List of practice Questions

Two simple harmonic motion, are represented by the equations
\(y_1 = 10 \sin\left(3\pi t + \frac{\pi}{3}\right)\)
\(y_2 = 5 (\sin(3\pi t) + \sqrt{3} \cos(3\pi t))\)
Ratio of amplitude of \(y_1\) to \(y_2=x: 1\). The value of x is _________.

A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, electric field is 6 V/m. The magnetic field at this point will be \(x \times 10^{-8}\) T. The value of x is _________.

X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number n=6? The value of X is _________.

A zener diode of power rating 2 W is to be used as a voltage regulator. If the zener diode has a breakdown of 10 V and it has to regulate voltage fluctuated between 6 V and 14 V, the value of R\(_S\) for safe operation should be _________ \(\Omega\).

Lyophilic sols are more stable than lyophobic sols because,

The correct order of ionic radii for the ions, P\(^{3-}\), S\(^{2-}\), Ca\(^{2+}\), K\(^{+}\), Cl\(^{-}\) is:

Choose the most appropriate answer from the options given below :

The oxide that gives H\(_2\)O\(_2\) most readily on treatment with H\(_2\)O is :

Choose the correct statement from the following:

Which one of the following is formed (mainly) when red phosphorus is heated in a sealed tube at 803 K ?

Which one of the following is used to remove most of plutonium from spent nuclear fuel ?

In stratosphere most of the ozone formation is assisted by :

Which one of the following tests used for the identification of functional groups in organic compounds does not use copper reagent ?

The major product of the following reaction, if it occurs by S\(_N\)2 mechanism is :

Which one of the following reactions will not yield propionic acid ?

Which one of the following is the major product of the given reaction ?

Given below are two statements:
Statement I : Ethyl pent-4-yn-oate on reaction with CH\(_3\)MgBr gives a 3\(^\circ\)-alcohol.
Statement II : In this reaction one mole of ethyl pent-4-yn-oate utilizes two moles of CH\(_3\)MgBr.
In the light of the above statements, choose the most appropriate answer from the options given below :

Which one of the following chemicals is responsible for the production of HCl in the stomach leading to irritation and pain ?

Hydrolysis of sucrose gives :

The addition of dilute NaOH to Cr\(^{3+}\) salt solution will give :

100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction of carbon dioxide in the resulting mixture is \(x \times 10^{-2}\). The value of x is _________. (Nearest integer)
[Atomic weight : H=1.008; C=12.00; O=16.00]

Two flasks I and II shown below are connected by a valve of negligible volume. When the valve is opened, the final pressure of the system in bar is \(x \times 10^{-2}\). The value of x is _________. (Integer answer)
[Assume - Ideal gas; 1 bar = 10\(^5\) Pa; Molar mass of N\(_2\) = 28.0 g mol\(^{-1}\); R=8.31 J mol\(^{-1}\) K\(^{-1}\)]

The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of 1000 nm, in 0.1 second is \(x \times 10^{13}\). The value of x is _________. (Nearest integer)
(h = 6.63 \(\times\) 10\(^{-34}\) Js, c=3.00 \(\times\) 10\(^8\) ms\(^{-1}\))

The number of species having non-pyramidal shape among the following is _________.
(A) SO\(_3\)
(B) NO\(_3^-\)
(C) PCl\(_3\)
(D) CO\(_3^{2-}\)

Data given for the following reaction is as follows:
FeO(s) + C(graphite) \(\rightarrow\) Fe(s) + CO(g)
The minimum temperature in K at which the reaction becomes spontaneous is _________. (Integer answer)