Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceEasy2 minPYQ_2020
PhysicsEasysingle choice

In an experiment, a boy plots a graph betweenvmax2andamax2for a simple pendulum for different values of (small) amplitudes, wherevmaxandamaxis the maximum velocity and the maximum acceleration respectively. He found the graph to be a straight line with a negative slope, making an angle of30°when the experiment was conducted on the earth surface. When the same experiment was conducted at a heighthabove the surface, the line was at an angle of60°. The value ofhis [radius of the earth =R]

Options:

Answer:
C
Solution:

For a simple pendulum,

ω=gl

vmax=Aω

amax=-Aω2

vmaxamax2=1ω2=tanθ

ω=gl=1tan θ

∴   g=ltan θ

∴   gsurfacegheight=tan60°tan30°=R+h2R2

h=0.73R

Subject:PhysicsTopic:GravitationSubtopic:Field & Force
2mℹ️ Source: PYQ_2020

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