Given below are two statements:Statement I: R | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The effective acceleration due to gravity $g'$ at a latitude $\lambda$ is given by $g' = g - R\omega^2 \cos^2 \lambda$.Statement $I$ is true becau

Vedclass · Accepted Answer

Statement $I$ is true but Statement $II$ is false.

Vedclass · Answer

(B) The effective acceleration due to gravity $g'$ at a latitude $\lambda$ is given by $g' = g - R\omega^2 \cos^2 \lambda$.Statement $I$ is true because the rotation of the earth introduces a centrifugal force,which modifies the effective acceleration due to gravity.Statement $II$ is false. At the poles,$\lambda = 90^{\circ}$,so $\cos 90^{\circ} = 0$,meaning the effect is zero (minimum). At the equator,$\lambda = 0^{\circ}$,so $\cos 0^{\circ} = 1$,meaning the effect is $R\omega^2$,which is the maximum reduction in $g$.Therefore,Statement $I$ is true and Statement $II$ is false.

Similar Questions

$A$ point mass of $10 \,kg$ is placed at the centre of the Earth. The weight of the point mass is

If the radius of earth shrinks by $2 \%$ while its mass remains the same,the acceleration due to gravity on the earth's surface will approximately:

$A$ body has a weight of $90 \ kgf$ on the earth's surface. The mass of the moon is $1/9$ of the earth's mass and its radius is $1/2$ of the earth's radius. On the moon,the weight of the body is .......... $kgf$.

The approximate height from the surface of earth at which the weight of the body becomes $\frac{1}{3}$ of its weight on the surface of earth is $.......... \, km$ : [Radius of earth $R = 6400 \, km$ and $\sqrt{3} = 1.732$]

The height $h$ at which the weight of a body will be the same as that at the same depth $h$ from the surface of the earth is (Radius of the earth is $R$ and effect of the rotation of the earth is neglected):

Vedclass Test Series

Exam Paper Generator

Online Exam Module