List of practice Questions

A thin circular ring and a circular disc of equal mass are rolling without sliding. If their linear velocities are equal and the total kinetic energy of the disc is 6 J, then the total kinetic energy of the ring is:
The force between two conducting spheres of same radius having charges +8 μC and -4 μC separated by some distance in air is F. If the spheres are connected by a conducting wire and after some time the wire is removed, then the magnitude of the force between the two conducting spheres is
The IUPAC name of the complex shown below is:
K₃[Co(COₓ)₃]
Which of the following is not an antibiotic?
The number of amphoteric oxides from the following is
\(\mathrm{CO_2, GeO_2, SnO_2, PbO_2, CO, GeO, SnO, PbO}\)
Which of the following statements is not correct?
The sequence of reagents required to convert aniline to benzoic acid is:
(a) Write the full form of BOD.
(b) Define BOD. Explain how it is a measure of the organic matter present in the water body.
What is the acceleration of a body of mass 4 kg when a force of 20 N is applied to it?
What is the distance between the points $(3, -2)$ and $(-1, 4)$?
What is the IUPAC name of the compound \( \text{CH}_3\text{CH}_2\text{COCH}_2\text{CH}_3 \)?

What are X and Y respectively, in the following set of reactions? 

A metal crystallizes with hcp packing. The total number of voids, total number of tetrahedral voids and total number of octahedral voids are shown as A, B and C respectively. A, B and C in 0.25 moles of metal are respectively ($N_A$ = Avogadro number).
The minimum force required to stop a body of mass 4 kg moving along a straight line with a velocity of 54 kmph in a distance of 9 m is
If the third harmonic of a closed pipe is in resonance with the fourth harmonic of an open pipe, then the ratio of the lengths of the closed and open pipes is:
To dissociate a molecule into its component atoms, the energy required is 13.2 eV. The frequency of the electromagnetic radiation corresponding to this energy lies in the:
The crystal system of a compound with cell dimensions \( a = 0.387 \), \( b = 0.387 \), \( c = 0.504 \text{ nm} \); \( \alpha = \beta = 90^{\circ} \) and \( \gamma = 120^{\circ} \) is
At T(K), adsorption of a gas on surface of a solid follows Freundlich adsorption isotherm. A graph of \( \log \left( \frac{x}{m} \right) \) (on y-axis) and \( \log p \) (on x-axis) for this gas gave a straight line with slope = 2 and intercept = 1.5. What is the value of n ?
Two blocks of masses 8 kg and 12 kg kept on a smooth horizontal table are connected to the ends of a light string as shown in the figure. If a horizontal force of 500 N is applied to the block of mass 12 kg, then the tension in the string connecting the blocks is
Two blocks of masses 8 kg and 12 kg
Which of the following methods are used to remove temporary hardness of water? I) Boiling
II) Calgon method
III) Clark's method
The sum of the least positive integer and the greatest negative integer in the range of the function \( f(x) = \dfrac{x^2 - 5x + 7}{x^2 - 5x - 7} \) is:
All the letters of the word LETTER are arranged in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order. Then the rank of the word TETLER is:
If \(k\) is a positive integer and \(10^k\) is a divisor of the number \(9^{11} + 11^9\), then the greatest value of \(k\) is:
Points \( P \) and \( Q \) are given by \( \vec{OP} = \vec{i} - \vec{j} - \vec{k} \) and \( \vec{OQ} = -\vec{i} + \vec{j} + \vec{k} \). A line along the vector \( \vec{a} = \vec{i} + \vec{j} \) passes through point \( P \), and another line along the vector \( \vec{b} = \vec{j} - \vec{k} \) passes through point \( Q \). If a line along the vector \( \vec{c} = \vec{i} - \vec{j} + \vec{k} \) intersects both the lines along \( \vec{a} \) and \( \vec{b} \) at \( L \) and \( M \) respectively, then \( \vec{PM} = \) ?
\[ \text{If } y = |\cos x - \sin x| + |\tan x - \cot x|, \text{ then } \left( \frac{dy}{dx} \right)_{x = \frac{\pi}{3}} + \left( \frac{dy}{dx} \right)_{x = \frac{\pi}{6}} = \]