JEE Main || Mechanics || Super Quiz 11

A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let be the pressure inside the inner bubble and the pressure outside the outer bubble. Radius (in cm) of another bubble with pressure difference between its inside and outside would be :

The mass of a hydrogen molecule is If hydrogen molecules strike, per second, a fixed wall of area at an angle of 45 ° to the normal, and rebound elastically with a speed of 10³ m/s, then the pressure on the wall is nearly

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, is :

A steel rail of length 5 m and area of cross section 40 cm² is prevented from expanding along its length while the temperature rises by 10°C. If coefficient of linear expansion and Young’s modulus of steel are and respectively, the force developed in the rail is approximately:

A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal:

The velocity of water in a river is 18 km/hr near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water poise.

A cylinder vessel of cross-section A contains water to a height h. There is a hole in the bottom of radius ‘a’. The time in which it will be emptied is:

The Bulk moduli of Ethanol, Mercury and water are given as 0.9, 25 and 2.2 respectively in units of For a given value of pressure, the fractional compression in volume is Which of the following statements about for these three liquids is correct?

A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8). The height of water is 3 m and that of kerosene 2 m. When the hole is opened the velocity of fluid coming out from it is nearly : (take and density of water )