An alternating emf \( \varepsilon = 220 \sin(50\pi t) \) is applied to an inductive circuit having self-inductance \( L = \sqrt{2} \pi^{-1} \text{ H} \). What will be the reading of an a.c. ammeter connected in the circuit?

The kinetic energy of an \(\alpha\)-particle incident on gold foil is reduced to half of its initial value. How does the distance of closest approach change?

The electric potential at a point in an electric field is \( 8 \times 10^4 \text{ V} \). The work done to bring a point charge \( 5 \times 10^{-9} \text{ C} \) from infinity to this point is:

The current in a resistive series circuit is 7.0 A. On adding a resistance of 1.6 \( \Omega \) in the same circuit in series, the current drops to 5.0 A. The original resistance of the circuit is :

A network of five capacitors is shown in the figure. The total charge stored in the network connected between A and B is :

Two identical short bar magnets each of magnetic moment \( 12.5 \text{ Am}^2 \) are placed with 10 cm separation between their centers as shown in the figure. The magnitude of magnetic field at O is

The average emf induced in a coil in which current changes from 2 A to 4 A in 0.05 sec is 8 V. The self - inductance of coil is :

Answer the question on the basis of passage given below :
Living systems are made up of various complex bio-molecules like carbohydrates, proteins, nucleic acids, lipids etc. Proteins and carbohydrates are essential constituents of our food. Carbohydrates are primarily produced by plants and form a very large group of naturally occurring organic compounds. Some common examples are cane sugar, glucose, starch etc.
Match List I with List II

LIST I	LIST II
A. Carbohydrates	I. Amide linkage
B. Proteins	II. Ester linkage
C. Nucleic acids	III. Ether linkage
D. Lipids	IV. phosphodiester linkage

Choose the correct answer from the options given below:

Identify the terminal method used to prevent pregnancy is :

Microbes in human welfare Microbes are a very important component of life on earth. we use microbes and microbially derived products almost every day, like LAB to make curd, yeast to make bread, adding flavor and texture to cheese, producing antibiotics etc. The addition of LAB, improves the milk quality by increasing vit. B12. Cheese is one of the oldest food items in which microbes are used. For example, large holes in Swiss cheese are due to CO2 produced by the bacterium Propionibacterium sharmanii. The BOD test measures the rate of uptake of oxygen by microorganisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water. The greater the BOD of waste water, the more is its polluting potential. In anaerobic sludge digesters, bacteria produce a mixture of gases like methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as a source of energy. Biofertilisers are organisms that enrich the nutrient quality of the soil. The main sources of biofertilisers are bacteria, fungi and cyanobacteria. You have studied about the nodules on the roots of leguminous plants formed by the symbiotic association of Rhizobium. These bacteria fix atmospheric nitrogen into organic forms, which is used by the plant as a nutrient. Other bacteria can fix atmospheric nitrogen while free-living in the soil (examples Azospirillum and Azotobacter).
Identify, the free living bacteria in soil, which can fix the atmospheric nitrogen.

The type of pollination in which genetically different pollen grains fall on the stigma is known as:

Arrange the following compounds in the decreasing order of reactivity towards Sn1 reaction
(A) (Ph)3C-1
(B) (Ph)3C-Br
(C) (Ph)3C-Cl
(D) (Ph)3C-F
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A capacitor of capacitance C is first charged by a battery of V volts. It is disconnected from the battery and is filled with a dielectric of dielectric constant K. The ratio of energy stored in the two cases, respectively will be