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A piece of wood of mass m is floating erect in a liquid whose density is ρ. If it is slightly pressed down and released, then executes simple harmonic motion. Show that its time period of oscillation is T = `2π sqrt("m"/("Ag"ρ))`
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Compute the time period for the following system if the block of mass m is slightly displaced vertically down from its equilibrium position and then released. Assume that the pulley is light and smooth, strings and springs are light.


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One of the combinations from the fundamental physical constants is `"hc"/"G"`. The unit of this expression is ______
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If the length and time period of an oscillating pendulum have errors of 1% and 3% respectively then the error in measurement of the acceleration due to gravity is ______
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Which of the following pairs of physical quantities have the same dimension?
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The density of a material in the CGS system of units is 4 g cm-3. In a system of units in which the unit of length is 10 cm and unit of mass is 100 g, then the value of density of the material will be ______
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Planck’s constant (h), speed of light in vacuum (c), and Newton’s gravitational constant (G) are taken as three fundamental constants. Which of the following combinations of these has the dimension of length?.
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Briefly explain the types of physical quantities.
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How will you measure the diameter of the Moon using the parallax method?
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Explain the use of a screw gauge and vernier caliper in measuring smaller distances.
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Write a short note on the following.
Unit
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Show that impulse is the change of momentum.
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Prove the law of conservation of linear momentum. Use it to find the recoil velocity of a gun when a bullet is fired from it.
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A rigid body rotates with an angular momentum L. If its kinetic energy is halved, the angular momentum becomes, ______
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A particle undergoes uniform circular motion. The angular momentum of the particle remains conserved about, ______
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When a mass is rotating in a plane about a fixed point, its angular momentum is directed along, ______
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Give any two examples of torque in day-to-day life.
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What is the relation between torque and angular momentum?
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What are the rotational equivalents for the physical quantities, (i) mass and (ii) force?
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Discuss conservation of angular momentum with example.
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