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A ceiling fan has a moment of inertia of 2 kg. m2. It attains maximum frequency of 60 r.p.m. in 2π seconds. Calculate its power rating.
Concept: Conservation of Angular Momentum
State and prove the theorem of the parallel axis about the moment of inertia.
Concept: Theorems of Perpendicular and Parallel Axes
Calculate the change in angular momentum of the electron when it jumps from third orbit to first orbit in hydrogen atom.
(Take h = 6.33 × 10−34 Js)
Concept: Angular Momentum or Moment of Linear Momentum
The moment of inertia (MI) of a disc of radius R and mass M about its central axis is ______.
Concept: Moment of Inertia as an Analogous Quantity for Mass
Define centripetal force.
Concept: Circular Motion and Its Characteristics
Derive an expression for maximum speed moving along a horizontal circular track.
Concept: Applications of Uniform Circular Motion
A horizontal force of 0.5 N is required to move a metal plate of area 10−2 m2 with a velocity of 3 × 10−2m/s, when it rests on 0.5 × 10−3 m thick layer of glycerin. Find the coefficient of viscosity of glycerin.
Concept: Applications of Uniform Circular Motion
The radius of a circular track is 200 m. Find the angle of banking of the track, if the maximum speed at which a car can be driven safely along it is 25 m/sec.
Concept: Applications of Uniform Circular Motion
The energy of the free surface of a liquid drop is 5π times the surface tension of the liquid. Find the diameter of the drop in C.G.S. system.
Concept: Surface Tension
A sonometer wire vibrates with frequency n1 in air under suitable load of specific gravity of . When the load is immersed in water, the frequency of vibration of wire n2 will be .........
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
What is the decrease in weight of a body of mass 600kg when it is taken in a mine of depth 5000m?
[ Radius of earth = 6400km, g = 9.8 m/s2 ]
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
The dimensions of universal gravitational constant are........................
a. [L1M0T0]
b. [L2M1T0]
c. [L-1M1T-2]
d. [L3M-1T-2]
Concept: Newton’s Law of Gravitation
The surface tension of water at 0°C is 75.5 dyne/cm. Calculate surface tension of water at 25°C.
(α for water = 2.7×10-3/°C)
Concept: Surface Tension
Calculate the period of revolution of Jupiter around the Sun. The ratio of the radius of Jupiter’s orbit to that of the Earth’s orbit is 5.
(Period of revolution of the Earth is 1 year)
Concept: Newton’s Law of Gravitation
Derive an expression for excess pressure inside a drop of liquid.
Concept: Surface Tension
Angle of contact for the pair of pure water with clean glass is _______.
Concept: Surface Tension
A raindrop of diameter 4 mm is about to fall on the ground. Calculate the pressure inside the raindrop. [Surface tension of water T = 0.072 N/m, atmospheric pressure = 1.013 x 105 N/m2 ]
Concept: Surface Tension
Draw a neat labelled diagram showing forces acting on the meniscus of water in a capillary tube.
Concept: Surface Tension
Determine the binding energy of satellite of mass 1000 kg revolving in a circular orbit around the Earth when it is close to the surface of Earth. Hence find kinetic energy and potential energy of the satellite. [Mass of Earth = 6 x 1024 kg, radius of Earth = 6400 km; gravitational constant G = 6.67 x 10-11 Nm2 /kg2 ]
Concept: Binding Energy and Escape Velocity of a Satellite
A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving velocity at lowest point as 7 m/s. Find the velocity at the highest point. [Acceleration due to gravity = 9.8 m/s2 ]
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
