Identify the correct statement among the foll | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L}{g}}$.For a given angular amplitude $	heta_0$,the maximum velocity $v_{m

Vedclass · Accepted Answer

The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum.

Vedclass · Answer

(D) The time period of a simple pendulum is given by $T = 2\pi \sqrt{\frac{L}{g}}$.For a given angular amplitude $	heta_0$,the maximum velocity $v_{max}$ is given by $v_{max} = \omega A = \sqrt{\frac{g}{L}} \cdot (L 	heta_0) = 	heta_0 \sqrt{gL}$.As the length $L$ increases,the maximum velocity $v_{max}$ increases,not decreases. Thus,$(c)$ is incorrect.Option $(a)$ is incorrect because the frequency $f = \frac{1}{2\pi} \sqrt{\frac{g}{L}}$ is independent of mass.Option $(b)$ is incorrect because the tension at any angle $	heta$ is $T = Mg \cos 	heta + \frac{Mv^2}{L}$. Since $\frac{Mv^2}{L} > 0$,the tension is always greater than $Mg \cos 	heta$.Option $(d)$ is correct. The time period is $T = 2\pi \sqrt{\frac{L}{g}}$. Taking logs and differentiating,$\frac{\Delta T}{T} = \frac{1}{2} \frac{\Delta L}{L} = \frac{1}{2} \alpha \Delta 	heta$. This is independent of the length $L$.

Identify the correct statement among the following.

Similar Questions

The time period of a simple pendulum inside a stationary lift is $T$. When the lift starts accelerating upwards with an acceleration of $\frac{g}{3}$,the time period of the pendulum will be

$A$ simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum,its acceleration vector $\vec a$ is correctly shown in

$A$ simple pendulum is made of a body which is a hollow sphere containing mercury, suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

If the speed $v$ of the bob in a simple pendulum is plotted against the tangential acceleration $a$,the correct graph will be represented by

$A$ hollow pendulum bob filled with water has a small hole at the bottom through which water escapes at a constant rate. Which of the following statements describes the variation of the time period $T$ of the pendulum as the water flows out?

Vedclass Test Series

Exam Paper Generator

Online Exam Module