Class XI Physics Mechanics of Solid 2

A vessel filled with water is placed on the edge of a board as shown in figure. A small board carrying some weight is placed on the water surface. Then choose the correct statement -

In a hydraulic press there is a larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. A 20 kg mass is loaded on the smaller piston. Density of oil in the press is 750 kg/m³. The thrust on the load by the larger piston is -

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %. What is the fundamental frequency of steel if density and elasticity of steel are 7.7 × 10³ kg/m³ and 2.2 × 10¹¹N/m² respectively?

A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to T_M. If Young’s modulus of the material of the wire is Y then is equal to:
(g = gravitational acceleration )

Two wires are made of the same material and have the same volume. However wire 1 has cross–section area A and wire 2 has cross–sectional area 3A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount?