The wavelength of emitted wave due to energy transition in hydrogen atom from n = 3 to n = 2 energy level will be

A ray of light passes through an equilateral glass prism such that the angle of incidence (i) = angle of emergence (e). If the angle of emergence is 0.75 times the angle of the prism, the refractive index of the prism will be

The ratio of energies of photons produced due to the transition of an electron of hydrogen atom from its
i. second permitted energy level to the first level and
ii. the highest permitted energy level to the first energy level is

In a Young's double-slit experiment, two slits are 1.5 mm apart while the screen is 1.2 m away. When a light of wavelength 600 nm is incident on slits, the fringe width will be

Which of the following is NOT correct in the case of the output obtained from a full wave rectifier?

Choose the correct statements:
A. \(\alpha\)-particle close to the nucleus suffers large scattering.
B. Hydrogen atom consists of a single proton and a single neutron.
C. Chadwick discovered neutron.
D. In \(\gamma\)-decay, photons are emitted.
E. The nucleus force between two nucleons falls rapidly to zero as their distance is less than a few femtometers.
Choose the correct answer from the options given below:

Two resistances are connected in two gaps of a metre bridge. The balance point is 20 cm from the zero end. A resistance of \(3 \Omega\) is connected in series with the smaller resistance, then the null point shifts to 40 cm. The value of the smaller resistance is:

Answer the question on the basis of passage given below :
Strong oxidising agents oxidise toluene and its derivatives to benzoic acid. However, it is possible to stop the oxidation at the aldehyde stage with suitable reagents that convert the methyl group to an intermediate that is difficult to oxidise further.
Conversions that can be done by same reagent are:
(A) Benzaldehyde to 2-nitrobenzaldehyde
(B) Propan-1-ol to propanal
(C) Pent-3-en-2-ol to pent-3en-2-one
(D) Butanal to Butan-1-ol
(E) Methanal to Ethanol
Choose the correct answer from the options given below :

The resistivity of a potentiometer wire is \( 10^{-7} \, \Omega \text{ m} \) and its cross-section area is \( 10^{-6} \text{ m}^2 \). When a current of 0.1 A flows through the wire, its potential gradient is :

The reverse biasing in a p-n junction diode

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 viz. 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.
\(CoCl _3 \cdot 6 NH _3\) gives 3 moles of AgCl on reacting with \(AgNO _3\).
The correct formula for this compound is :

In tobacco plants, RNA interference has been used to develop resistance against_.

The integral \(I=\int \frac{e^{5 \log _0 x}-e^{4 \log _0 x}}{e^{3 \log _0 x}-e^{2 \log _0 x}} d x\) is equal to: