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Derive an expression for maximum safety speed with which a vehicle should move along a curved horizontal road. State the significance of it.
Concept: Rotational Dynamics
The moment of inertia of a body about a given axis is 1.2 kgm2. initially, the body is at rest. For what duration on the angular acceleration of 25 radian/sec2 must be applied about that axis in order to produce rotational kinetic energy of 1500 joule?
Concept: Moment of Inertia as an Analogous Quantity for Mass
Derive an expression for the difference in tensions at the highest and lowest point for a particle performing the vertical circular motion.
Concept: Vertical Circular Motion
Derive an expression for critical velocity of a satellite revolving around the earth in a circular orbit.
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
Explain why an astronaut in an orbiting satellite has a feeling of weightlessness.
Concept: Weightlessness
State Kepler's law of orbit and law of equal areas.
Concept: Kepler’s Laws
Why two or more mercury drops form a single drop when brought in contact with each other?
Concept: Fluid and Its Properties
Two capillary tubes of radii 0.6 cm and 0.3 cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes is ______.
Concept: Fluid and Its Properties
Define surface tension.
Concept: Surface Tension
What are cohesive forces?
Concept: Fluid and Its Properties
Derive an expression for the terminal velocity of the sphere falling under gravity through a viscous medium.
Concept: Stokes’ Law
State Wein's displacement law
Concept: Wien's Displacement Law
Prove the theorem of parallel axes about moment of inertia
Concept: Theorems of Perpendicular and Parallel Axes
Explain the physical significance of radius of gyration
Concept: Physical Significance of M.I (Moment of Inertia)
State and prove Kirchoff’s law of heat radiation.
Concept: Kirchhoff’s Law of Heat Radiation and Its Theoretical Proof
On what factors do the degrees of freedom depend?
Concept: Law of Equipartition of Energy
Explain the spectral distribution of blackbody radiation.
Concept: Spectral Distribution of Blackbody Radiation
In an ideal gas, the molecules possess ______.
Concept: Interpretation of Temperature in Kinetic Theory
The average energy per molecule is proportional to ______
Concept: Gases and Its Characteristics
Under which condition laws of Boyle, Charles, and Gay-Lussac are valid?
Concept: Interpretation of Temperature in Kinetic Theory
