In the equation of angular displacement of a particle moving on a circular path is given as is in radian and t in second. Theq angular velocity of the particle at t = 2 s is

alok kumar singh

If an object is having same weight at same distance above and below the surface of earth, find its distance from surface of earth.

alok kumar singh

$\frac{G M m}{{(R + x)}^{2}} = \frac{G M m (R - x)}{R^{3}}$

->R³ = (R + x)² (R – x)

->R³ = (R²– x²) (R + x)

->x² + Rx – R² = 0

$x = \frac{- R \pm \sqrt[]{R + 4 R^{2}}}{2}$

$x = \frac{(\sqrt[]{5 R} - 1)}{2} R$

Two bodies of mass $m$ and $9 m$ are placed at a distance $R$ . The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ( $G =$ gravitational constant):

alok kumar singh

Stress $= \frac{F}{A} = \frac{T}{A} = \frac{W}{A}$

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : The escape velocities of planet Ad and B are same. But A and B are of unequal mass.

Reason R : The product of their mass and radius must be same. M₁ R₁ = M₂R₂

In the light of the above statements, choose the most appropriate answer from the options given below:

Vishal Baghel

${(v_{e})}_{A} = {(v_{e})}_{B} \Rightarrow \frac{M_{1}}{R_{1}} = \frac{M_{2}}{R_{2}}$

R is not correct.

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