The wavelength of second line of Balmer series in terms of Rydberg constant R is

Match List-I with List-II

List-I (Quantity)	List-II (Variation with distance)
(A) Electric field due to a point charge	(I) Inversely proportional to the cube of the distance
(B) Electric potential due to a point charge	(II) Inversely proportional to the square of the distance
(C) Electric field due to uniformly charged infinite plane sheet	(III) Inversely proportional to the distance
D) Electric field due to an electric dipole	(IV) Independent of the distance

Choose the correct answer from the options given below:

A telescope has an eye piece of focal length 5.0 cm. The objective lens has focal length 12 times that of the eye-piece. In normal adjustment, what is the separation between the two lenses?

For a full wave rectifier, if the input frequency is 50 Hz, the output frequency will be:

What mode of propagation is used for the Ultra high frequency range?

Consider two different hydrogen atoms. The electron in each atom is in first excited state. According to Bohr's model, electrons will have :

Positively charged particles are projected into a magnetic field. If the direction of magnetic field is along the direction of motion of the charged particles, the particles will experience

A bag contains 4 red and 6 black balls. Two balls are drawn in succession without replacement. The probability that the first is red and the second is black is

Copper ions released by CuTs plays a role in contraception by
A. Increasing phagocytosis of sperms
B. Suppressing fertilizing capacity of sperms
C. Inhibiting ovulation
D. Suppressing the motility of sperms
Choose the correct answer from the options given below:

The ground state energy of hydrogen atom is -13.6 eV. The kinetic and potential energies of the electron in this state will be

If \(X\) is normal distribution random variable with mean \(\mu=10\) and standard deviation \(\sigma=2, Z\) is standard normal variable and \(F(Z)\) is cumulative distribution function, then which of the following are true?
[Given that \(F(1.5)=0.9332, F(3)=0.9986, F(2.25)=0.9878\) and \(F(1)=0.8413\) ]
(A) \(P(X<13)=0.9332\)
(B) \(P(X>16)=0.9986\)
(C) \(P(12<X<14.5)=0.1465\)
(D) \(P(X>8)=0.8413\)
Choose the correct answer from the options given below:

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 \(\left[ CoF _6\right]^{3-}\)

If \(\vec{a}, \vec{b}, \vec{c}\) are unit vectors such that \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then the value of \(\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}\) is: