Question

Four identical springs when connected in series has equivalent
spring constant 2 Nm-'. Now if they are all connected in parallel,
the equivalent spring constant is
32 Nm-1
16 Nm
8 Nm-1
0.2 Nm-1​

Answer 1

Answer:

Option B (16 Nm-1) is the correct answer

Explanation:

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Answer 2

Given:

The equivalent spring constant for four identical springs connected in series = 2 N/m

To find:

The equivalent spring constant when the springs are connected in parallel.

Solution:

The equivalent spring constant for spring in series of spring constant k N/m will be:

K + K+ K+ K = 2

4K = 2

K = 2/4 = 1/2

if the springs of spring constant 1/2 each are connected in parallel then the spring constant will be:

1/(1/2) + 1/(1/2) +1/(1/2) +1/(1/2)

2 + 2+ 2+ 2= 8 N/m

Therefore the equivalent resistance when the springs are connected in parallel will be 8 N/m, thus the correct option is 3.