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Questions  

Assertion : A spring of force constant k is cut into two pieces having lengths in the ratio 1 : 2. The force constant of series combination of the two parts is 3k/2.
Reason : The spring connected in series are represented by k = k1+ k2.                  [AIIMS 2017] 

a
Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
b
Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
c
Assertion is correct but Reason is incorrect.
d
Both Assertion and Reason are incorrect.

detailed solution

Correct option is D

As we know,   k=Fl⇒k∝1l⇒K1=1+21K =3K and K2=1+22K =3K2 In series,   1k'=1k1+1k2=13K+23K ⇒K'=K So, both Assertion and Reason are incorrect.

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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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