The length of rubber cord is l1 meters when the tension is 4 N and l2 meters when the tension is 5 N. The length in meters when the tension is 9 N is
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a
5l1−4l2
b
5l2−4l1
c
9l1−8l2
d
8l2−5l1
answer is B.
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Detailed Solution
l1-l =kT1⇒l1 -l =k(4)----(1)l2 -l=k T2⇒l2-l =k(5)----(2)dividing (1) and (2) we get l=5l1 -4l2---(3)l3 -l = k(9)---(4)l2 -l =k(5)----(5)dividing (4) and (5) we get l=5l2 -4l1