TG EAPCET 2024 (Online) 11th May Morning Shift | Gravitation Question 2 | Physics

An object of mass $m$ at a distance of $20 R$ from the centre of a planet of mass $M$ and radius $R$ has an initity velocity $u$. The velocity with which the object hits the surface of the planet is

( $G$-Universal gravitational constant)

$\left[u^{2}+\frac{19 G M}{10 R}\right]^{\frac{1}{2}}$

$\left[u^{2}+\frac{19 G m}{10 R}\right]^{\frac{1}{2}}$

$\left[u^{2}-\frac{19 G M}{10 R}\right]^{\frac{1}{2}}$

$\left[u^{2}-\frac{19 G m}{10 R}\right]^{\frac{1}{2}}$

TG EAPCET 2024 (Online) 10th May Evening Shift

MCQ (Single Correct Answer)

-0

The ratio of the radii of a planet and the earth is $1: 2$, the ratio of their mean densities is $4: 1$. If the acceleration due to gravity on the surface of the earth is $9.8 \mathrm{~ms}^{-2}$, then the acceleration due to gravity on the surface of the planet is

$4.9 \mathrm{~ms}^{-2}$

$29.4 \mathrm{~ms}^{-2}$

$8.9 \mathrm{~ms}^{-2}$

$19.6 \mathrm{~ms}^{-2}$

TG EAPCET 2024 (Online) 10th May Morning Shift

MCQ (Single Correct Answer)

-0

Two stars of masses $M$ and $2 M$ that are at a distance $d$ apart, are revolving one around another. The angular velocity of the system of two stars is ( $G$-Universal gravitational constant)

$\sqrt{\frac{4 G M}{d^3}}$

$\sqrt{\frac{2 G M}{d^3}}$

$\sqrt{\frac{9 G M}{d^3}}$

$\sqrt{\frac{3 G M}{d^3}}$

TG EAPCET 2024 (Online) 9th May Evening Shift

MCQ (Single Correct Answer)

-0

The ratio of the accelerations due to gravity at heights 1280 km and 3200 km above the surface of the earth is (Radius of the earth $=6400 \mathrm{~km}$ )

$25: 16$

$5: 2$

$1: 1$

$25: 4$

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