JEE Advanced Model Paper 10 with solutions for online practice

Question : 14 of 54

Marks: +1, -0

A uniform circular ring of radius R and mass m is made of an elastic material. Symmetrical radially outward forces shown by arrows are applied on the ring to increase its radius from R to R + d (d ≪ R) as shown in figure. Magnitude of forces per unit length is F. (Young’s modulus of material of the ring is Y and the area of its crosssection is A) Choose the correct option(s).

Tension developed in the ring when radius is R + d is given by
YAd
R
Tension developed in the ring when radius is R + d is given by
YAd
2R
If all the external forces are removed when the radius is R + d, then the minimum time taken by ring tocome to its original radius is given by
1
4
√
2πmR
AY
If all the external forces are removed when the radius is R + d, then the minimum time taken by ring to cometo its original radius is given by
1
2
√
2πmR
AY

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