Home
Class 12
PHYSICS
A pendulum clock, which keeps correct ti...

A pendulum clock, which keeps correct time at sea level, loses `15s` per day when taken to the top of a mountain. If the radius of the earth is `6400km`, the height of the mountain is

Text Solution

Verified by Experts

`(T_(1))/(T_(2))=sqrt((g_(2))/(g_(1)))` but `g=(GM)/((R+h)^(2))`
`(g_(1))/(g_(2))=((R+h)/(R ))^(2)implies(T_(2))/(T_(1))=1+h//R`
`h=(T_(2)-T_(1))/(T_(1))xxR=(30xx6400)/(24xx3600)=2.2km`
`:.mu=2`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    FIITJEE|Exercise Matrix match type|2 Videos

  • GRAVITATION

    FIITJEE|Exercise Exercise|11 Videos

  • GRAVITATION

    FIITJEE|Exercise Assertion & Reasoning type|1 Videos

  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos

  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos

Similar Questions

Explore conceptually related problems

A pendulum clock which keeps correct time at the surface of the earth is taken into a mine, then

Will a pendulum clock lose or gain time when taken to the top of a mountain?

A pendulum clock keeping correct time is taken to high altitudes

A simple pendulam loses 50 s when taken to the top of a hill. Find the height of the hill. Radiius of earth = 6400 km.

A simple pendulam loses 50 s in a day when taken to the bottom of a mine. Find the depth of the moine. (Radius of the earth=6400 km)

A pendulum clock, keeps correct time at sea level, when taken to a place 1km below sea level, the clock loses or gain per day will be

A pendulum clock thast keeps correct time on the earth is taken to the moon. It will run

If a pendulum clock, keeps correct time at sea level is taken to a place 16 km below sea level, the clock will approximately

If a pendulum clock keepds correct time at sea level is taken to a place 1 km above sea level the clock will approximately

Find the percentage decrease in the weight of the body when taken to a depth of 32 km below the surface of earth. Radius of the earth is 6400 km .

Knowledge Check

  • A pendulum clock which keeps correct time at the surface of the earth is taken into a mine, then

    A
    it keeps correct time
    B
    it gains time
    C
    it loses time
    D
    none ot these

  • A pendulum clock, keeps correct time at sea level, when taken to a place 1km below sea level, the clock loses or gain per day will be

    A
    gains 13.5 s
    B
    loses 13.5 s
    C
    loses 7 s
    D
    gains 7 s

  • If a pendulum clock, keeps correct time at sea level is taken to a place 16 km below sea level, the clock will approximately

    A
    gains 13.5 s/day
    B
    loses 13.5 s/day
    C
    loses 108 s/day
    D
    gains 7 s/day