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What is a conical pendulum? Obtain an expression for its time period
Concept: Rotational Dynamics
Obtain an expression for maximum safety speed with which a vehicle can be safely driven along a curved banked road.
Concept: Rotational Dynamics
When the bob performs a vertical circular motion and the string rotates in a vertical plane, the difference in the tension in the string at horizontal position and uppermost position is ______.
Concept: Vertical Circular Motion
Calculate the moment of inertia of a uniform disc of mass 10 kg and radius 60 cm about an axis perpendicular to its length and passing through its center.
Concept: Moment of Inertia as an Analogous Quantity for Mass
An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10-11 m with a speed of 3 × 106 m/s. Find the angular momentum of electron.
Concept: Angular Momentum or Moment of Linear Momentum
If friction is made zero for a road, can a vehicle move safely on this road?
Concept: Applications of Uniform Circular Motion
Derive expressions for the linear velocity at the lowest position, mid-way position and top-most position for a particle revolving in a vertical circle, if it has to just complete circular motion without string slackening at the top.
Concept: Vertical Circular Motion
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
