List of practice Questions

Three identical rods are joined as shown in the figure. The left and right ends are kept at \( 0^\circ C \) and \( 90^\circ C \) as shown in the figure. The temperature \( \theta \) at the junction of the rods is:

If the average speed of molecules of an ideal gas in a container is doubled and the volume of the container is halved, then the increase in the pressure of the gas is:
A and B are two points of a string, in which a standing wave of wavelength \( \lambda \) is set up. If the distance between the points A and B is \( \frac{3\lambda}{4} \), then the phase difference between A and B is:
Consider the wave represented by the equation \( y = (0.02) \sin \left( \pi x + 8\pi t \right) \), where all quantities are in SI units. The wavelength and speed of this wave respectively are \( y = (0.02) \sin \left( \pi x + 8\pi t \right) \).
If the total energy of the electron in the ground state of hydrogen atom is \(-13.6\) eV, then the potential and kinetic energies of an electron in this state respectively are:
What is the energy (in J) required to transfer the electron from \( n = 1 \) to \( n = 2 \) state in \( \text{Li}^{2+} \)? (K = constant \( 2.18 \times 10^{-18} \) J)

Match the following:

ElementList - IIAtomic Radius (in pm)
A. NaI.152
B. LiII.99
C. ClIII.64
D. FIV.186

The electronic configuration of four elements are given below:

Identify the sets containing isostructural molecules from the following 

I. \(\text{SiF}_4\), \(\text{SF}_4\)
II. \(\text{IO}_3^-\), \(\text{XeO}_3\)
III. \(\text{BH}_4^-\), \(\text{NH}_4^+\)
IV, \(\text{PF}_6^-\), \(\text{SF}_6\)
The correct option is

At \( T(K) \), three moles of an ideal gas is present in a 10 L vessel. If the kinetic energy of an ideal gas is \( 3000 \) J mol\(^{-1}\), the approximate pressure of the gas (in atm) is:
Identify the reaction for which \( K_p = K_c \):
Which of the following statements are not correct? i) \( \text{BeO has rock-salt structure} \)
ii) \( \text{BeSO}_4 \text{ is readily soluble in water} \)
iii) \( \text{The maximum coordination number of beryllium is four} \)
iv) \( \text{Be(OH)}_2 \text{ is basic in nature} \)
Observe the following compounds/ions: \[ H_3BO_3, \, [B(OH)_4]^-, \, BH_4^-, \, [BCI_3 \cdot NH_3], \, SiO_4^{2-} \] The number of compounds/ions with tetrahedral shape is:
Which of the following sets of oxides are correctly matched?
Which radical is responsible for depletion of ozone in stratosphere?
The number of benzenoid and non-benzenoid aromatic species present in the following list are respectively Naphthalene, Toluene, Cycloheptatrienyl cation, Anthracene

The IUPAC names of the compounds A and B respectively are

 

0.1435 g of silver chloride was obtained from 0.0945 g of an organic compound by Carius method. The percentage of chlorine by weight in the compound is (molar mass of AgCl = 143.5 g mol\(^{-1}\))

In the following reaction sequence X and Y respectively are

The following graph is obtained for KCl solution at 300 K. What is \( \Lambda_m^0 \) (in S cm² mol\(^{-1}\)) of KCl? 

Identify the correct statements from the following:
I. The order of reaction is determined from experiment only
II.The order of reaction can be zero , positive integer or a fraction
III.In a multistep reaction, the slow step determines the rate
If \(1\cdot3\cdot5 + 3\cdot5\cdot7 + 5\cdot7\cdot9 + \ldots\) to \(n\) terms is \(n(n+1)f(n)\), then \(f(2) =\)
If \(A\) is a non singular matrix, then \(\text{Adj}(A^{-1}) =\)
If the homogeneous system of linear equations \(x - 2y + 3z = 0\), \(2x + 4y - 5z = 0\), \(3x + \lambda y + \mu z = 0\) has a non-trivial solution, then \(8\mu + 11\lambda =\)
If \( \alpha \) is a root of the equation \( x^2 - x + 1 = 0 \), then \(\left(\alpha + \frac{1}{\alpha}\right)^3 + \left(\alpha^2 + \frac{1}{\alpha^2}\right)^3 + \left(\alpha^3 + \frac{1}{\alpha^3}\right)^3 + \left(\alpha^4 + \frac{1}{\alpha^4}\right)^3 =\)