Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KVPY2017PhysicsMechanical Properties of Fluids

A spherical marble of radius 1 ~cm is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height 40 ~cm and filled with water up to 10 ~cm . If the mass of the marble is 20 ~g , the net force on the marble due to water is close to

Options

  1. A0.02 ~N upward
  2. B0.02 ~N downward
  3. C0.04 ~N upward
  4. D0.04 ~N dowrward

Correct answer

D. 0.04 ~N dowrward

Step-by-step solution

=( g h) A- ( 2 3 R³ ) g=A (10³ 10 10 10⁻² )- 2 3 10⁻² 10³ 10 Area =0.04 ~N dowanward

Practice Mechanical Properties of Fluids on Quantrex Academy →

More from Mechanical Properties of Fluids

Calculate the vapour pressure that can help the formation of a spherical droplet of water of radius 6.25 10⁻⁵ m at 22°C. Given: The surface tension of water at the given temperatur 2026A small hollow vessel which has a small circular hole of radius r in its base, is immersed in a tank of oil of density and surface tension T. The oil will penetrate into the vessel 2026Instrument fitted in the carburetor of the automobile to provide the correct mixture of air and fuel necessary for combustion works on 2026A 30 cm long capillary tube is dipped in water, water rises upto a height of 10 cm due to capillarity. If this experiment is conducted in a freely falling water in an elevator, the 2026If two soap bubbles each of radius 2 cm combine in vacuum under isothermal conditions, then the radius of the new bubble formed is 2025A wire of length 20 cm is placed horizontally on the surface of water and is gently pulled up with a force of 1.456 10⁻² ~N to keep the wire in equilibrium. The surface tension of 2025When the temperature increases, the viscosity of 2025In a water tank, an air bubble rises from the bottom to the top surface of the water. If the depth of the water in the tank is 7.28 m and atmospheric pressure is 10 m of water, the 2025 Full Mechanical Properties of Fluids list All KVPY PYQs