List of top Questions asked in Tripura JEE

At 15 atm pressure, $ \text{NH}_3(g) $ is being heated in a closed container from 27°C to 347°C and as a result, it partially dissociates following the equation: $ 2\text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3\text{H}_2(g) $ If the volume of the container remains constant and pressure increases to 50 atm, then calculate the percentage dissociation of $ \text{NH}_3(g) $

If equilibrium constant for the equation $ A_2 + B_2 \rightleftharpoons 2AB \quad \text{is} \, K_p, $ then find the equilibrium constant for the equation $ AB \rightleftharpoons \frac{1}{2} A_2 + \frac{1}{2} B_2. $

15 mole of an ideal gas at 27°C is kept in a cylinder of 15 L capacity. Through the small leakage of the cylinder, all gases are passed out and mixed at the atmosphere. Considering atmospheric pressure to be 1 atm, find the amount of work done by the ideal gas.
Standard heat of formation values for $ \text{C}_2\text{H}_6(g), \, \text{CO}_2(g), \, \text{and} \, \text{H}_2\text{O}(l) $ are -21.1, -94.1, and -68.3 kcal mol$^{-1}$, respectively. Indicate the standard heat of combustion value of $ \text{C}_2\text{H}_6(g) $ involving the above data.

Consider the following reaction: $ \text{CO}(g) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{CO}_2(g) $ At 27°C, the standard entropy change of the process becomes -0.094 kJ/mol·K. Moreover, standard free energies for the formation of $ \text{CO}_2(g) $ and $ \text{CO}(g) $ are -394.4 and -137.2 kJ/mol, respectively. Predict the nature of the above chemical reaction.

In a Young’s double slit experiment, light of wavelength 620 nm is used with slit separation 0.3 mm and width of fringe 1.3 mm. The distance of the screen from source will be
Two plane mirrors kept at some angle with each other produce 5 images of any object kept between them. If the angle is decreased by 30°, then the number of images will be
Let the two variables $ x $ and $ y $ satisfy the following conditions: \[ x + y \leq 50, \quad x + 2y \leq 80, \quad 2x + y \geq 20, \quad x, y \geq 0. \] Then the maximum value of $ Z = 4x + 3y $ is:
If two vectors are $ \vec{a} = \hat{i} + \hat{j} $ and $ \vec{b} = \hat{j} + \hat{k} $, then the value of $ \vec{a} \times \vec{b} $ will be
At 300 K, both electron and hole density in an intrinsic silicon crystal is $ 15 \times 10^{15} \, \text{m}^{-3} $. When it is doped with indium, the hole density becomes $ 4.5 \times 10^{22} \, \text{m}^{-3} $. The extrinsic electron density will be
The work function of a photosensitive metal is 0.5 eV. If photons of energy 1 eV and 2.5 eV are incident on this metal separately, then the ratio of maximum kinetic energies of ejected electrons will be
The magnetic moment of a magnetized wire is $ M $. Now it is bent to form a section of a circle which subtends 60° on its center. Magnetic moment of the bend-shaped wire is

The equivalent capacitance of the circuit given between A and B is

If \[ \int \frac{3e^x + 5e^{-x}}{4e^x - 5e^{-x}} \, dx = Ax + B \ln |4e^{2x} - 5| + C \] then, the values of $ A $, $ B $, and $ C $ are:
What kind of colloid particle would result if ($ \text{AgNO}_3 $) solution is being added to excess KI solution?

Calculate the EMF of the Galvanic cell: $ \text{Zn} | \text{Zn}^{2+}(1.0 M) \parallel \text{Cu}^{2+}(0.5 M) | \text{Cu} $ Given: $ E^\circ_{\text{Zn}^{2+}/\text{Zn}} = -0.763 \, \text{V} $ and $ E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.350 \, \text{V} $

At 10°C, a urea solution has the osmotic pressure 500 mm of Hg. Now, if the solution is being diluted and the temperature is increased to 25°C, then osmotic pressure becomes 105.3 mm of Hg. Predict the degree of dilution of the urea solution.

Find the values of a, b, c, and d for the following redox equation: $ a\text{I}_2 + b\text{NO} + 4\text{H}_2\text{O} = c\text{HNO}_3 + d\text{HI} $

A solution contains 0.1 M $ \text{Mg}^{2+} $ ion. Indicate the optimum pH value so that $ \text{Mg(OH)}_2 $ can be precipitated from this solution ($ K_{\text{sp}}[\text{Mg(OH)}_2] = 1.0 \times 10^{-11} $).
At 27°C temperature and 770 mm pressure, 243 ml of a dry gas weighs 280 mg. Determine the molecular weight of the gas.
If energy of an electron in the first orbit is -13.6 eV, then predict the amount of energy required to transfer it to the fourth orbit.
Metal oxides of A(m) and B(m) are structurally similar. Atomic weight of A is 52 and vapor density of its chloride is 79. Oxide of B contains 47.1% oxygen. Considering the above data, calculate the atomic weight of B (in nearest whole number).

Explain the following nitration reaction:

SiF$_6^{2-}$ exists but CF$_6^{2-}$ does not. Offer reason.
Cite the name of the enzyme responsible for the following biochemical transformation: \[ C_6H_{12}O_6 (\text{Glucose}) \xrightarrow{\text{Enzyme}} 2C_2H_5OH + 2CO_2 (\text{Ethanol}) \]