An electron in a hydrogen atom emits wavelengths during the transitions given below. Arrange these wavelengths in ascending order.
(A) from n = 3 to n = 2
(B) from n = 2 to n = 1
(C) from n = \( \infty \) to n = 1
(D) from n = \( \infty \) to n = 3
(E) from n = 4 to n = 1
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The repetitive use of which of the following logic gate/s separately can be used to prepare an AND gate ?
(A) OR gate
(B) NOT gate
(C) NOR gate
(D) NAND gate
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1. An electron of mass m is moving with kinetic energy k and momentum p. The de-Broglie wavelength associated will be :
(A) \( \lambda = \frac{\sqrt{2mk}}{p} \)
(B) \( \lambda = \frac{p}{h} \)
(C) \( \lambda = \frac{h}{p} \)
(D) \( \lambda = \frac{h}{\sqrt{2mk}} \)
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In a series LCR circuit \( X_L = X_C \). Which of the following is correct?

Match List-I with List-II

List-I	List-II
(A) Electric Field	(I) [ LTA ]
(B) Electric Flux	(II) \( [ L^2 ] \)
(C) Electric Dipole Moment	(III) \( [ M L T^{-3} A^{-1} ] \)
(D) Area Vector Element	(IV) \( [ M L^3 T^{-3} A^{-1} ] \)

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A tank is filled with water to a height of 15 cm. If the refractive index of water is 1.33, the apparent depth of a needle lying at the bottom of the tank will be

The focal length of a lens depends on

Ionization potential of a hydrogen atom is 13.6 V. Hydrogen atom in the ground state is excited by monochromatic radiation of photon energy 12.75 eV. The number of spectral lines emitted by hydrogen atom will be

The angle between the line \(\vec{r}=(\hat{i}+2 \hat{j}-\hat{k})+\lambda(\hat{i}-\hat{j}+\hat{k})\) and the plane \(\vec{r} \cdot(2 \hat{i}-\hat{j}+\hat{k})=4\) is :

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 followings is not true about insulin?

Primary Endosperm Nucleus is the product of :

Which of the following does not have direct role in genetic engineering?

Match List I with List II

List - I	List - II
(A) Both the species are benefitted	(I) Competition
(B) One of the species is benefitted but the other is harmed	(II) Parasitism
(C) One of the species is benefitted but the other is neither benefitted nor harmed	(III) Commensalism
(D) Both the species are harmed	(IV) Amensalism
	(V) Mutualism

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