A neutron having mass of 1.67 ×10^-27 kg and moving at 10^8 m / s collides with a deuteron at

step 1 Here we have given a neutron having mass mass of Neutron is 1 .67 into 10 to the power minus 97

A neutron having mass of 1.67 ×10^-27 kg and moving at 10^8...

A neutron having mass of $1.67 \times 10^{-27} \mathrm{~kg}$ and moving at $10^{8} \mathrm{~m} / \mathrm{s}$ collides with a deuteron at rest and sticks to it. If the mass of the deuteron is $3.34 \times 10^{-27} \mathrm{~kg}$ then the speed of the combination is (A) $3.33 \times 10^{7} \mathrm{~m} / \mathrm{s}$ (B) $3 \times 10^{5} \mathrm{~m} / \mathrm{s}$ (C) $33.3 \times 10^{7} \mathrm{~m} / \mathrm{s}$ (D) $2.98 \times 10^{5} \mathrm{~m} / \mathrm{s}$

A neutron having mass of $1.67 \times 10^{-27} \mathrm{~kg}$ and moving at $10^{8} \mathrm{~m} / \mathrm{s}$ collides with a deuteron at rest and sticks to it. If the mass of the deuteron is $3.34 \times 10^{-27} \mathrm{~kg}$ then the speed of the combination is
(A) $3.33 \times 10^{7} \mathrm{~m} / \mathrm{s}$
(B) $3 \times 10^{5} \mathrm{~m} / \mathrm{s}$
(C) $33.3 \times 10^{7} \mathrm{~m} / \mathrm{s}$
(D) $2.98 \times 10^{5} \mathrm{~m} / \mathrm{s}$

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Key Concepts

Conservation of Linear Momentum

This principle states that in a closed system with no external forces, the total momentum before an event, such as a collision, is equal to the total momentum after the event. It is a fundamental concept in mechanics used to analyze collisions and interactions between bodies by ensuring that the vector sum of momenta remains constant throughout the process.

Inelastic Collision

An inelastic collision is a type of collision in which the colliding objects stick together after impact, resulting in a combined mass that moves with a common velocity. In such collisions, while momentum is conserved, kinetic energy is not conserved, making this concept crucial for solving problems where the objects merge post-collision.

Application of Momentum Conservation to Determine Velocity

When two objects collide and stick together, their final speed can be determined by setting the total initial momentum equal to the total final momentum (the combined mass multiplied by the final velocity). This application of the momentum conservation principle reduces the problem to a straightforward calculation, allowing one to find the common speed of the composite system after collision.

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