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Questions  

A load suspended by a massless spring produces an extension of x cm in equilibrium. When it is cut into
two unequal parts, the same load produces an extension of 7.5 cm when suspended by the larger 
part of length 60 cm. When it is suspended by the smaller part, the extension is 5.0 cm. Then,

a
x = 12.5 cm
b
x = 3.0 cm
c
the length of the original spring is 90 cm
d
the length of the original spring is 80 cm

detailed solution

Correct option is A

Elongation of the wire,  Δl=FlAY (Can also be applied for a spring)∴  Δl∝l7.55.0=60l2⇒l2=40cm∴  Length of original spring is (60+ 40) cm= 100 cmNow,   x7.5=10060x = 12.5cm

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Similar Questions

Two similar springs P and Q have spring constants Kp and KQ such that Kp > KQ. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.


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