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An area of cross-section of rubber string is . Its length is doubled when stretched with a linear force of . The Young's modulus of the rubber in will be

A

B

C

D

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If length of the wire is doubled then strain
Stress
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19 UNITS AND MEASUREMENT the radius so that where is in radians. Fig. 2.2 Parallax method. Having determined , we can employ a similar method to determine the size or angular diameter of the planet. If is the diameter of the planet and the angular size of the planet (the angle subtended by at the earth), we have (2.2) The angle can be measured from the same location on the earth. It is the angle between the two directions when two diametrically opposite points of the planet are viewed through the telescope. Since is known, the diameter of the planet can be determined using Eq. (2.2). Example 2.1 Calculate the angle of (a) (degrec) (b) I' (minute of arc or arcmin) and (second of arc or are second) in radians. Use rad, and Answer (a) We have rad (b) (c) Dxample 2.2 A man wishes to estimate the distance of a nearby tower from him. He stands at a point in front of the tower C and spots a very distant object in line with AC. He then walks perpendicular to AC up to B, a distance of , and looks at 0 and again. Since is very distant. the direction is practically the same as AO; but he finds the line of sight of shifted Irom the original line of sight by an angle is known as 'parallax') estimate the distance of the tower C from his origimal position A. Fig. 2.3 Answer We have, parallax angle From Fig. 2.3, AB = AC Example 2.3 The moon is observed from two diametrically opposite points and on Earth. The angle subtended at the moon by the two directions of observation is . Given the diameter of the Earth to be about . compute the distance of the moon from the Earth. Answer We have since . Alșo Hence from Eq. (2.1), we have the earth-moon distance, Example 2.4 The Sum's angular diameter is measured to be . The distance D of the Sun from the Earth is . What is the diameter of the Sun?
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Question Text
An area of cross-section of rubber string is . Its length is doubled when stretched with a linear force of . The Young's modulus of the rubber in will be
TopicMechanical Properties of Solids
SubjectPhysics
ClassClass 11
Answer TypeText solution:1
Upvotes44