What is the de Broglie wavelength associated with an electron accelerated through a potential difference of 144 V?

If \( \lambda_1 \) and \( \lambda_2 \) are the longest wavelengths of the Lyman and Paschen series respectively, then \( \lambda_1 : \lambda_2 \) is:

Identify the correct statement among the following in the context of a nuclear reactor.

Which of the following statements is NOT correct?

A metal cube of side 0.1 m is uniformly charged by 18 \( \mu C \). Its surface charge density will be

A hot wire voltmeter measures the voltages across the inductor, the capacitor and the resistor as 150 V, 100 V and 50 V across a series, LCR circuit. If resistance is \( 100 \, \Omega \), the current in the circuit is :

A bar magnet is released from rest along the axis of a very long, vertical copper tube. After some time, the magnet will

Name the reaction when a mixture of acetaldehyde and propanal is treated with aqueous alkali solution.

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.
Which of the following pair of ions is colourless according to CFT ?

The value of the integral \(\int_{-1}^1|x| d x\) is :

A slab of material of dielectric constant k has the same area as the plates of a parallel plate capacitor, but has a thickness \( \frac{3d}{4} \). Where d is the distance between plates of capacitor. The ratio of the capacitance with dielectric inside it to its capacitance without the dielectric is:

Certain Aldehydes, Retore and certain alcohol undergo iodoform test. Certain Aldehydes ketones undergo aldol condensation. While certain aldehydes undergo Cannizaro's reaction. Aldehydes responds to tollen reagent and fehling reagent test.
Which amongst the following undergo iodoform test?
A. \(CH_3OH\)
B. \(CH_3CH_2OH\)
C. \(CH_3CH(OH)CH_3\)
D. \(CH_3CH_2CH_2OH\)
Choose the correct option

Arrange the steps of xerarch succession in a proper sequence.
A. Appearance of bryophytes
B. Forest community
C. Invasion of lichen on a bare area
D. Appearance of shrubs
Choose the correct answer from the options given below: