Home
Class 11
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:

A

1.5mm

B

1.7mm

C

1.9mm

D

1.3mm

Text Solution

Verified by Experts

The correct Answer is:
B
`Y= (Fl)/(pi r^(2) Delta l)`
`(Y_(A))/(Y_(B)) = (Fl_(A))/(pi r_(A)^(2) Delta l) xx (pi r_(B)^(2) Delta l)/(Fl_(B)) rArr (7)/(4) = (2)/(1.5) xx (2^(2))/(r_(A)^(2))`
`r_(A)^(2)= (4 xx 2 xx 2^(2))/(1.5 xx7) rArr r_(A)= 1.7` mm
Promotional Banner

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