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qUESTIONS

MCQs-PYQs-12th-jee

Consider a solid sphere of radius R and mass density p(r) = po(1-r^2/R^2) 0<r< R. The minimum density of of a liquid in which it will float is:

MCQs-PYQs-12th-jee

An ideal fluid flows (laminar flow) through a pipe of non- uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:

MCQs-PYQs-12th-jee

A solid sphere of radius Racquires a terminal velocity when falling (due to gravity) through a viscous fluid having a coefficient of viscosity η. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity v₂ when falling through the same fluid, the ratio (v1/v2) equals

MCQs-PYQs-12th-jee

A submarine experiences a pressure of 5.05 * 10 ^ 6 * Pa at a depth of d₁ in a sea. When it goes further to a depth of d₂, it experiences a pressure of 8.08 * 10 ^ 6 * Pa Then d₂-d₁ is approximately (density of water = 103 kg/m³ and acceleration due to gravity = 10ms²)

MCQs-PYQs-12th-jee

A wooden block floating in a bucket of water has 4/5 of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is

MCQs-PYQs-12th-jee

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1/16 th of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is

MCQs-PYQs-12th-jee

Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5cm, the Reynolds number for the flow is the order of (density of water = 1000kg/m³, coefficient of viscosity of water = 1 m Pas)

MCQs-PYQs-12th-jee

A liquid of density p is coming out of a hose pipe of radius a with horizontal speed v and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% loses all of its momentum and 25% comes back with the same speed. The resultant pressure on the mesh will be

MCQs-PYQs-12th-jee

Water flows into a large tank with flat bottom at the rate of 10m³s¹. Water is also leaking out of a hole of area 1cm² at its bottom. If the height of the water in the tank remains steady, then this height is

MCQs-PYQs-12th-jee

The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 m³/min water per minute through a circular opening of 2cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to

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