In a series LCR circuit if the voltage across inductor, capacitor and resistor respectively are 60 V, 30 V and 40 V, then the applied voltage is:

The electric field vector associated with electromagnetic wave in free space is given by \(E=40 \cos \left(6 \times 10^8 t-k x\right) V m ^{-1}\). The value of \(k\) in SI unit is :

A metallic plate exposed to white light emits electrons. The colour of light for which the stopping potential will be minimum is

A ray of light passes through an equilateral glass prism such that the angle of incidence (i) = angle of emergence (e). If the angle of emergence is 0.75 times the angle of the prism, the refractive index of the prism will be

Identify the correct properties of magnetic field lines.
(A) Magnetic field lines are directed from the south pole to the north pole outside the
magnet.
(B) The magnetic field lines never intersect each other.
(C) Magnetic lines always form a closed and continuous curve.
(D) If magnetic field lines are parallel, then the magnetic field must be uniform throughout.
Choose the correct answer from the options given below :

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

Maxwell's displacement current is

Let \(f(x)=4 x^3-18 x^2+27 x-5, x \in \mathbb{R}\). Then which of the following statements are TRUE?
(A) \(f^{\prime \prime}(x)=24 x-36\)
(B) \(f\) has local maxima at \(x=\frac{3}{2}\) but no minima
(C) \(f\) has neither maxima nor minima
(D) \(f\) has both maxima and minima
Choose the correct answer from the options given below:

Paleontological evidence for evolution refers to.

The key tools of recombinant DNA technology are:
(A) Ligases
(B) Restriction enzymes
(C) Polymerase enzymes
(D) Suitable vectors and host organisms
Choose the correct answer from the options given below:

Which of the following sugars will not reduce Fehling's reagent?

Last year, in a rat population of 600 rats, 600 new rats were added through reproduction in the current year to make a total population of 1200 rats.
Find the birth rate of this rat population.

Read the following passage carefully and answer the given questions.
Insulin consists of two short polypeptide chains- chain A and chain B, that are linked together by disulphide bridges. Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans, coleopterans and dipterans. Bt toxin protein is converted into an active form of toxin due to the alkaline pH of the gut which solubilise the crystals. Transgenic animals that produce useful biological products can be created by the introduction of the portion of DNA (or genes) which codes for a particular product such as human protein (alpha-1-antitrypsin) used to treat emphysema. Plants, bacteria, fungi and animals whose genes have been altered by manipulation are called Genetically Modified Organisms (GMO). GM plants have been useful in many ways. Genetic modification has: (i) made crops more tolerant to abiotic stresses. (ii) reduced reliance on chemical pesticides (pest-resistant crops). (iii) helped to reduce post harvest losses. (iv) increased efficiency of mineral usage by plants (this prevents early exhaustion of fertility of soil). (v) enhanced nutritional value of food.
Identify the incorrect fact about genetic modification.