A simple pendulum has a periodic time T_1 whe | vedclass

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

Question

(C) The time period of a simple pendulum is given by $T = 2 \pi \sqrt{\frac{l}{g}}$.On the surface of the Earth,$T_1 = 2 \pi \sqrt{\frac{l}{g}}$,where

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The time period of a simple pendulum is given by $T = 2 \pi \sqrt{\frac{l}{g}}$.On the surface of the Earth,$T_1 = 2 \pi \sqrt{\frac{l}{g}}$,where $g$ is the acceleration due to gravity at the surface.At a height $h = R$ above the Earth's surface,the acceleration due to gravity $g_h$ is given by $g_h = \frac{GM}{(R+h)^2} = \frac{GM}{(R+R)^2} = \frac{GM}{4R^2} = \frac{g}{4}$.The time period at height $h$ is $T_2 = 2 \pi \sqrt{\frac{l}{g_h}}$.Taking the ratio,$\frac{T_2}{T_1} = \sqrt{\frac{g}{g_h}} = \sqrt{\frac{g}{g/4}} = \sqrt{4} = 2$.

$A$ simple pendulum has a periodic time $T_1$ when it is on the surface of the Earth of radius $R$. Its periodic time is $T_2$ when it is taken to a height $R$ above the Earth's surface. The value of $\frac{T_2}{T_1}$ is

Similar Questions

If a copper rod carries a direct current,the magnetic field associated with the current will be

Forelimbs of cat,lizard used in walking; forelimbs of whale used in swimming and forelimbs of bats used in flying are an example of

Which of the following reagents when heated with ethyl chloride,forms ethylene?

Which one of the following is most effective in causing the coagulation of an $As_2S_3$ sol?

If $y=a e^x+b e^{-x}+c$,where $a, b, c$ are parameters,then $y^{\prime \prime \prime}$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module