List of practice Questions

The ratio of the magnitudes of electrostatic force between an electron and a proton separated by a distance \( r \) to that between a proton and an alpha particle separated by the same distance \( r \) is:
A tuning fork vibrating at 300 Hz, initially in air, is then placed in a trough of water. The ratio of the wavelength of the sound waves produced in air to that in water is (Given that the velocity of sound in water and in air at that place are 1500 m/s and 350 m/s respectively):
Ratio between the frequencies of the third harmonics in the closed organ pipe and open organ pipe of the same length is:

According to equipartition principle, the energy contributed by each translational degree of freedom and rotational degree of freedom at a temperature T are respectively (\( k_B = \text{Boltzmann constant} \)):

Two similar metallic rods of the same length \( l \) and area of cross section \( A \) are joined and maintained at temperatures \( T_1 \) and \( T_2 \) (\( T_1>T_2 \)) at one of their ends as shown in the figure. If their thermal conductivities are \( K \) and \( \frac{K}{2} \) respectively. The temperature at the joining point in the steady state is: 

The type of processes represented by the curves X and Y are: 

The efficiency of a Carnot engine operating between steam point and ice point is:
The coefficient of linear expansion of aluminum is \( 2.5 \times 10^{-5} \, {K}^{-1} \). Its coefficient of volume expansion in \( {K}^{-1} \) is:
In an incompressible liquid flow, mass conservation leads to:
The time period of revolution of a planet around the sun in an elliptical orbit of semi-major axis \( a \) is \( T \). Then:
For a smoothly running analog clock, the angular velocity of its second hand in rad s\(^{-1}\) is:
The radius of gyration of a circular disc of radius \( R \), rotating about its diameter is:

The kinetic energy of a body is increased by 21%. The percentage increase in its linear momentum is:

The lines \( \frac{x + 3}{-2} = \frac{y}{1} = \frac{z - 4}{3} \) and \( \frac{x - 1}{\mu} = \frac{y - 1}{\mu + 1} = \frac{z}{\mu + 2} \) are perpendicular to each other. Then the value of \( \mu \) is:
If the straight lines \( \frac{x - 3}{2} = \frac{y - 4}{3} = \frac{z - 6}{-1} \) and \( \frac{x - 2}{a} = \frac{y + 3}{b} = \frac{z + 4}{-1} \) are parallel, then \( a^2 + b^2 \) is:
A solid cylinder is placed gently over an incline plane of inclination \(60°\). The acceleration of cylinder when it start rolling without slipping is \(\frac{g}{\sqrt x}\) where \(μ\) is the coefficient of friction. [take \(g\) = \(10\;m / (s ^ 2)\) ]
A solid cylinder is placed gently over an incline plane of inclination 60°
Core tablet coated with cellulose acetate phthalate has been administered to a patient. Where do you expect the drug to be released:
The boiling point of 50% sucrose solution is
Draw the structures of major monohalo products in each of the following reactions: 
structures of major monohalo products

(b) Give reasons for the following:
(i) Grignard reagent should be prepared under anhydrous conditions.
(ii) Alkyl halides give alcohol with aqueous KOH whereas in the presence of alcoholic KOH, alkenes are formed
A convex lens of focal length 40 cm forms an image of an extended source of light on a photo-electric cell. A current \( I \) is produced. The lens is replaced by another convex lens having the same diameter but focal length 20 cm. The photoelectric current now is:
Define ecosystem. Describe its biotic and abiotic components with diagrams.
Describe different Assisted Reproductive Technologies.
Explain the salient features of the Human Genome.
What is mutualism? Explain it with a suitable example.
Describe the role of microbes in biogas production.