The induced e.m.f in a coil rotating in a uniform magnetic field will increase if
A. Total number of turns in the coil decreases
B. Magnetic field increases
C. Speed of rotation of coil decreases
D. Area of the coil increases
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An electron (mass \(9 \times 10^{-31} \text{ kg}\) and charge \(1.6 \times 10^{-19} \text{ C}\)) moving with a speed of \(5.0 \times 10^7 \text{ m/s}\) enters a region of uniform magnetic field of strength 0.04 T which is perpendicular to its velocity. The radius of the circular path it follows is:

A coil having area A is placed in a magnetic field. The field is perpendicular to the plane of the coil. When the magnetic field changes from \( B_0 \) to \( 4B_0 \) in a time interval t, the magnitude of emf induced in the coil will be :

A telescope has an objective of focal length \(3 0 ~ c m\) and an eyepiece of focal length \(3 . 0 ~ c m\). It is focused on a scale distant 2.0 m . For seeing with relaxed eye, the separation between the objective and eyepiece would be:

A spherical metallic conductor of radius \(6 . 0 ~ c m\) is held in air. The maximum charge it can hold if
dielectric strength of air is \(20 kV / cm\) will be :
\(\left(\text { Take } \frac{1}{4 \pi \epsilon_0}=9 \times 10^9 N m^2 C^{-2}\right)\)

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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Match List-I with List-II

List-I	List-II
(A) Light	(I) 1 mm to \(10^{-3} nm\)
(B) Infra-red	(II) 700 nm to 400 nm
(C) X-rays	(III) 400 nm to 1 nm
(D) UV rays	(IV) 1 mm to 700 nm

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In an AC circuit, if the peak voltage is 20 V, then root mean square (rms) voltage will be

In series LCR circuit, the rms potential drop across R, L and C are V, 2 V and 2 V volts respectively. The source voltage is:

Which of following statement(s) are correct for Glucose ?
(A) Glucose is a monosaccharide sugar
(B) Glucose is an aldohexose and is also known as dextrose.
(C) Glucose can be hydrolyzed.
(D) Glucose is a reducing sugar.
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Which of the following is not a stop codon?

Arrange the following electrolytes in the increasing order of van't Hoff factor (i) for complete dissociation of solute.
(A) \([\text{Co}(\text{NH}_3)_6]\text{Cl}_3\)
(B) \(\text{MgCl}_2\)
(C) \(\text{K}_4[\text{Fe}(\text{CN})_6]\)
(D) \(\text{KCl}\)
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Read the passage carefully and answer the Questions
In the formation of coordination complexes, if the inner \(d\) orbital \((n - 1)d\) is used in hybridisation, the complex, is called an inner orbital or low spin or spin paired complex. And if it uses outer \(d\) orbital \((nd)\) in hybridisation (like \(sp^3d^2\)), it is called outer orbital or high spin or spin free complex. The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the complex. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting. For coordination complexes, the magnetic moment is determined by the number of unpaired electrons and is calculated by using the 'spin-only' formula, \(\mu = \sqrt{n(n+2)}\) where \(n\) is the number of unpaired electrons and \(\mu\) is the magnetic moment in units of Bohr magneton \((BM)\). The coordination compounds are of great importance. These compounds are widely present in the mineral, plant and animal worlds and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine.
Fe(II) octahedral complexes can show different 'spin only' magnetic moments for arrangements in the presence of weak and strong ligands. The 'spin only' magnetic moments of these complexes with weak and strong ligands, respectively, are