A bomb of mass M at rest explodes into two fragments of masses m1 and m2. The total energy released in the explosion is E. If E1 and E2 represent the energies carried by masses m1 and m2 respectively, then which of the following is correct?

Question

A bomb of mass M at rest explodes into two fragments of masses m1 and m2. The total energy released in the explosion is E. If E1 and E2 represent the energies carried by masses m1 and m2 respectively, then which of the following is correct? (A) E1=(m2/M) E (B) E1=(m1/m2) E (C) E1=(m1/M) E (D) E1=(m2/m1) E

Tardigrade Admin · Accepted Answer

Conserving momentum for the exploding bomb, 0=p1+p2 ⇒ p1 =-p2 or p12=p22 E1=(p12/2 m1) and E2=(p22/2 m2) ⇒ 2 m1 E1=2 m2 E2 m1 E1=m2 E2 ; (E2/E1)=(m1/m2) ; (E2/E1)+1=(m1/m2)+1 (E2+E1/E1)=(m1+m2/m2) ⇒ (E/E1)=(M/m2) or E1=(m2 E/M)

Q. A bomb of mass $M$ at rest explodes into two fragments of masses $m_{1}$ and $m_{2}$ . The total energy released in the explosion is $E$ . If $E_{1}$ and $E_{2}$ represent the energies carried by masses $m_{1}$ and $m_{2}$ respectively, then which of the following is correct?

$E_{1} = \frac{m _{2}}{M} E$

$E_{1} = \frac{m _{1}}{m _{2}} E$

$E_{1} = \frac{m _{1}}{M} E$

$E_{1} = \frac{m _{2}}{m _{1}} E$

Q. A bomb of mass M at rest explodes into two fragments of masses m1​ and m2​. The total energy released in the explosion is E. If E1​ and E2​ represent the energies carried by masses m1​ and m2​ respectively, then which of the following is correct?

E1​=Mm2​​E

E1​=m2​m1​​E

E1​=Mm1​​E

E1​=m1​m2​​E

Q. A bomb of mass $M$ at rest explodes into two fragments of masses $m_{1}$ and $m_{2}$ . The total energy released in the explosion is $E$ . If $E_{1}$ and $E_{2}$ represent the energies carried by masses $m_{1}$ and $m_{2}$ respectively, then which of the following is correct?

$E_{1} = \frac{m _{2}}{M} E$

$E_{1} = \frac{m _{1}}{m _{2}} E$

$E_{1} = \frac{m _{1}}{M} E$

$E_{1} = \frac{m _{2}}{m _{1}} E$