The distance between two point charges \(q_1 = 5\) mC and \(q_2 = -10\) mC in vacuum so that electrostatic force of attraction between them is 50 kN is :

A bar magnet held perpendicular to a uniform magnetic field experiences a torque \( T_1 \). By what angle should it be rotated to change the experienced torque to \( 0.5T_1 \)?

Choose the phenomenon from the following, which shows that light is a transverse wave.

A pair of adjacent coils has a mutual inductance of 2.0 H . If the current in one coil changes from 0 to 30 A in 0.5 s, the change of the magnetic flux linked with the other coil would be

Two sources of equal emf are connected in series. This combination is connected to an external resistance R.
The internal resistance of two sources are \( r_1 \) and \( r_2 \) (\( r_2 > r_1 \)).
If the potential difference across the source of internal resistance \( r_2 \) is zero, then R equals to:

Given is the graph of potential difference (V) across combination of three identical cells in series versus current (I). The emf of each cell would be

A metal cube of side 0.1 m is uniformly charged by 18 \( \mu C \). Its surface charge density will be

The corner points of the bounded feasible region of the LPP: Maximise \(Z = x + y\) subject to constraints \(2x + 5y ≤ 100, 8x + 5y ≤ 200 x ≥ 0 y ≥ 0\) are

Darwin's finches and Australian marsupials are an example of:

The one which is a covalent green oil is:

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Carboxylic acids are the organic compounds which comprise of carboxyl functional group, -COOH. These are generally found in nature, some higher members are known as fatty acids as they occur in natural fats as esters of glycerol. They can be prepared from oxidation of alcohols and aldehydes, hydrolysis of nitriles and amides and Grignard reagents. They are stronger acids than simple phenols and alcohols. but weaker than mineral acids. Substituents affect the acidity of aliphatic and aromatic carboxylic acids. They undergo reactions involving cleavage of -OH and C-OH bond. Carboxylic acids having an alpha hydrogen get halogenated in the presence of red phosphorus to form alpha halo carboxylic acids. The reaction is known as Hell Volhard Zelinsky reaction. Besides these aromatic carboxylic acids undergo electrophilic substitution reactions. They are versatile and are employed in the manufacture of various useful compounds. For example, methanoic acid is used in rubber, textile, dyeing, leather and electroplating industries. Higher fatty acids are used in the manufacture of soaps and detergents. Esters of Benzoic acid are used in perfumery.
Identify the strongest acid

Arrange the steps of biopsy and histopathology of tissue involved in detection of cancer.
(A) A thin section of tissue is stained
(B) Freezing of tissue in liquid nitrogen
(C) A piece of the suspected tissue cut into thin sections
(D) Examination under microscope
Choose the correct answer from the options given below:

Read the given passage carefully and answer the questions
Antibiotics have greatly improved our capacity to treat deadly diseases such as plague, whooping cough (kali khansi), diphtheria (gal ghotu) and leprosy (kusht rog), which used to kill millions all over the globe.
Streptokinase produced by the bacterium Streptococcus and modified by genetic engineering is used as a 'clot buster' for removing clots from the blood vessels of patients who have undergone myocardial infarction leading to heart attack. Microbes are diverse-protozoa, bacteria, fungi and microscopic animal and plant viruses, viroids and also prions that are proteinacious infectious agents. The puffed-up appearance of dough is due to the production of CO₂ gas. Similarly the dough, which is used for making bread, is fermented using baker's yeast (Saccharomyces cerevisiae). Primary sewage treatment basically involve physical removal of particles - large and small from the sewage through filtration and sedimentation. These are removed in stages; initially, floating debris is removed by sequential filtration. Then the grit (soil and small pebbles) are removed by sedimentation. All solids that settle form the primary sludge, and the supernatant forms the effluent. The effluent from the primary settling tank is taken for secondary treatment. The primary effluent is passed into large aeration tanks, where it is constantly agitated mechanically and air is pumped into it. This allows vigorous growth of useful aerobic microbes into flocs. While growing, these microbes consume the major part of the organic matter in the effluent.
Genetically modified Streptokinase is used as a 'clot buster' for removing clots from the blood vessels is produced by :