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An object initially at rest explodes int...

An object initially at rest explodes into three fragments `A, B` and `C`. The momentum of `A` is `phati` and that of `B` is `sqrt(3)phatj`
where `p` is `a +ve` number. The momentum of `C` will be

A

`(1+sqrt(3))p` in a direction making angle `120^(@)` with that of `A`

B

`(1+sqrt(3))p` in a direction making angle `150^(@)` with that of `B`

C

`2p` in as direction making angle `150^(@)` with that `A`

D

`2p` in a direction making angle `150^(@)` with that of `B`.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • An object initially at rest explodes into three fragments A,B and C. the momentum of A is p hat i and that of B is sqrt3 p hat j where P is positive number . The momentum of C is

    A
    `(1+sqrt3)P` in a direction making `120^@` with A
    B
    2P in a direction making `150^@` with A
    C
    2P in a direction making `150^@` with B
    D
    `(1+sqrt3)P` in a direction making `150^@` with B

  • An object , initially at rest , explodes into three fragments of equal mass . The momenta of two parts are 2phati and phat j where p is a positive number . The momentum of the third part is

    A
    Will be of the magnitude 3p inclined at `tan ^(-1) (1/2)` with x - axis
    B
    Will be of the magnitude `sqrt(5)p` inclined at `tan^(-1) (2)` with x - axis
    C
    Will be of the magnitude 3p inclined at `pi-tan ^(-1) (1/2)` with x - axis
    D
    Will be of the magnitude `sqrt(5)p` inclined at `pi+tan^(-1) (1/2)` with x - axis

  • An object , initially at rest , explodes in three fragments. The momentum of two pieces are - 3 p hat(i) and -4 p hat(j) where p is a positive number. The momentum of the third piece (i) will have magnitude 5p (ii) will make an angle tan^(-1) (4//3) with the x -axis (iii) will make an angle tan^(-1) (3//4) with the x -axis (iv) will have magnitude 7 p

    A
    `(i) ,(iii)`
    B
    `(i),(ii)`
    C
    `(ii) ,(iv)`
    D
    `(iii),(iv)`
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