Question
Figure shows three identical springs A, B, C. when a 4 kg weight is hung on A, it descends by 1 cm. When a 6kg weight is hung on C, it will descend by
Answer: Option B
:
B
Let k be the force constant of each spring. The force F needed to extend the spring A by an amount x is
F=kxorx=Fk
In Fig, the springs are connected in series. Therefore, the force constant k’ of the combination is given by
1k′=1k+1k
Or k' = k2
If a force F’ is applied, the combination will extend by
x′=F′k′
Thus x′x=F′F.kk′= 64×kk/2=3
Or x' = 3x = 3×1cm=3cm
Hence the correct choice is (b).
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:
B
Let k be the force constant of each spring. The force F needed to extend the spring A by an amount x is
F=kxorx=Fk
In Fig, the springs are connected in series. Therefore, the force constant k’ of the combination is given by
1k′=1k+1k
Or k' = k2
If a force F’ is applied, the combination will extend by
x′=F′k′
Thus x′x=F′F.kk′= 64×kk/2=3
Or x' = 3x = 3×1cm=3cm
Hence the correct choice is (b).
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