1. Write any two uses of dimensional formulas.
2. Write the two angles of projection for the same horizontal ranges of a projectile
3. Mention any two advantages of friction
4. For which type of fluids, Bernouli’s theorem is applicable?
5. Write the theoretical limits of “Poisson’s ratio”.
6. Define “Moment of Inertia” and write its SI unit/
7. The pressure of a gas at 100oC is at 2 atm. When the gas is heated by keeping volume constant, at what temperature the pressure raises to 3 atm.?
8. What is “Triple point”? Write the value of triple point of water.
9. Why a gap should be left between the two successive rails?
10. Define “Emissive power” and “Absorptive power”.1. If the units of length and mass are doubled, how the unit of density is changed?
2. Mention the direction of motion of the projectile at the point of its maximum height. At that point, give the value of its velocity.
3. What happens to the frictional force if its surface is moderately polished and heavily polished?
4. Write Poiseuilli’s equation and explain the terms in it.
5. Within elastic limit, if stress is equal to Young’s modulus, what is the final length of the wire undergoing stress.
6. Is steel more elastic or less elastic than rubber? Why?
7. If a glass is compressed isothermally to 1/4th of its volume, find the ratio of initial and final pressures.
8. Define zeroth law of thermodynamics and first la of thermodynamics.
9. If coefficient of areal expansion is 12 X 10-6 oC-1, then find coefficient of cubical expansion of solid.
10. Which metal is used to seal glass? Why?1. Prove that Planck’s constant and angular momentum have same dimensions.
2. Distinguish between centre of mass and centre of gravity
3. Mention the laws of friction?
4. Define “angle of contact”. What are its values for pure water and mercury?
5. What is the significance of capillarity in daily life?
6. State Bernoulli’s theorem. For which type of fluids, Bernoulli’s theorem is applicable?
7. Define Boyle’s law and Charles law of a gas.
8. State first and second laws of thermodynamics.
9. Define triple point. Give the value of triple point of water.
10. Define Kirchhoff’s law of heat radiation and write its mathematical form.11. State “parallelogram Law” of vectors and derive an equation for the magnitude of resultant vector.
12. Show that in case of one dimensional elastic collision, the relative velocity of approach of two colliding bodies before collision is equal to the relative velocity of separation after collision.
13. Find the centre of mass of a system of masses 1kg, 2 kg, 3 kg and 4 kg located at the pints (0,0), (1,0) (1,1) and (0,1).
14. State and prove the parallel axes theorem of “moment of Inertia”.
15. Define Escape Velocity and derive the equation V= √2gR
16. Show that Cp-Cv = R
17. What is Capillarity? What should be the radius of capillary tube? If the water has to raise to a height of 6 cm in it? [Surface tension of water is 7.2 X 10-2 Nm-1 , g = 10 ms-2, Density of water is 103 kg m-3
11. Define parallelogram law of vectors and derive an equation for the magnitude of resultant vector.
12. Show that in the case of one dimensional elastic collision, the relative velocity of approach of two colliding bodies before collision is equal to the relative velocity of separation after collision.
13. Three particles of mass 1 kg, 2 kg, 3 kg, are located at co-ordinates (1,2,3), (2,3,1) and (3,1,2) respectively. Find the co-ordinates of centre of mass of the system.
14. State and prove the perpendicular axes theorem of moment of inertia.
15. Define orbital velocity and derive a formula for it
16. Derive Cp-Cv = R.
17. Define capillarity. Water rises to a length of 3 cm in a capillary tube on the earth, find the height upto which the water rises in the same capillary tube on the moon.
18. Define and explain Kirchhoff’s law. Mention two applications of Kirchhoff’s law.
19. Define potential and kinetic energies and deduce equations for them.
11. If the magnitude of the resultant of two equal vectors is equal to the magnitude of one of the vectors, find the angle between them.
12. Show that the trajectory of an object thrown horizontally from certain height is a parabola.
13. Why pulling the lawn roller is preferred to pushing the lawn roller?
14. Define Escape velocity and derive an equation for it.
15. Define Simple pendulum, Derive an equation for the time period of a simple pendulum,
16. Describe the behaviors of a wire under gradually increasing load.
17. Describe an experiment to determine the coefficient of apparent expansion of a liquid using specific gravity bottle.18. Derive the relation between volume coefficient and pressure coefficient of a gas.
19. What is “Energy”? State and prove the “Law of conservation of Energy “in the case of a freely falling body.
20. What is Simple Harmonic Motion? Derive an equation for the “ Time Period” of a simple pendulum,
The displacement of a body in simple harmonic motion is x = 4 cos (3πt + π/6).
21. Derive the relation between the co-efficients of Apparent and Real expansions of a Liquid. Describe an experiment to determine the coefficient of apparent expansion of a liquid, using specific gravity bottle.
20. Show that the motion of a simple pendulum is simple harmonic and derive an equation for hits time period. The displacement of a body executing simple harmonic motion is given by y= 5 sin ( 2πt + π/4). Find its amplitude and phase difference
21. Derive the relation between the coefficients of apparent and real expansions of a liquid. Describe an experiment to determine the coefficient of apparent expansion of a liquid using specific gravity bottle.
june 2004
19. State the law of conservation of energy and prove it in the case of a body projected vertically upwards
Find the power of an electric motor if it lifts 200 kg of water in 5 minuits from a well of 120 m depth.
20, State and prove the parallel axes theorem of moment of inertia. State the law of conservation of angular momentum.
A fly wheel has mass 140 kg, and radius of gyration 3.5 m, Find the moment of inertia of the fly wheel.
21. Define ideal gas. Describe the method to determine the pressure coefficient of a gas by Jolly’s bulb apparatus.
Give the value of universal gas constant and mention its units.
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