List of practice Questions

In the following reaction, the values of \( \Delta H \) and \( \Delta S \) at temperature 25 °C are -13.7 kcal/mole and -16.0 cal/(K·mole), respectively.
The value of \( \Delta G \) (in kcal/mole) of the reaction, rounded off to TWO decimal places, is ...............

The solution to the integral \( \int_0^1 2y\sqrt{1 + y^2} \, dy \), rounded off to TWO decimal places, is ............ 
 

Which of the following is(are) CORRECT?
Which of the following gas(es) function(s) as signaling molecule(s) in the human nervous system?
Consider two bodies with equal masses of \( 10^{12} \) kg each and R distance apart. Let G be the gravitational constant and \( V_0 \) be a constant with dimensions of energy. Which of the following represent(s) gravitational potential energy (V) between the bodies, such that Newton's law of gravitation is valid?
Which of the following curve/straight line equations will pass through the origin when plotted on a graph?
Protozoa are
Which of the following is(are) CORRECT?
Which of the following is(are) involved in the activation of cytotoxic T cells?
Which of the following is(are) TRUE about photosynthesis?

IR spectrum of a compound \( C_5H_{10}O \) shows a band at 1715 cm\(^{-1}\). The same compound showed two signals, a triplet and a quartet, in its NMR spectrum. Identify the compound from the following. 


 

In the following reaction, X is an intermediate and Y is one of the end products. 

Which one of the following compounds is the end product Y? 


 

Which one of the following compounds is the simplest alkane that is optically active? 


 

The following carboxylic acids have a general formula, R-COOH.
(i) HCOOH
(ii) CH\(_3\) - COOH
(iii) ClCH\(_2\) - COOH
(iv) CF\(_3\) - COOH
Which one of the following represents the decreasing order of their respective pK\(_a\) values?
Determine the correctness or otherwise of the following Assertion [a] and the Reason [r].
Assertion [a]: The difference in the respective melting points of butter and coconut oil is caused by the degrees of saturation of the corresponding fatty acid chain.
Reason [r]: Unsaturated fatty acid chains in fats/lipids become solid more easily because they are relatively straight and thus able to pack together more closely than saturated chains.
Consider monoatomic ideal gas molecules of equal mass \( m \) in thermal equilibrium, at temperature \( T \). Which one of the following equations is correct? (the angular brackets denote average, \( k_B \) is Boltzmann constant, \( v \) is velocity, and \( v_x \) is the x-component of velocity)

Match the RNAs in Group I with their corresponding function in Group II 
Group I               Group II 
(P) snRNA          (1) rRNA processing 
(Q) piRNA          (2) RNA splicing 
(R) snoRNA        (3) Selected mRNAs degradation 
(S) siRNA            (4) Germ line protection from transposable elements 
 

If a coin is tossed three times, what is the probability that NO two successive tosses show the same face?
Which one of the following ions has the maximum number of unpaired electrons?

For an ideal gas at room temperature, choose the CORRECT representation(s) of Boyle's Law. 
(P = Pressure, V = Volume, T = Temperature) 

The curve \( y = x^4 - 4x^3 + 4x^2 - 4 \) has tangents parallel to the x-axis at the following points \( (x, y) \)

An ideal gas undergoes an isothermal expansion along path AB, adiabatic expansion along BC, isobaric compression along CD, isothermal compression along DE, and adiabatic compression along EA, as shown in the figure. The work done by the gas along the process BC is 10 J. The change in the internal energy along process EA is 16 J. The absolute value of the change in the internal energy along the process CD is ............ J. 

Using a battery, a 10 pF capacitor is charged to 50 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V, its capacitance is .............. pF.

The line integral of the vector function \(u(x, y) = 2y \, \hat{i} + x \, \hat{j}\) along the straight line from (0, 0) to (2, 4) is ..........
 

Figure shows a circuit diagram comprising Boolean logic gates and the corresponding timing diagrams showing digital signals at various points in the circuit. Which of the following is/are true?