Home
Class 12
PHYSICS
Young’s moduli of two wires A and B are ...

Young’s moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is close to:

Text Solution

Verified by Experts

`Delta_(1)=Delta_(2)`
or`(Fl_(1))/(pir_(1)^(2)y_(1))=(Fl_(2))/(pir_(2)^(2)y_(2))`
or `2/(R^(2)xx6)=1.5/(2^(2)xx4)`
`:.R=1.75mm`
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER-9 (MECHANICAL PROPERTIES OF FLUIDS)|15 Videos

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER -10 (THERMAL PROPERTIES OF MATTER)|15 Videos

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER -7 (GRAVITATION)|15 Videos

  • ATOMS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • COMMUNICATION SYSTEM

    DISHA PUBLICATION|Exercise EXERCISE-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

young's module of two wires X and Y are in the ratio 25:16 wire X is 4m long and has radius R , wire Y is 9m long and has radius 2mm . If the two wires stretch by the same length for a given load, then the value of R is -

young's module of two wires x and y are in the ratio 25:16 wire x is 4m long and has radius R wire y is 9m long and has radius 2mm .If the two wires stretch by the same length for a given load,then the value of R is

A and B are two wire. The radius of A is twice that of B. If they are stretched by the same load, then the stress on B is

Two metallic wires A and B are connected in parallel. Wire A has length l and radius r, wire B has a length 2 l and radius 2r. Compute the ratio of the total resistance of parallel combination and the resistance of wire A.

Two wires A and B are made of same material. The wire A has a length l and diameter r while the wire B has a length l and diameter r while the wire B has a length 2l and diameter r/2. If the two wires are stretched by the same force the elongationn in A divided by the elongation in B is

The radii and Young's moduli of two uniform wires A and B are in the ratio 2:1 and 1:2 respectively. Both wires are subjected to the same longitudinal force. If the increase in leangth of the wire A is one percent, the percentage increae in length of the wire B is