The magnitude of the electric and magnetic fields in an electromagnetic wave are related as :

The desirable properties of core of a transformer are

Identify the INCORRECT statement(s) in the context of phenomenon of interference.
1. All bright and dark fringes have equal width.
2. All bright fringes have the same intensity.
3. Fringe width depends on the distance of screen from the slits.
4. All dark and bright fringes are not equally spaced.
Choose the correct answer from the options given below:

When the surface of a metal is illuminated with the light of wavelength 400 nm, the KE of the ejected photoelectrons is 1.68 eV. Then the work function of the metal is (hc = 1240 eV-nm) :

If \( \vec{M} \) is the magnetic moment and \( \vec{B} \) is the magnetic field, then the torque is given by

The correct mathematical expression for amplitude modulated wave is :

Two nuclei with mass numbers A and B have density ratios of :

The value of the integral \(I=\int e^x\left(\tan ^{-1} x+\frac{1}{1+x^2}\right) d x\) is :

The particular solution of the differential equation \(\cos \left(\frac{d y}{d x}\right)=a,(a \in R ) ; y=2\) at \(x=0\) is given by

Let \(L_1\) and \(L_2\) be two lines, represented as,
\(L_1: \vec{r}=\hat{i}+\hat{j}+\lambda(2 \hat{i}-\hat{j}+\hat{k})\) and \(L_2: \vec{r}=2 \hat{i}+\hat{j}-\hat{k}+\mu(4 \hat{i}-2 \hat{j}+2 \hat{k})\), where \(\lambda\) and \(\mu\) are scalars. Then which of the following are true?
(A)\(L_1\) is perpendicular to \(L_2\)
(B) \(L_1\) is parallel to \(L_2\)
(C) \(L_1\) passes through the point (1,1,0)
(D) \(L_2\) passes through the point (2,1,-1)
Choose the correct answer from the options given below:

In a binomial distribution, the probability of getting success is \(1 / 4\) and standard deviation is 3 . Then it's mean is:

The figure shows an arrangement of bar magnets in different configurations. Each bar magnet has a magnetic dipole moment m. The figure which has the maximum magnetic dipole moment _______ .

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.
Which one of the following species is not killed by insecticidal protein produced by Bacillus thuringiensis?