A power transmission line feeds input power at 2400 V to a step-down transformer with its primary windings having 5000 turns. The output power is delivered at 240 V by the transformer. If the current in the primary coil of the transformer is 5 A and its efficiency is 95% then the current in the secondary will be:

The wavelength of the first spectral line of an element is 5893 Å. The first excitation energy is :

A parallel plate capacitor with air between the plates has a capacitance of 6 pF. What will be the capacitance if the distance between the plates is reduced to half and the space between them is filled with a substance of dielectric constant 5?

The ratio of speed of light in vacuum to the speed of light in a medium is :
Where \(\mu_{ r }=\) relative permeability of the medium,\(\epsilon_{ r }=\) relative permittivity of the medium

The figure shows the energy level diagram of the hydrogen atom. Out of the six given transitions, which transition results in the emission of a photon of wavelength 4870 \( \text{\AA} \)? : (\( h = 6.63 \times 10^{-34} \text{ Js} \))

On an optical bench of 150 cm, a student used a concave mirror of focal length 20 cm to observe object distance (u) and image distance (v) respectively as :
(A) (40 cm, 10 cm)
(B) (60 cm, 15 cm)
(C) (80 cm, 38 cm)
(D) (60 cm, 30 cm)
(E) (40 cm, 40 cm)

A printed page is kept pressed by a glass cube-shaped paper-weight of edge 3.0 cm. The refractive index of the glass is \( \mu = 1.5 \).
By what amount will the printed letters appear to be shifted when viewed from the top?

Read the given passage and answer the question.
ABO blood groups in human beings are controlled by the gene I. The plasma membrane of the red blood cells has sugar polymers that protrude from its surfaces and the kind of sugar is controlled by the gene. The gene (I) has three alleles IA, IB and I. The alleles IA and IB produce a slightly different form of the sugar while allele i does not produce any sugar. Because humans are diploid organisms, each person possesses any two of the three I gene alleles, IA and IB are completely dominant over I.
Select the correct option for number of alleles present in ABO blood groups:

If \(A = \begin{bmatrix} 1 & 2 & -1 \\ 2 & 3 & 0 \\ 1 & -1 & 2 \end{bmatrix}\), then Adj(A) is:

Read the passage carefully and answer the questions
Many halogen containing organic compounds are present in nature and some of them are clinically useful. These classes of organic compounds find a wide range of applications in our daily life as well as in industries. Many of the polyhalogen compounds are useful too in agriculture. However, some of these compounds cannot be easily decomposed and are thus considered to be environmental hazards. These halo compounds are prepared via different synthetic routes where a variety of organic compounds can be used as substrates such as amines, hydrocarbons etc. They are used as solvents for relatively non-polar compounds. These compounds exhibit substitution and elimination reactions, in addition to their reactions with different metals, which leads to the formation of a versatile starting material for others organic compounds.
The reaction of aryl halide with sodium and dry ether is known as

The amount of biomass or organic matter produced per unit area over a time period by plant during photosynthesis is defined as:

The ratio of the intensity of unpolarised incident light and polarised emergent light is :

At a certain place, the horizontal component is \(B_0\) and the vertical component is \(V_0\). If \(B_0 = V_0\) then the total magnetic field at that place will be :