List of practice Questions

On combustion of 0.21 g of an organic compound containing C, H, and O, it gave 0.127 g of H$_2$O and 0.307 g of CO$_2$. The percentage of H and O in the given organic compound respectively are:
Consider the following statements:
Statement-I: H$_2$Se is more acidic than H$_2$Te.
Statement-II: H$_2$Se has higher bond dissociation enthalpy than H$_2$Te.
In light of the above statements, choose the correct option:

The correct IUPAC name of the compound is:

Correct decreasing order of spin-only magnetic moment values is:

The correct sequence of reagents to be added for the following conversion is:

For a first-order reaction, the ratio of time required is $ \frac{t_1}{t_2} $, if $ t_1 $ is the time consumed when reactant reaches $ \frac{1}{4} $ of initial concentration and $ t_2 $ is the time when it reaches $ \frac{1}{8} $ of initial concentration.
Which of the following has $ sp^3d^2 $ hybridization?
Consider the following sequence of reactions given below: $ \text{Br-C}_6\text{H}_5 \xrightarrow{\text{alc. KOH}} \text{C}_6\text{H}_4 \xrightarrow{\text{NaNH}_2} \text{C}_6\text{H}_3 \xrightarrow{Hg^{2+}} \text{C}_6\text{H}_2 \xrightarrow{Zn-Hg} P $ The product P is:
Assertion (A): Work done to move a charge between two points is zero inside a uniformly charged shell.
Reason (R): Potential inside a uniformly charged shell is constant and equal to the potential at its surface.
Two ropes of the same material of radius $ R $ and $ \frac{R}{2} $, what will be the ratio of wave speed in the second rope to the first? (They both are with the same tension)
Consider the last electron of element having atomic number 9 and choose the correct option.
A rod of linear mass density $ \lambda $ and length $ L $ is bent into the form of a ring of radius $ R $. The moment of inertia of the ring about any of its diameters is:

A cube of side 10 cm is suspended from one end of a fine string of length 27 cm, and a mass of 200 grams is connected to the other end of the string. When the cube is half immersed in water, the system remains in balance. Find the density of the cube.

A cone made of conducting material is given a charge $ Q $. $ \sigma_1, \sigma_2, \sigma_3 $ and $ \sigma_4 $ are charge densities at four points $ P, Q, R $ and $ S $. $ P $ is at the vertex of the cone and $ Q, R, S $ are at the periphery of the base. Choose the correct option.

A force $ 6 \hat{k} $ is applied for $ \frac{5}{3} $ seconds on a body of mass 2 kg. If the initial velocity of the body was $ 3\hat{i} + 4\hat{j} $, then find the final velocity of the body.
Bulk modulus of a liquid is $ 2 \times 10^9 \, \text{Pa} $. Initially and final pressure are 1 atm and 5 atm respectively. Find the initial volume of the liquid if change in volume is 0.8 cm$^3$.
The amplitude and phase of the wave when two travelling waves given as $ y_1(x, t) = 4 \sin(\omega t - kx) $ and $ y_2(x, t) = 2 \sin\left(\omega t - kx + \frac{2\pi}{3}\right) $ are superimposed.
Water falls from a height of 200 m. What is the increase in temperature when it touches the bottom? (Assume that all the heat goes into the same amount of mass which was falling).
An electron is released in the field generated by a non-conductivity sheet of uniform surface charge density $ \sigma $. The rate of change of de-Broglie wavelength associated with the electron varies inversely as the $ n $th power of the distance travelled. Find the value of $ n $.
Given $ \lambda = 2 \, \text{nC/m} $ (linear charge density) for a wire passing through the body diagonal of a closed cube with side length $ \sqrt{3} \, \text{cm} $, find the flux through the cube.
A monoatomic gas is stored in a thermally insulated container. The gas is suddenly compressed to $ \frac{1}{8} $th of its initial volume. Find the ratio of final pressure to initial pressure.
Two balls are projected with the same speed at different angles. If the maximum height of the 1st ball is 8 times the maximum height of the 2nd ball, find the ratio of their time of flight.
A uniform disc of radius $ r $ is rotating about an axis passing through its diameter with angular speed 800 rpm. A torque of magnitude $ 25\pi \, \text{Nm} $ is applied on the disc for 40 sec. If the final angular speed of the disc is 2100 rpm, find the diameter of the disc if its mass is 1 kg.
For a nucleus of mass number $ A $ and radius $ R $, mass density is $ \rho $. Then choose the correct option.
There are two charged spheres of radius $ R $ and $ 3R $. When the spheres are made to touch each other and then separate, the surface charge density becomes $ \sigma_1 $ and $ \sigma_2 $ respectively. Find the ratio $ \frac{\sigma_1}{\sigma_2} $.