Home
Class 11
PHYSICS
Two pendulums differ in lengths by 22 cm...

Two pendulums differ in lengths by 22 cm. They oscillate at the same place so that one of them makes 30 oscillations and the other makes 36 oscillations during the same time. The lengths (in cm) of the pendulums are

A

72 and 50

B

60 and 38

C

50 and 28

D

80 and 58

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1)=2pisqrt((l_(1))/(g))`
`T_(2)=2pisqrt((l_(2))/(g))`
`(t)/(T_(1))=30 (T_(2))/(T_(1))=(5)/(6)`
`(t)/(T_(2))=36 6T_(2)=5T_(1)`
`T_(1)^(2)=(88)/(100)xx(36)/(11)~~(6xxsqrt(2))/(10)=(6sqrt(2))/(5)`
`(6sqrt(2))/(5)=2pi sqrt((l_(1))/(g))`
`(36xx2)/(25)=4xx10xx(l_(1))/(10) Ans. (A)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 87|6 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 88|7 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE ENGLISH|Exercise dpp 85|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise|53 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE ENGLISH|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

Two pendulums differ in lengths by 22m . They oscillate at the same place so that one of then makes 30 oscillations and the other makes 36 oscillations during the same time. The length ( in cm) of the pendulum are :

In a simple pendulum the period of oscillation (T) is related to the length of the pendulum (L) as

Knowledge Check

  • Two pendulums differ in lengths by 22cm . They oscillate at the same place so that one of them makes 30 oscillations and the other makes 36 oscillations during the same time. The length ( in cm) of the pendulum are :

    A
    72 and 50
    B
    60 and 38
    C
    50 and 28
    D
    80 and 58

  • Two pendulums differ in lengths by 22m . They oscillate at the same place so that one of then makes 30 oscillations and the other makes 36 oscillations during the same time. The length ( in cm) of the pendulum are :

    A
    1. 72 and 50
    B
    2. 60 and 38
    C
    3. 50 and 28
    D
    4. 80 and 58

    • Similar Questions

    Explore conceptually related problems

    Two apdulums begin to swing simultaneosuly. The first pendulum makes 9 full oscillations when the other makes 7 . Find the ratio of length of the two pendulums

    Two simple pendulums A and B are made to oscillate simultaneously and it is found that A completes 10 oscillations in 20s and B completed 8 oscillations in 10 s. The ratio of the length of A and B is

    A uniform rod of length l oscillates about an axis passing through its end. Find the oscillation period and the reduced length of this pendulum.

    Two simple pendulum have lengths land ( 25l)/( 16) . At t=0 they are in same phase after how may oscillations of smaller pendulum will they be again in phase for first time ?

    Two simple pendulums A and B have lengths 1.0 m and 4.0 m respectively at a certain place. Which pendulum will make more oscillations in 1 minute ? Explain your answer.

    The curve between square of frequency of oscillation and length of the simple pendulum is

    Home
    Profile