# A gun of mass fires a shell of mass horizontally and the energy of explosion is such as would be sufficient to project the shell vertically to a height  The recoil velocity of the gun is a) b) c) d)

## Question ID - 100194 :- A gun of mass fires a shell of mass horizontally and the energy of explosion is such as would be sufficient to project the shell vertically to a height  The recoil velocity of the gun is a) b) c) d)

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(a)

L  is the energy of explosion, then since it is just sufficient to carry the bullet to a height  so

We have  Now, if  and  are the respective velocities of the bullet and the gun, respectively, then, from the law of conservation of linear momentum,

( i )

Also,

[from Eq. (i)]

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Figure shows a thin metallic triangular sheet  The mass of the sheet is . The moment of inertia of the sheet about side  is

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