Consider earth to be a sphere of radius R_e rotating about its own axis with angular speed . If g_ E and g_ P are the accelerations due to gravity at the equator and the poles respectively, then (g_ P -g_ E ) is given by [ (0^ )= ( 2 )=1, (

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Consider earth to be a sphere of radius R_e rotating about its own axis with angular speed . If g_ E and g_ P are the accelerations due to gravity at the equator and the poles respectively, then (g_ P -g_ E ) is given by [ (0^ )= ( 2 )=1, (0^ )= ( 2 )=0 ]

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Correct answer: B. R_ E ^2

Acceleration due to gravity at a place of latitude due to the rotation of earth is g^ =g- R _ E ^2 ( ^2 ) At equator, =0^ , 0^ =1 g_E=g- R _ E ^2 At poles, =90^ , ( )=0 aligned & g^ =g_ P =g & g_ P -g_ E =g- (g-R_E ^2 )=R_E ^2 aligned

Consider earth to be a sphere of radius R_e rotating about its own axis with angular speed . If g_ E and g_ P are the accelerations due to gravity at the equator and the poles respectively, then (g_ P -g_ E ) is given by [ (0^ )= ( 2 )=1, (0^ )= ( 2 )=0 ]

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