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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Derive a formula for the length of second's pendulum. - Physics

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प्रश्न

Derive a formula for the length of second's pendulum.

थोडक्यात उत्तर
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उत्तर

∴ For second's pendulum,

`2 = 2pi sqrt("L"_"s"/"g")`

Where Ls is the length of seconds pendulum having period

T = 2s

∴ `"L"_"s" = "g"/"p"^2`

This is a formula for the length of second's pendulum.

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Simple Pendulum
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2021-2022 (March) Set 1

संबंधित प्रश्‍न

Obtain the expression for the period of a simple pendulum performing S.H.M.


Answer in brief.

State the law of simple pendulum.


A simple pendulum of length 100 cm performs S.H.M. Find the restoring force acting on its bob of mass 50 g when the displacement from the mean position is 3 cm.


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What is a second pendulum?   


Obtain an expression for a time period of the simple pendulum.


A simple pendulum of length I has a bob of mass m. It executes SHM of small amplitude A. The maximum tension in the string is (g = acceleration due to gravity)


The length of a simple pendulum is increased by 44%. The percentage change in its time period is ______.


A bob of a simple pendulum has mass m and is oscillating with an amplitude a. If the length of the pendulum is L, then the maximum tension in the string is [cos 0° = 1, g = acceleration due to gravity]


Two light balls are suspended as shown in figure. When a stream of air passes through the space between them, the distance between the balls will ______.


The period of simple pendulum is measured as T in a stationary lift. If the lift moves upward with an acceleration of 5 g, the period will ____________.


If a pendulum which gives correct time beats second on ground at a certain place is moved to the top of a tower 320 m high, then the loss of time of the pendulum clock in one day, in second, is ______.


A person measures a time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration `("g"/3)`, the time period of the pendulum will be ______.


A simple pendulum has length 'L1'. When its amplitude is 'a' cm, its energy is 'E1'. When length is 2L1, its energy is 'E2' Amplitude is same for both the lengths The relation between E1 and E2 is ______.


Two simple pendulums of lengths 1.44 m and 1.96 m start swinging together. After how many vibrations will they again start swinging together?


Define second’s pendulum.


The bob of a simple pendulum performs SHM with period T in air and with period T1 in water Relation between T and T1 is ______.

(neglect friction due to water, density of the material of the bob is = `9/8xx10^3` kgm3, density of water = 1 gcc-1


The ratio of frequencies of two oscillating pendulums is 3 : 2. Their lengths are in the ratio.


A pendulum bob is swinging in a vertical plane, such that its angular amplitude is less than 90°. At its highest point, the string is cut. Which trajectory is possible for bob afterwards?


Two weights w1 and w2 are suspended from the ends of light string over a smooth fixed pulley. If the pulley is pulled up with acceleration g, the tension in the string will be ______.


A uniform metal rod is used as a bar pendulum. If the room temperature rises by 10°C and coefficient of linear expansion of the metal of the rod is 2 × 106 °C-1, the period of pendulum will increased by ______.


A simple pendulum of length 196 cm performs linear SHM of amplitude 8 cm. Find the restoring force on its bob of mass 50 g at an extreme position.


A clock regulated by a second pendulum keeps the correct time. During winter the length of the pendulum decreases by 1 %. How much will the clock gain or lose in one day?


The velocity of bob of a second’s pendulum when it is 6 cm from its mean position and amplitude of 10 cm, is ______.


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