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Atoms and Nuclei question

2021 · Shift 2 · Q43

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JEE Advanced
Physics
Atoms and Nuclei
2021 · Shift 2 · Q43

Atoms and Nuclei question

2021 · Shift 2 · Q43

JEE AdvancedPhysicsAtoms and NucleiMultiple correct+4 / −2

A heavy nucleus N, at rest, undergoes fission N

\to

P + Q, where P and Q are two lighter nuclei. Let

\delta

= MN

-

MP

-

MQ, where MP, MQ and MN are the masses of P, Q and N, respectively. EP and EQ are the kinetic energies of P and Q, respectively. The speeds of P and Q are vP and vQ, respectively. If c is the speed of light, which of the following statement(s) is(are) correct?

A
${E_P} + {E_Q} = {c^2}\delta$
B
${E_P} = \left( {{{{M_P}} \over {{M_P} + {M_Q}}}} \right){c^2}\delta$
C
${{{v_P}} \over {{v_Q}}} = {{{M_Q}} \over {{M_P}}}$
D
The magnitude of momentum for P as well Q is $c\sqrt {2\mu \delta }$ , where $\mu = {{{M_P}{M_Q}} \over {({M_P} + {M_Q})}}$

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