The two possible positions of an object kept in front of a lens of power +5.0 D, so that the image formed in both cases is four times magnified, are
(A) -30 cm
(B) -25 cm
(C) -15 cm
(D) -45 cm
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A 50 Hz alternating current is flowing in a 28 mH coil. The reactance of the coil is

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:

The velocity of an EM wave in a given medium is \( \vec{V} = 3 \times 10^8 \hat{j} \). When electric field oscillates along z-axis, then direction of oscillation of magnetic field at that time should be :

A wheel with 10 metallic spokes each of length 1.0 m long is rotated with a speed of 240 rev/min in a plane normal to magnetic field of 0.4 G at the place, the induced emf between the axle and the rim of the wheel is: Given that 1 G = \(10^{-4}\) T.

A circular conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An emf is induced in the loop if:
A. it is displaced in the same plane in magnetic field
B. it is rotated about its axis
C. it is rotated about a diameter
D. it is converted into square loop in the same plane:
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Three charges, +Q, q and +Q are placed with q at mid point of the line joining the other two charges. For the system of charges to be in equilibrium, the value of q is

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Answer the question on basis of passage given below :
Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.

List - I	List - II
A. Mn2+	I. Yellow
B. \(F e 3+\)	II. Green
C. \(N i 2+\)	III. Blue
D. \(Cu 2+\)	IV. Pink

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Arrange the metal ions of the following compounds in increasing order of oxidation number:
(A) \(TiCl _3\)
(B) \(CrF _6\)
(C) ZnO
(D) \(Mn _2 O _7\)
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If \(f(x)=2 x^3-15 x^2+36 x+1, x \in[1,5]\), then the absolute minimum value of \(f(x)\) is:

The distance of a point \((1, -1, 0)\) from the plane \(\vec{r} \cdot (3\hat{i} - 2\hat{j} - 6\hat{k}) = 4\) is:

If matrices \(A=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]\) and \(B=\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]\), then \(B A\) is equal to: