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Physics

Assertion (A): A spring has potential energy in both cases whether it is compressed or stretched.

Reason (R): This is because work is done on the spring against the restoring force.

  1. both A and R are true and R is the correct explanation of A
  2. both A and R are false and R is not the correct explanation of A
  3. assertion is false but reason is true
  4. assertion is true but reason is false

Work, Energy & Power

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Answer

both A and R are true and R is the correct explanation of A.

Explanation

Assertion (A) is true because when a spring is either compressed or stretched from its natural length, energy is stored in it as elastic potential energy due to the change in its shape.

Reason (R) is true because to compress or stretch a spring, an external force must do work against the restoring force of the spring and this work gets stored in the spring as potential energy.

The reason justifies the assertion because when a spring is compressed or stretched, work is done against its restoring force which gets stored in the spring as elastic potential energy, so the spring has potential energy in both cases.

Hence, both A and R are true and R is the correct explanation of A.

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