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GUJCET 2026
List of top Questions asked in GUJCET- 2026
\( \int \frac{e^{2025x} + e^{-2025x}}{e^{2025x} + e^{-2025x}} dx = \)_____ + C
GUJCET - 2026
GUJCET
Mathematics
Methods of Integration
\( \int e^x \left(\frac{1-x}{1+x^2}\right)^2 dx =\) _____ + C
GUJCET - 2026
GUJCET
Mathematics
Methods of Integration
\( \int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{dx}{1+\cot x} = \) _____
GUJCET - 2026
GUJCET
Mathematics
Methods of Integration
\( \int_{0}^{\pi} \left(\sin^2 \frac{x}{2} - \cos^2 \frac{x}{2}\right) dx =\) _____
GUJCET - 2026
GUJCET
Mathematics
Trigonometric Functions
\( \int \frac{dx}{\sqrt{9x - 4x^2}} = \)_____ + C
GUJCET - 2026
GUJCET
Mathematics
Trigonometric Functions
\( \int \sec^2 x \cdot \csc^2 x \, dx =\) _____ + C
GUJCET - 2026
GUJCET
Mathematics
Trigonometric Functions
In a Young's double slit experiment, the slits are separated by 0.2 mm and placed 2.0 m away. The distance between the central bright fringe and the first bright fringe (fringe width) is measured to be 1.5 cm. Determine the wavelength of light used in the experiment.
GUJCET - 2026
GUJCET
Physics
Wave optics
Which of the following compound is not allylic chloride?
GUJCET - 2026
GUJCET
Chemistry
Organic Chemistry
In potassium trioxalatoferrate(III), what are the primary and secondary valency of central atom respectively?
GUJCET - 2026
GUJCET
Chemistry
coordination compounds
Which of the following statement is not applicable to Valence Bond Theory?
GUJCET - 2026
GUJCET
Chemistry
coordination compounds
What is the true IUPAC name of \( \mathrm{Hg_2[Co(SCN)_6]} \) coordination compound?
GUJCET - 2026
GUJCET
Chemistry
Coordination chemistry
Which catalyst is used in Wacker process?
GUJCET - 2026
GUJCET
Chemistry
Organic Chemistry
Which of the following ion has highest magnetic moment value?
GUJCET - 2026
GUJCET
Chemistry
Coordination chemistry
Which of the following metal does not liberate \(\mathrm{H_2}\) gas by reacting with HCl?
GUJCET - 2026
GUJCET
Chemistry
Chemical Kinetics
The rate of the chemical reaction doubles for an increase of \(10 \, \mathrm{K}\) in absolute temperature from \(298 \, \mathrm{K}\). What will be the activation energy?
GUJCET - 2026
GUJCET
Chemistry
Chemical Kinetics
When the value of rate constant \((k)\) is \(2.0 \, \mathrm{min^{-1}}\), then what will be half time of reaction \((t_{1/2})\) in seconds?
GUJCET - 2026
GUJCET
Chemistry
Chemical Kinetics
Rate constant \( k = 4.5 \times 10^{-2}\ \mathrm{L^2\ mol^{-2}\ s^{-1}} \), then what is the order of reaction?
GUJCET - 2026
GUJCET
Chemistry
Chemical Kinetics
According to Arrhenius equation in graph of \( \log k \) to \( \dfrac{1}{T} \), the slope will be
GUJCET - 2026
GUJCET
Chemistry
Chemical Kinetics
How much electricity in terms of Faraday is required to produce \(40.0\) g of Al from molten \( \mathrm{Al_2O_3} \)?
GUJCET - 2026
GUJCET
Chemistry
Electrochemistry
Calculate the equilibrium constant of the following reaction:
\[ \mathrm{Cu_{(s)} + 2Ag^+_{(aq)} \rightarrow Cu^{2+}_{(aq)} + 2Ag_{(s)}}, \qquad E^\circ_{\text{cell}} = 0.46\,V \]
GUJCET - 2026
GUJCET
Chemistry
Electrochemistry
Which of the following statement is not true for fuel cell?
GUJCET - 2026
GUJCET
Chemistry
Electrochemistry
Which of the following metal behaves as weakest reducing agent?
GUJCET - 2026
GUJCET
Chemistry
Electrochemistry
Which of the following solutions will show negative deviation from Raoult's law?
GUJCET - 2026
GUJCET
Chemistry
Physical Chemistry
Calculate the mass of ascorbic acid \((\mathrm{C_6H_8O_6})\) to be dissolved in \(75\) g of acetic acid to lower its melting point by \(1.5^\circ \mathrm{C}\). \(K_f = 3.9\ \mathrm{K\ kg\ mol^{-1}}\); \(H = 1,\ C = 12,\ O = 16\ amu\)
GUJCET - 2026
GUJCET
Chemistry
Physical Chemistry
For the ideal solutions, which of the following condition is suitable?
GUJCET - 2026
GUJCET
Chemistry
Physical Chemistry
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