The electric potential at any point in space is given by \( V = 4x^2 \text{ volt} \). The electric field at the point (1 m, 0, 2 m) in SI unit is

In the observations of the experiment of scattering of Alpha-particle, Rutherford concluded about the atom that:
(A) the positive charge and the mass of the atom are concentrated at the center called the nucleus
(B) there is positive charge centralized at one point of the size about \( 10^{-10} \text{ m} \) inside the atom
(C) the atom being electrically neutral, it must have negatively charged electrons moving around the nucleus in different orbits
(D) the nucleus is small, electrons move around, there is no space left empty inside the atom
Choose the correct answer from the options given below:

The current gain of a transistor in a common base arrangement is 0.95. Find the voltage gain if the load resistance of output circuit is 200 \( \text{k}\Omega \) and the input resistance is 200 \( \Omega \)

We can reduce eddy currents in the core of transformer by :

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

A series LCR circuit with an inductor, a capacitor and a resistor of resistance 50 Ω is connected to an ac source of 24 V, 50 Hz. The impedance of the circuit is 56 Ω. The average power dissipated in the circuit is

The wavelength of light coming from a sodium source is 589 nm. Its wavelength in crown glass having refractive index 1.52 is

A wire of resistance 4 R is bent in the form of a circle. The equivalent resistance between two points diametrically opposite on the circle will be

Cyclosporin A, which is used as an immunosuppressive agent, is produced by:

Answer the question on basis of passage given below:
Organic compounds containing carbon -oxygen double bonds ( \(C = O\) ) are called carbonyl compounds. These are highly polar molecules. Hence, their boiling points are higher than hydrocarbons and ethers. Aldehydes can be prepared from dehydrogenation or oxidation of alcohols and by reduction of acylhalides. Ketones are prepared by oxidation of secondary alcohols or by hydration of alkynes etc. Aldehydes and ketones undergo nucleophilic addition reaction with the number of nucleophiles such as HCN , NaHSO3 ammonia derivatives. Carboxylic acids are prepared by the oxidation of primary alcohols, aldehydes and alkenes, by hydrolysis of nitriles. Carboxylic acids are more acidic than alcohols and phenols.
Which of the following is most reactive towards nucleophilic addition reaction ?

The components of the ecosystem are seen to function as a unit when you consider the following aspects -
(A) Productivity
(B) Decomposition
(C) Energy flow
(D) Nutrient cycling
Choose the correct answer from the options given below :

The following statements are based on the osmotic pressure of solutions. The correct statements are
(A) Molar concentration is same for isotonic solutions
(B) Solutions which have same osmotic pressure at same temperature arecalled isotonic solutions
(C) No osmosis occurs when isotonic solutions are separated by semipermeable membrane
(D) A 1.9% Sodium Chloride solution has equivalent osmotic pressure to that of fluid inside blood cells
Choose the correct answer from the options given below:

The line of sight distance for two antennas of height 100 m and 400 m above earth surface is approximately: (Given \( R = 6400 \text{ km}, \sqrt{20} = 4.5 \))