A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg climbs on the rope in which of the following cases-will the rope break? (take g=10 ms² and neglect the mass of rope)

Let 

A thin liquid film formed between a u-shaped wire and a light slider supports a weight of (see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.

Surface tension is the phenomenon of a liquid's surface when it comes into contact with another phase. The least amount of surface area is typically acquired by liquids. As a result, the liquid's surface exhibits an elastic sheet-like behavior.
¶The forces of attraction between the particles of liquid and the forces of attraction of solids, liquids, or gases in contact with it affect surface tension. The energy or work requires to remove the molecules of the surface layer in a unit area is roughly equivalent to the energy responsible for the phenomenon of surface tension.

Three  masses 1 kg and 6 kg and 3 kg are connected to each other with threads and are placed on a table as shown in figure. The acceleration with which the system is moving is-ms²(g=10ms²)

The point of maximum and minimum attraction in the curve between potential energy (U) and distance (r) of a diatomic molecules are respectively.

The diagram shows the change x in the length of a thin uniform wire caused by the application of stress F at two different temperature   The variation

Which are of the following is the young's modulus (in for the wire having the stress strain curve in the figure.

If the surfaces shown in figure are frictionless, the ratio of T₁ and T₂ is……..

Three  blocks of masers m₁,m^₂ and  by massless strings as shown in figure, on a frictionless table. They are Pulled with the force T₃=40 N. If  m₁=10 kg,m₂=6 kg and m₃=4kg the tension T₂  will  be=...N

If  where  is the greatest integer no exeeding 

The diagram shows stress w/s strain curve for the materials A and B. From the curves we infer that

The value of force constant between the applied elastic. force F and displacement will be

The potential energy U between two molecules as a function of the distance x between them has been shown in the figure. The two molecules are.

The graph shows the behavior of a length of wire in the region for which the substance obeys Hooke's law. P & Q represent.

The graph is drawn between the applied force F and the strain (x) for a thin uniform wire the wire behaves as a Iiquid in the part.

The adjacent graph shows the extension  of a wire of length I m suspended from the top of a roof at one end with the load W connected to the other end. If the cross sectional area of the wire is , calculate the young's modulus of the material of the wire.