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]
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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.
answer is D.
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Detailed Solution
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.
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]