu_2}{\mu_1}\)
(D) Apparent depth	(IV) \( t(1 - \frac{1}{\mu}) \)

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If electron, deutron, \(\alpha\)-particle and proton have same kinetic energy, which one has the largest deBroglie wavelength.

The order of the differential equation \(\left[1+\left(\frac{d y}{d x}\right)^2\right]^2=\left(\frac{d^3 y}{d x^3}\right)\) is:

The correct statement (s) for cubic close packed (ccp) three dimensional structure are :
(A) The number of the neighbours of an atom present in the top most layer is 12.
(B) The efficiency of atom packing is \(74\%\).
(C) The number of octahedral and tetrahedral voids per atom are 1 & 2, respectively.
(D) The unit cell edge length is \(2\sqrt{2}\) times the radius of the atom.
(E) The metals like Be, Cd, Mg, Zn have cubic close packed (ccp) structure.
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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.
Which of the following does not form a lyophilic colloid?

The flux of the electric field \( \vec{E} = 2 \times 10^3 \hat{i} \text{ N/C} \) through a square of 10 cm, on a side whose plane is parallel to the \( xy \) plane is:

In the given complexes, the heteroleptic complexes is/are:
A. \(\left[ Co \left( NH _3\right)_6\right]^{3+}\)
B. \(\left[ Cr \left( H _2 O \right)_6\right]^{3+}\)
C. \(\left[ Ni ( Cl )_2\left( PPh _3\right)_2\right]\)
D. \(\left[ Co \left( NH _3\right)_4 Cl _2\right]^{+}\)
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