Class 11th

In the reported figure, there is a cyclic process ABCDA on a sample of 1mol of a diatomic gas. The temperature of the gas during the process A→B and C→D are T? and T? (T? > T?) respectively. Choose the correct option out of the following for work done if processes BC and DA are adiabatic.

The number of molecules in one litre of an ideal gas at 300K and 2 atmospheric pressure with mean kinetic energy 2 * 10? J per molecule is:

Assertion A: If A, B, C, D are four points on a semi-circular arc with centre at 'O' such that |AB| = |BC| = |CD|, then AB + AC + AD = 4AO + OB + OC
Reason R: Polygon law of vector addition yields AB + BC + CD = AD = 2AO

In the light of the above statements, choose the most appropriate answer from the options given below:

A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is (a << A):

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2m and 2m respectively. A moves towards B with a speed of 9m/s and makes an elastic collision with it. Thereafter B makes a completely inelastic collision with C. All motions occur along same straight line. The final speed of C is:

The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the ratio of MI of bigger disc around axis AB (which is ⊥ to the plane of the disc and passing through its centre) to MI of smaller disc around one of its diameters lying on its plane? Given 'M' is the mass of the larger disc. (MI stands for moment of inertia)

Kindly consider the following figure

Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y? and Y?. The combination behaves as a single wire then its Young's modulus is :

A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its circular plane and passing through its centre of mass. The retarding torque required to bring the disc at rest in 10s is __________ π * 10?¹ Nm.

A force of F = (5y + 20)ĵ acts on a particle. The work done by this force when the particle is moved from y = 0m to y = 10m is __________ J.