The peak value of current in an ideal inductor of \((2/\pi) \text{ H}\) inductance connected to a 200 V, 50 Hz ac supply will be

Arrange the de-Broglie wavelengths associated with the following in decreasing order: (Given: \( h = 6.6 \times 10^{-34} \, \text{J-s} \))
(A) an electron (mass \( 9 \times 10^{-31} \, \text{kg} \)) in the hydrogen atom moving with speed \( 3 \times 10^6 \, \text{m/s} \)
(B) a bullet (mass 0.04 kg) travelling at speed \( 10^3 \, \text{m/s} \)
(C) a ball (mass 0.06 kg) moving with speed 1.0 m/s
(D) a dust particle (mass \( 1.0 \times 10^{-9} \, \text{kg} \)) drifting with speed 3.3 m/s
Choose the correct answer from the options given below:

The colour of light which is scattered the most by the atmospheric molecules is

The velocity of light in a medium depends on

Two coherent light beams of intensities I and 4 I are superimposed. The maximum and minimum possible intensities in the resulting pattern are :

A bridge circuit is shown in the diagram. The equivalent resistance between A and B is

A charge q moves with a velocity of \(2 m s^{-1}\) along x-axis in a uniform magnetic field \(\vec{B} = \hat{i} + 2\hat{j} + 3\hat{k}\), then charge will experience a force

In an electromagnetic wave, if \(\vec{B}\) and \(\vec{E}\) represent the magnetic field and electric field respectively, then the direction of propagation of the electromagnetic wave is along the direction of:

During the process of digestion, the proteins present in food material are hydrolysed to amino acids.The two enzymes involved in the process are:\[\text { Proteins } \xrightarrow{\text { enyyme A }} \text { Polypeptides } \xrightarrow{\text { ensyme B }} \text { Amino acids }\]

Read the passage carefully and answer the Questions
Alcohols and phenols are obtained when a hydrogen atom in aliphatic and aromatic hydrocarbons respectively, is replaced by \(OH\) group. These compounds find wide applications in industry as well as in our daily life. You may notice that ordinary spirit is used for polishing wooden furniture which is chiefly a compound containing hydroxyl group. An alcohol contains one or more hydroxyl \((OH)\) group(s) directly attached to carbon atom(s), of an aliphatic system \((CH_3OH)\) while a phenol contains \(OH\) group(s) directly attached to carbon atom(s) of an aromatic system \((C_6H_5OH)\). Alcohols are prepared by the hydration of alkenes, fermentation of glucose, and reduction of carbonyl compounds. Alcohols produce alkenes upon dehydration whereas alkenes on acid catalyzed hydration convert into alcohols.
An alkyl halide can be converted into alcohol through:

Conservation of threatened animals and plants in a special setting where they can be protected and given special care is known as:

The corner points of the feasible region determined by the following system of linear inequalities :
\(2 x+y \leq 10, \quad x+3 y \leq 15, \quad x, y \geq 0\) are \((0,0),(5,0),(3,4)\) and \((0,5)\).
Let \(z=p x+q y\), where \(p, q>0\).
Condition on \(p\) and \(q\) so that maximum of \(z\) occurs at both \((3,4)\) and \((0,5)\) is :

Which factors are responsible for making fluorine the strongest oxidising agent ?
(A) \quad Highest electronegativity
(B) \quad High electron gain enthalpy
(C) \quad High bond dissociation enthalpy
(D) \quad Small size of flourine
Choose the correct answer from the options given below :