A parallel plate capacitor with air between the plates has a capacitance of 9 pF. What will be the capacitance if the distance between the plates is reduced to half and the space between the plates is filled with a dielectric of dielectric constant 7?

Electromagnetic waves travel in a medium at a speed of \( 1.5 \times 10^8 \text{ m/s} \). The relative permeability of the medium is 0.4. The relative permittivity of the medium will be:

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

An ac source of variable angular frequency and constant amplitude is connected in series with a capacitance C and an electric bulb of resistance R. When angular frequency is increased then :

Charge on a conducting metal sphere is present :

A cylindrical, straight long wire having radius 'a' is carrying current 'I' uniformly distributed inside the wire. As per Ampere's circuital law, the magnetic field inside the wire at any distance r, (r < a) is given by:

A uniformly charged sphere of \( 80 \text{ } \mu\text{C} \) and radius 2 cm is placed in air.
The electric field intensity at a point 20 cm from the center of the sphere is:

Read the passage carefully and answer the Questions
According to Valence Bond theory, the metal atom or ion under the influence of ligands can use its ( \(n-1\) )d, ns, np or \(n s, n p, n d\) 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. While the VB theory, to a larger extent, explains the formation, structures and magnetic behaviour of coordination compounds, it suffers from the many shortcomings. The Crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. The five \(d\) orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands in a complex, it becomes asymmetrical and the degeneracy of the \(d\) orbitals is lifted. It results in splitting of the \(d\) orbitals. The pattern of splitting depends upon the nature of the crystal field.
Which of the following is not true about the limitations of VBT

The mass of the chlorine \( {}_{17}^{35}\text{Cl} \) nucleus is 34.98 amu, which has protons of mass 17.133025 amu and neutrons of mass 18.155970 amu.
The binding energy of the nucleus is nearly:

Among the following, which is a non-essential amino acid?

If \(A=\left[\begin{array}{lll}-1 & 2 & 3\end{array}\right], B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right], C=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]\) and \(D=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]\) then AB + CD is equal to :

As astronomical telescope of ten fold angular magnification has a length of 44 cm. The focal length of the objective is:

A cell is prepared by dipping a Cu rod in \(1\ M\ CuSO_4\) solution and Sn rod in \(1\ M\ SnCl_2\) solution.
The standard electrode potential of Cu is \(+0.34\ V\) and Sn is \(-0.14\ V\). Emf of cell will be :