List of practice Questions

A non-volatile solute has a molecular weight of 180 g mol\(^{-1}\). Assume that the solute does not associate or dissociate in water, and the boiling-point constant (ebullioscopic constant) of water is 0.51 K kg mol\(^{-1}\).
The amount (in g) of solute added to 500 g of water to elevate the boiling point by 0.153 K is ............... (answer in integer)
The standard potentials (\( E^\circ \)) for the Fe\(^{3+}\)/Fe and Fe\(^{3+}\)/Fe\(^{2+}\) couples are -0.04 V and +0.76 V, respectively.
Given: Faraday constant = 96500 C mol\(^{-1}\)
The value for \( E^\circ \) (Fe\(^{2+}\)/Fe) in V is ............... (rounded off to two decimal places)
Zinc is essential for the function of
Which one of the following molecules captures \(CO_2\) in the \(CO_4\) cycle?
Which one of the following methods separates biomolecules based on their hydrodynamic volumes?
Consider the two \( pK_a \) values of valine as 2.32 and 9.62. The isoelectric point (pI) of this amino acid is ....... (rounded off to two decimal places)
The bond order in \( N_2^{2-} \) species is:

For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is ____________ N (answer in integer).


 

A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with \( U \leq 4 \) is:


 

Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. 


 

Highest limiting conductance at 298 K is:
A person can see distant objects clearly but cannot see nearby objects distinctly. The person is suffering from:
The value of the integral \( \int_0^1 x^2 \, dx \) is:
The length of minute hand in a clock is 4.5 cm. If the tip of the minute hand moves from 6 AM to 6:30 AM, the average velocity of the tip is:
The thermo emf of a thermocouple varies with temperature as \( E = A\theta + B\theta^2 \). If the cold junction is kept at \( 0^\circ C \), the neutral temperature is:
The ratio of the average value of kinetic energy to that of potential energy for an SHM is:
If the charge \(Q\) is given to a conductor, then
The product of Karan’s age five years ago and his age after 9 years from now is 32. This is represented by the quadratic equation:
Which of the following options represents the correct ionic radii in Å of N3-, O2-, and F- respectively?
A ball is projected vertically up with speed \( V_0 \) from a certain height H. When the ball reaches the ground the speed is \( 3V_0 \). The time taken by the ball to reach the ground and height H respectively are (g = acceleration due to gravity)
ICBN refers to?
Which of the following statements are correct with respect to the inflorescence in Cotoneaster?
The left-hand side of a 20 cm thick wall is maintained at 25°C. The right-hand side of the wall is exposed to hot air at 50°C. There is no heat generation inside the wall and its thermal conductivity is 100 W/m·K. The convective heat transfer coefficient is 50 W/m²·K. Under steady state condition, the temperature (in °C) of the right-hand side surface of the wall is ........ (Rounded off to one decimal place).
Water flows through a smooth circular pipe of diameter 10 cm and length 10 m. The pressure drop across the length of the pipe is 0.2 Pa. Kinematic viscosity and density of water are \(1 \times 10^{-6} \, {m}^2/{s}\) and 1000 \({kg/m}^3\), respectively. Assuming laminar and fully developed flow throughout the pipe, the velocity of water (in mm/s) at the center of the pipe is ........ (Rounded off to one decimal place)

The table shows the data of running a machine for five years. The original machine cost is Rupees 70,000. In order to minimize the average total cost per year for running the machine, the machine should be replaced after ............. years. (Answer in integer)