question_answer

An asteroid of mass m is approaching earth, initially at a distance of 10 \[\phi \] with speed \[{{\phi }_{0}}\]. It hits the earth with a speed \[\frac{T}{4}\] and \[\frac{T}{8}\], are radius and mass of earth), then

A)  \[\frac{T}{12}\]

B)  \[\frac{T}{2}\]

C)    \[\lambda \]

D)    \[\lambda \]

Correct Answer: C

Solution :

Applying law of conservation of energy for asteroid at a distance \[10\,\,{{R}_{e}}\] and at earths surface, \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\]             ??.(i) Now, \[[M{{L}^{2}}{{T}^{-2}}]\] and \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\] \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\] and \[\frac{pV}{nT}\] Substituting these values in Eq. (i), we get \[{{T}_{1}}>{{T}_{2}}\] \[\frac{pV}{nT}\]  \[t\theta n/(n+1)\] \[t\theta (n-1)/n\] \[t\theta n/(n-1)\] \[t\theta (n+1)/n\]  \[{{R}_{e}}\]