A parallel plate air capacitor is charged, and then the battery is disconnected. Now on inserting a dielectric between the plates of the capacitor, which of the following change:
1. potential difference between the plates
2. charge on the plates
3. electric field between the plates
4. energy stored in the capacitor
Choose the correct answer from the options given below:

Kinetic energies of four particles a, b, c, d of equal masses are given below. Arrange them in order of their decreasing de-Broglie wavelengths.
(A) \((KE)_a = 1 \text{ eV}\)
(B) \((KE)_b = 0.01 \text{ eV}\)
(C) \((KE)_c = 4 \text{ eV}\)
(D) \((KE)_d = 16 \text{ eV}\)
Choose the correct answer from the options given below:

Match List I with List II

LIST I	LIST II
A. Cyclotron frequency	I. \(\frac{N A B}{K R}\)
B. Magnetic field due to a circular coil	II. \(\frac{q B}{2 \pi m}\)
C. Magnetic field inside a toroid	III. \(\frac{\mu_0 N I}{2 \pi R}\)
D. Voltage sensitivity	IV.\(\frac{\mu_0 I}{2 R}\)

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In a common emitter amplifier the audio signal voltage across the collector resistance of 2 \( k\Omega \) is 2 V. The current amplification factor is 50. The value of base current is:

In the circuit shown below, \(C_1 = 6 \mu F\), \(C_2 = 3 \mu F\) and battery \(B = 40 V\). Initially, switch \(A_1\) is opened and the switch \(A_2\) is closed. Now switch \(A_2\) is opened and \(A_1\) is closed. The charge on \(C_2\) will be

By using Einstein photoelectric equation, if we consider kinetic energy of photo electrons on y-axis and frequency of incident radiation on x-axis. The slope of the graph will represent (the symbols have their usual meanings)

Two batteries of emf 5 V with internal resistance 2 \( \Omega \) and 6 V with internal resistance 3 \( \Omega \) are connected in series with an external resistor. If the current in the circuit is 0.5 A, then the resistance of the resistor is

Homologous organs represent:

Werner was the first to describe the bonding features in coordination compounds. But his theory could not answer basic questions like :
(i) Why only certain elements possess the remarkable property of forming coordination compounds ?
(ii) Why the bonds in coordination compounds have directional properties ?
(iii) Why coordination compounds have characteristics magnetic and optical properties ?
Many approaches have been put forth to explain the nature of bonding in coordination compounds vix. Valence Bond Theory (VBT), Crystal Field Theory (CFT), Ligand Field Theory (LFT) and Molecular Orbital Theory (MOT).
We shall focus our attention on elementary treatment of the application of VBT and CFT to coordination compounds.
According to this theory, the metal atom or ion under the influence of ligands can use its ( \(n -1\) )d, ns np or ns, np, nd orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on.
These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding.
Predict the type of hybridisation state in \(\left[ CoF _6\right]^{3-}\)

Arrange the given steps involved in gel electrophoresis used for separation of DNA fragments ?
(A) Exposure to UV light
(B) Staining with ethidium bromide
(C) Moving of DNA fragments towards anode
(D) Elution
Choose the correct options given below

The relation R on the set of real numbers defined by \(R=\left\{(a, b): a \leq b^2\right\}\) is
(A) Reflexive
(B) Not symmetric
(C) Neither reflexive nor transitive
(D) Transitive
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A parallel beam of light of wave length 500 nm in incident normally on a single slit of width \( 10^{-6} \, \text{m} \). The light is focused by a convex lens on a screen placed in focal plane.

Arrange the following solutions in increasing order of their concentration.
(A) \(7.5 \text{ g } KCl\) (74.5 g \(mol^{-1}\)) in 100 mL solution
(B) \(3 \text{ g } Urea\) (60 g \(mol^{-1}\)) in 1 L solution
(C) \(3.6 \text{ g } glucose\) (180 g \(mol^{-1}\)) in 100 mL solution
(D) \(4 \text{ g } NaOH\) (40 g \(mol^{-1}\)) in 1 L solution
Choose the correct answer from the options given below: