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Match the LIST-I with LIST-II List-I A. Spring constant B. Thermal conductivity C. Boltzmann constant D. Inductive reactance List-II I. ML²T⁻²K⁻¹ II. ML⁰T⁻² III. ML²T⁻³A⁻² IV. MLT⁻³K⁻¹ Choose the correct answer from the options given below:

Match the LIST-I with LIST-II Q. Match the LIST-I with LIST-II List-I A. Spring constant B. Thermal conductivity C. Boltzmann […]

A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is _____ kg·m².

Moment of inertia of two solid spheres about tangent through point of contact Q. A solid sphere of mass 5

Consider an equilateral prism (refractive index √2). A ray of light is incident on its one surface at a certain angle i. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to _____.

Equilateral prism grazing emergence angle of refraction calculation Q. Consider an equilateral prism (refractive index $sqrt{2}$). A ray of light

7.9 MeV α-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) _____ m.

Alpha particle scattering nuclear diameter estimation Q. 7.9 MeV $alpha$-particle scatters from a target material of atomic number 79. From

Electric field in a region is given by \vec{E} = Ax\hat{i} + By\hat{j}, where A = 10 V/m^2 and B = 5 V/m^2. If the electric potential at a point (10, 20) is 500 V, then the electric potential at origin is _____ V.

Electric field Ax i + By j potential calculation at origin Q. Electric field in a region is given by

A simple pendulum has a bob with mass m and charge q. The pendulum string has negligible mass. When a uniform and horizontal electric field E⃗ is applied, the tension in the string changes. The final tension in the string, when pendulum attains an equilibrium position is _____.

Simple pendulum with charged bob in horizontal electric field tension calculation Q. A simple pendulum has a bob with mass

Given below are two statements: Statement I: Pressure of a fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid. Statement II: Excess potential energy of the molecules on the surface of a liquid, when compared to interior, results in surface tension. In the light of the above statements, choose the correct answer from the options given below.

Pressure in fluids and surface tension statement based question Q. Given below are two statements : Statement I : Pressure

A projectile is thrown upward at an angle 60° with the horizontal. The speed of the projectile is 20 m/s when its direction of motion is 45° with the horizontal. The initial speed of the projectile is _____ m/s.

A projectile is thrown upward at an angle 60 degree with the horizontal initial speed calculation Q. A projectile is

Consider A → B and C → D are two reactions. If the rate constant (k1) of the A → B reaction can be expressed by the following equation log10 k = 14.34 − (1.5 × 10^4) / (T/K) and activation energy of C → D reaction (Ea2) is 1/5 th of the A → B reaction (Ea1), then the value of (Ea2) is _____ kJ mol−1. (Nearest Integer)

Consider A to B and C to D reactions activation energy calculation using Arrhenius equation Q. Consider A → B

If the enthalpy of sublimation of Li is 155 kJ mol−1, enthalpy of dissociation of F2 is 150 kJ mol−1, ionization enthalpy of Li is 520 kJ mol−1, electron gain enthalpy of F is −313 kJ mol−1, standard enthalpy of formation of LiF is −594 kJ mol−1. The magnitude of lattice enthalpy of LiF is _____ kJ mol−1. (Nearest Integer)

If the enthalpy of sublimation of Li is 155 kJ mol−1 enthalpy of dissociation of F2 is 150 kJ mol−1

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