List of practice Questions

A wooden block of dimension 10cm x 20cm x 30cm is cut into equal sized planks. The cut planks are stacked one above the other to achieve a total height of 100cm exactly. If the minimum number of planks are cut to achieve this height, then what is the volume of each plank in cm3?
In a certain code, O is written as E, A as C, M as I, P as N, and C as S. How will COMPA be written in that code?

In the given circuit, if the potential at point B is 24 V, the potential at point A is: 

Inner shell electrons in atoms moving from one energy level to another lower energy level produce:

The molar heats of fusion and vaporization of benzene are 10.9 and 31.0 kJ mol\(^{-1}\) respectively. The changes in entropy for the solid \(\rightarrow\) liquid and liquid \(\rightarrow\) vapor transitions for benzene are \(x\) and \(y\) J K\(^{-1}\) mol\(^{-1}\) respectively. The value of \(y(x)\) in J\(^2\) K\(^{-2}\) mol\(^{-2}\) is:

A mixture of substances A, B, C, D is subjected to column chromatography. The degree of adsorption is in the order of \(D>B>C>A\). The column is eluted with a suitable solvent. Identify the correct statement with respect to the separation of the mixture.

Match List I with List II and select the correct answer. 


 

The transition metal with the highest melting point is: 

The maximum height attained by the projectile is increased by 10% by keeping the angle of projection constant. What is the percentage increase in the time of flight?
A solid cylinder rolls down on an inclined plane of height \( h \) and inclination \( \theta \). The speed of the cylinder at the bottom is:
In a spring-block system as shown in the figure, if the spring constant \( K = 9 \, {N/m} \), then the time period of oscillation is:
The condition \( dw = dq \) holds good in the following process:
The efficiency of a Carnot engine is found to increase from 25% to 40% on increasing the temperature (\(T_1\)) of the source alone through 100 K. The temperature (\(T_2\)) of the sink is given by:
When a wave enters into a rarer medium from a denser medium, the property of the wave which remains constant is:
The focal length of the objective lens of a telescope is 30 cm and that of its eye lens is 3 cm. It is focused on a scale at a distance 2 m from it. The distance of the objective lens from the eye lens to see the clear image is:
A proton and an alpha particle moving with energies in the ratio \( 1:4 \) enter a uniform magnetic field of 37 T at right angles to the direction of the field. The ratio of the magnetic forces acting on the proton and the alpha particle is:
A charged particle moving along a straight-line path enters a uniform magnetic field of \( 4 \) mT at right angles to the direction of the magnetic field. If the specific charge of the charged particle is \( 8 \times 10^7 \) C/kg, the angular velocity of the particle in the magnetic field is:
The surface areas of two nuclei are in the ratio \( 9:25 \). The mass numbers of the nuclei are in the ratio:
Pure silicon at 300K has equal electron and hole concentration of \( 1.5 \times 10^{16} \) m\(^{-3}\). If the hole concentration increases to \( 3 \times 10^{22} \) m\(^{-3}\), then the electron concentration in the silicon is:
Three layers of liquid are flowing over a fixed solid surface as shown below. The correct order of velocity of liquid in these layers is: \includegraphics[]{127.png}
Consider the following standard electrode potentials (\(E^\circ\) in volts) in aqueous solution: \includegraphics[]{135.png} Based on this data, which of the following statements is correct?
The enamel present on teeth becomes much harder due to the conversion of hydroxyapatite into fluorapatite. What are \( X \) and \( Y \)?
Identify the correctly matched set from the following:
Identify the correctly matched pair from the following:
Identify the incorrect set from the following: