Area of cross section of a wire \(A\) is twice of \(B\) (given the wires are of the same length and of same material) then whose resistance will be more?

Which of the following compounds will be repelled when placed in an external magnetic field?

Read the passage carefully and answer the questions based on the passage:
Alcohols are versatile compounds as they can act as both nucleophile and electrophile. They undergo reactions based on cleavage of O-H and C-O bonds. The cleavage of O-H bond reflects the acidic character of alcohols. However they are weaker acids than water, phenol and carboxylic acids. Alkoxide ion formed by loss of proton from the OH group of alcohols reacts with water to form the corresponding conjugate acid - base pair. They act as Bronsted base due to presence of unshared electron pairs on oxygen.Both alcohols and phenol react with carboxylic acids, acid chlorides and anhydrides to form esters. The introduction of acetyl group in alcohols or phenol is known as acetylation. Alcohols react with hydrogen halides to form alkyl halides which form the basis of Lucas test. They also undergo acid catalyzed dehydration to form alkenes. Alcohols can be easily oxidized with variety of oxidizing agents. The nature of the product depends on the type of oxidizing agent and the nature of alcohol.
Pyridinium chlorochromate is used for:

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

Identify the incorrect statement
A. Bakelite and urea-formaldehyde resins are elastomers
B. Polyamides like nylon 6, nylon 6, 6 are the examples of fibers.
C. Polystyrene, polyvinylchloride and polythene are thermoplastic polymers.
D. Thermoplastic polymers have intermolecular force between elastomers and fibers.
Choose the most appropriate answer from the options given below:

Which of the following statement/s is/are wrong?
A. Methylamine is more basic than ammonia.
B. Amines form hydrogen bonds.
C. Ethylamine has higher boiling point than propane.
D. Dimethylamine is less basic than methylamine.
E. Amines are soluble in organic solvents like alcohol.
Choose the correct from the options given below:

Isomerism shown by the complex pair [Co(NH\(_3\))\(_5\)(NO\(_3\))]SO\(_4\) and [Co(NH\(_3\))\(_5\)(SO\(_4\))]NO\(_3\) is:

Identify the correct statements for the behavior of ethane-1,2-diamine as a ligand.
(A) it is a neutral ligand
(B) it is a bidentate ligand
(C) it is an ambidentate ligand
(D) it is a chelating ligand
Choose the correct answer from the options given below:

The current in a coil falls from 10.0 A to 0.0 A in 0.1 s. If an average emf of 100 V is induced in the coil, then the self inductance of the coil is.

If the line \(\vec{r}=(\hat{i}+\hat{j}+\hat{k})+\lambda(2 \hat{i}+\hat{j}+2 \hat{k})\)
is parallel to the plane \(\vec{r} \cdot(3 \hat{i}-2 \hat{j}+a \hat{k})=11\), then \(a\) is equal to :

Read the passage carefully and answer the questions based on the passage:
Species diversity on earth is not uniformly distributed. It is generally highest in the tropics and decreases towards the poles. Earth's fossil history reveals the incidences of mass extinctions in the past. Earth's rich biodiversity is vital for the very survival of mankind. It is believed that communities with high diversity tend to be less variable and more productive. The reasons of conserving biodiversity are narrowly utilitarian, broadly utilitarian and ethical. Biodiversity conservation may be in-situ as well as ex-situ.
Which one of the following does not exhibit narrowly utilitarian argument for conserving biodiversity?

Consider an LPP: Maximise \(Z=50 x+15 y\) subjected to constraints
\(\begin{array}{l}x+y \leq 60 \\5 x+y \leq 100 \\x, y \geq 0\end{array}\)
If the maximum value of \(Z\) occurs at \(x=a\) and \(y=\beta\), then the value of \(a+\beta\) is :

A convex lens of focal length 10 cm is placed in front of a convex mirror of radius of curvature 14 cm. An object is placed at a distance of 20 cm from convex lens. The distance between the lens and the mirror so that the final image formed by the combination coincides with the object itself will be: