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'

Answer 1

'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)`