Advertisements
Advertisements
Question
A clock 'S' is working on oscillations of a spring and a clock 'P' is working on pendulum motion. Both clocks are running at the same rate on earth. What will happen to their functioning on a planet which has the same density as that of earth, but the radius is twice that of earth?
Options
P will run faster than S
both will run at the same rate, but not the same as on earth
both will run at the same rate as on the earth
'S' will run faster than 'P'
MCQ
Solution
'S' will run faster than 'P'
Explanation:
g = `"GM"/"R"^2 = ("G"4/3pi"R"^3rho)/"R"^2 prop "R"`
T = `2pi sqrt(l/"g") prop 1/sqrt"R"`
`"T"_("P"_1)/"T"_("P"_2) = sqrt("2R"/"R") = sqrt2 ..."T"_("P"_1) > "T"_("P"_2)`
`"T"_("S"_1)/"T"_("S"_2) = sqrt("k"_2/"k"_1) = 1 .."T"_("S"_1) > "T"_("S"_2)`
shaalaa.com
Variation in the Acceleration Due to Gravity with Altitude, Depth, Latitude and Shape
Is there an error in this question or solution?
