Correct order of the following acids in order of their increasing acidic strength is
(A) \(CCl _3 COOH\)
(B) \(ClCH _2 COOH\)
(C) \(CH _3 COOH\)
(D) \(CHCl _2 COOH\)
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Which of the following compound is a gem-dihalide?

The quantity of charge required to obtain one mole of aluminum from \(\text{Al}_2\text{O}_3\) is :

In the 3d series of transition elements, the element more likely to exhibit +1 oxidation state is :

Which of the following compound will form a cyclic product on reaction with ethylene glycol?

The rate of decomposition of gaseous ammonia on a hot platinum surface at a high pressure does not change when the initial concentration of ammonia is doubled. This is an example of

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The carbonyl group of aldehydes and ketones is highly polar. The positively charged carbon is readily attacked by electron-rich nucleophile and the negatively charged oxygen atom is attacked by an electro-deficient electrophile. Aldehydes and ketones undergo nucleophilic addition reactions in the presence of acid or a base. The mechanism involves attack of a nucleophile on the electron deficient carbonyl carbon to form a tetrahedral intermediate. A new bond is formed between the carbon and oxygen. Protonation of the anion furnished by the reaction medium yields neutral addition product. The addition product is same whether the reaction is catalyzed by acid or a base. For example in the presence of base aldehydes and ketones react with hydrogen cyanide to form cyanohydrin.
Which of the following compounds will undergo nucleophilic addition readily?

The spin-only magnetic moment of \(\left[ MBr _4\right]^{2-}\) is 5.9 BM.
The metal M is:

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Statins are produced by:

Which of the following is the correct statement?
A. The solubility of gases in liquids increases with a decrease of pressure.
B. If the dissolution process is endothermic, the solubility should increase with a rise in temperature.
C. If the dissolution process is endothermic, the solubility should decrease with a rise in temperature.
D. If the dissolution process is exothermic, solubility will not change with a increase in temperature.
E. If the dissolution process is exothermic, solubility should increase with an increase in temperature.
Choose the correct answer from the options given below :

Match List-I with List-II

List -I Physical Quantity	List II Dimensional Formula
(A) Capacitance	(I) \( [M L^3 T^{-3} A^{-1}] \)
(B) Electric Flux	(II) \( [M L^2 T^{-3} A^{-1}] \)
(C) Potential	(III) \( [L^{-2} A T] \)
(D) Polarisation	(IV) \( [M^{-1} L^{-2} T^4 A^2] \)

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An inverted pyramid of biomass can be found in which of the following ecosystem?

If \(\vec{a}=3 \hat{i}-6 \hat{j}+\hat{k}\) and \(\vec{b}=2 \hat{i}-4 \hat{j}+\lambda \hat{k}\) are such that \(\vec{a} \| \vec{b}\), then \(3 \lambda+2=\)