A charged particle is moving in a cyclotron. What is the effect on time for one revolution of this charged particle, when its radius of the orbit is doubled?

Which of the following statements are correct?
(A) The resistance of a conductor and its resistivity both depend on temperature.
(B) For a conductor of 1 m length and of \( 1 \text{ m}^2 \) cross-sectional area, the resistance is equal to its resistivity
(C) Resistance and resistivity both depend on cross-sectional area
(D) The resistivity of two wires made of same material but of different dimensions is the same.
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A capacitor of unknown capacitance is connected with a battery of V volts. The charge stored in it is \( 200 \, \mu\text{C} \). When the potential of the capacitor is reduced by 100 volts, the charge stored in it becomes \( 150 \, \mu\text{C} \). The unknown capacitance is:

Choose the logic gate represented by the following combination of logic gates.

Choose the correct statements:
A. In uniform electric field E, the net force on electric dipole is zero.
B. The torque on dipole in electric field is \( \tau = PE \cos \theta \), where \( \theta \) is angle between \( \vec{P} \) and \( \vec{E} \).
C. In non uniform Electric field, when dipole moment P is parallel to E, the dipole has a net force in the direction of decreasing field.,
D. The direction of torque is perpendicular to both \( \vec{P} \) and \( \vec{E} \).
E. The net torque is zero if E is not uniform.
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The experimental circuit arrangements for studying V-I characteristics of a p-n junction diode are given below:

Identify the circuit for forward bias and for reverse bias.

Match List-I with List-II

List-I (Electromagnetic waves)	List-II (Wavelength range)
(A) X-rays	(I) 1 mm to 700 nm
(B) Radio waves	(II) 0.1 m to 1 mm
(C) Infrared waves	(III) 1 nm to \( 10^{-3} \) nm
(D) Microwaves	(IV) >0.1 m

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complez to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_{\circ}\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron
pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
What will be the crystal field splitting energy for tetrahedral \(\left[ CoCl _4\right]^{2-}\) if its value for octahedral \(\left[ CoCl _6\right]^{4-}\) is \(18,000 cm^{-1}\) ?

Match List-I with List-II.

List-I	List-II
A. Reimer - Tiemann reaction	I. Benzene
B. Kolbe's reaction	II. Picric acid
C. Nitration of phenol with conc. \(HNO _3\)	III. Salicylic acid
D. Reaction of phenol with zinc dust	IV. Salicyaldehyde

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A magnetic substance has a susceptibility \( - 0.05 \) at 300 K. The magnetic susceptibility at 600 K is :

Graphite is a good conductor of electricity due to the presence of -

For any square matrix \(A ;\left(A-A^{\prime}\right)\) is :

The step 'D' in the figure depicts: