Double
Explanation:
Since the period T of a pendulum is given by
By increasing the length of the pendulum by 4, the period becomes
You can see that the period doubles when we increase the length by a factor of 4.
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Answer:
Explanation:
The spring mass equation for the damped oscillation will be,
Here, -bv is the damping term used in this b is damping constant, k is spring constant, x is elongation in the spring, F is the force.
Therefore the differential equation for the damped harmonic oscillator is,
Answer:
The focal length for given convex lens = 0.0714 m
Explanation:
Given data
Radius () = 12.5 cm
Radius () = 16.7 cm
Since the radius of curvature is positive so these are the convex lens.
Now focal length is given by
⇒ = +
⇒ Put the values of and in the above formula we get,
⇒ = +
⇒ = 0.13988
⇒ f =
⇒ f = 7.14 cm
⇒ f = 0.0714 m
Thus the focal length for given convex lens = 0.0714 m