Direction for: In each of the following questions a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements mark the correct answer as
Assertion: The periodic time of hard spring is less as compared to that of a soft string. Reason: The periodic time depends upon the spring constant.A) If both assertion and reason are true and reason is the correct explanation of assertion
B) If both assertion and reason are true but reason is not the correct explanation of assertion
C) If assertion is true but reason is false
D) If both assertion and reason are false
Correct Answer: B
Solution :
From the relation\[T=2\pi \sqrt{\frac{m}{k}},\] m where k is the spring constant. \[\Rightarrow \] \[T\propto \frac{1}{\sqrt{k}}\] ?(i) As we know that the spring constant of hard spring is large in comparison to that of soft spring, therefore from Eq. (i) the time period will be less for hard spring in comparison to that of soft spring.
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