A) K
B) more than K
C) less than K
D) \[\sqrt{K}\]
Correct Answer: C
Solution :
: Recoil velocity of the gun, \[\upsilon =-\frac{mu}{M}\] ?..(i) - ve sign shows that recoil of the gun Where m is the mass of the bullet, M is the mass of the gun and u is the velocity of bullet. \[\therefore \] Kinetic energy of the bullet, \[K=\frac{1}{2}m{{u}^{2}}\] Kinetic energy of the gun while recoiling, \[K=\frac{1}{2}M{{u}^{2}}\] \[\therefore \] \[\frac{K}{K}=\frac{M}{m}\left( \frac{{{\upsilon }^{2}}}{{{u}^{2}}} \right)=\frac{M}{m}{{\left( \frac{m}{M} \right)}^{2}}=\frac{m}{M}\] (Using (i)) As \[m<<M\]\[\therefore \] \[K<K\]
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