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State the formula for critical velocity in terms of Reynold's number for a flow of a fluid.
Concept: Critical Velocity and Reynolds Number
Eight droplets of water each of radius 0.2 mm coalesce into a single drop. Find the decrease in the surface area.
Concept: Surface Tension
If ‘θ’ represents the angle of contact made by a liquid which completely wets the surface of the container then ______.
Concept: Angle of Contact
Define the coefficient of viscosity.
Concept: Viscous Force or Viscosity
State the formula and S.I. units of coefficient of viscosity.
Concept: Viscous Force or Viscosity
Calculate the work done in blowing a soap bubble to a radius of 1 cm. The surface tension of soap solution is 2.5 × 10−2 N/m.
Concept: Surface Tension and Surface Energy
The dimensional formula of surface tension is ______.
Concept: Molecular Theory of Surface Tension
Why a detergent powder is mixed with water to wash clothes?
Concept: Effect of Impurity and Temperature on Surface Tension
Define the surface energy of the liquid.
Concept: Surface Tension and Surface Energy
Obtain an expression for total kinetic energy of a rolling body in the form
`1/2 (MV^2)[1+K^2/R^2]`
Concept: Definition of M.I., K.E. of Rotating Body
For polyatomic molecules having 'f' vibrational modes, the ratio of two specific heats,Cp/Cv is..........
Concept: Law of Equipartition of Energy
A body of moment of inertia 5 kgm2 rotating with an angular velocity 6 rad/s has the same kinetic energy as a mass of 20 kg moving with a velocity of ......
Concept: Physical Significance of M.I (Moment of Inertia)
The kinetic energy of a rotating body depends upon................
- distribution of mass only.
- angular speed only.
- distribution of mass and angular speed.
- angular acceleration only.
Concept: Definition of M.I., K.E. of Rotating Body
State the theorem of perpendicular axes about moment of inertia.
Concept: Theorems of Perpendicular and Parallel Axes
State an expression for the moment of intertia of a solid uniform disc, rotating about an axis passing through its centre, perpendicular to its plane. Hence derive an expression for the moment of inertia and radius of gyration:
i. about a tangent in the plane of the disc, and
ii. about a tangent perpendicular to the plane of the disc.
Concept: Theorems of Perpendicular and Parallel Axes
A thin wire of length L and uniform linear mass density r is bent into a circular coil. M. I. of the coil about tangential axis in its plane is ................................
- `(3rhoL^2)/(8pi^2)`
- `(8pi^2)/(3rhoL^2)`
- `(3rhoL^3)/(8pi^2)`
- `(8pi^2)/(3rhoL^3)`
Concept: Physical Significance of M.I (Moment of Inertia)
A body starts rotating from rest. Due to a couple of 20 Nm it completes 60 revolutions in one minute. Find the moment of inertia of the body.
Concept: Physical Significance of M.I (Moment of Inertia)
The moment of inertia of a thin uniform rod of mass M and length L, about an axis passing through a point, midway between the centre and one end, perpendicular to its length is .....
(a)`48/7ML^2`
(b)`7/48ML^2`
(c)`1/48ML^2`
(d)`1/16ML^2`
Concept: Physical Significance of M.I (Moment of Inertia)
A wheel of moment of inertia 1 Kgm2 is rotating at a speed of 40 rad/s. Due to friction on the axis, the wheel comes to rest in 10 minutes. Calculate the angular momentum of the wheel, two minutes before it comes to rest.
Concept: Physical Significance of M.I (Moment of Inertia)
Derive an expression for kinetic energy, when a rigid body is rolling on a horizontal surface without slipping. Hence find kinetic energy for a solid sphere.
Concept: Rolling Motion
