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A Solid Sphere Falls with a Terminal Velocity of 20 M S−1 in Air. If It is Allowed to Fall in Vacuum, - Physics

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प्रश्न

A solid sphere falls with a terminal velocity of 20 m s−1 in air. If it is allowed to fall in vacuum, 

पर्याय

  •  terminal velocity will be 20 m s−1

  •  terminal velocity will be less than 20 m s−1

  •  terminal velocity will be more than 20 m s−1

  • there will be no terminal velocity

MCQ

उत्तर

In vacuum, no viscous force exists. The sphere therefore, will have constant acceleration because of gravity. An accelerated motion implies that it won't have uniform velocity throughout its motion. In other words, there will be no terminal velocity.  

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पाठ 14: Some Mechanical Properties of Matter - MCQ [पृष्ठ २९९]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
पाठ 14 Some Mechanical Properties of Matter
MCQ | Q 28 | पृष्ठ २९९

संबंधित प्रश्‍न

A piece of wood is taken deep inside a long column of water and released. It will move up


A solid sphere moves at a terminal velocity of 20 m s−1 in air at a place where g = 9.8 m s−2. The sphere is taken in a gravity-free hall having air at the same pressure and  pushed down at a speed of 20 m s−1.

(a) Its initial acceleration will be 9.8 m s−2 downward.
(b) It initial acceleration will be 9.8 m s−2 upward.
(c) The magnitude of acceleration will decrease as the time passes.
(d) It will eventually stop


A metal sphere of radius 'R' and density 'ρ1' is dropped in a liquid of density 'σ' moves with terminal velocity 'v'. Another metal sphere of same radius and density 'ρ2' is dropped in the same liquid, its terminal velocity will be ______.


Two spheres of equal masses but radii r1 and r2 are allowed to fall in a liquid of infinite column. The ratio of their terminal velocities are ____________.


A small sphere of mass m is dropped from a great height. After it has fallen 100 m, it has attained its terminal velocity and continues to fall at that speed. The work done by air friction against the sphere during the first 100 m of fall is ______.


A drop of radius 1.5 x 10-5 and density 2 x 103 kg/m3 falls through air. The viscosity of air is 1.8 x 10-5 N s/m2. Neglecting buoyancy due to air, the terminal speed of the drop is ____________.


Two small spherical metal balls, having equal masses, are made from materials of densities `rho_1` and`rho_2  (rho_1 = 8rho_2)` and have radii of 1 mm and 2 mm, respectively, they are made to fall vertically (from rest) in a viscous medium whose coefficient of viscosity equals `eta` and whose density is `0.1rho_2` The ratio of their terminal velocities would be, ____________.


The radii of the two spheres P and Q of same material falling in the viscous liquid are in the ratio 3 : 2, their terminal velocities (P to Q) are in the ratio ______.


A small metal ball of mass 'm' is dropped in a liquid contained in a vessel, attains a terminal velocity 'v'. If a metal ball of same material but of mass '8m' is dropped in same liquid then the terminal velocity will be ____________.


Two rain drops falling through air have radii in the ratio 1 : 2. They will have terminal velocity in the ratio ______.


Two drops of equal size are falling vertically through the air with a constant terminal velocity of 0.15 cm/s. What should be the velocity, if these drops coalesce to form one drop? 


A tall cylinder is filled with viscous oil. A round pebble is dropped from the top with zero initial velocity. From the plot shown in figure, indicate the one that represents the velocity (v) of the pebble as a function of time (t).


A small spherical ball of radius 0.1 mm and density 104 kg m-3 falls freely under gravity through a distance of h before entering a tank of water. If, after entering the water the velocity of the ball does not change and it continues to fall with the same constant velocity inside the water, then the value of h will be ______ m.

(Given g = 10 ms-2, the viscosity of water = 1.0 × 10-5 N-sm-2).


Two solid spherical balls of radius r1 and r2 (r2 < r1), of density σ are tied up with a long string and released in a viscous liquid column of lesser density ρ and coefficient of viscosity η, with the string just taut as shown. The terminal velocity of spheres is ______.


A spherical solid ball of volume V is made up of a material of density ρ1. It is falling through the liquid of density ρ22 < ρ1). Assume that, the liquid applies a viscous force on the ball that is proportional to the square of the speed vt, i.e., `["F"_"viscous" = "KV"_"t"^2]`, then the terminal speed of the ball is ______.

(g = acceleration due to gravity)


Two equal drops of water are falling through air with a steady velocity v. If the drops coalesce, the new velocity will be ______.


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