Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2026PhysicsChapterActual

A particle of mass 2m moving with speed v collides completely inelastically with another particle of mass 3m moving in the opposite direction with speed v 2 . If the magnitude of the final velocity of the combined system is v' , what is the ratio v : v' ?

Options

  1. A10 : 7
  2. B5 : 2
  3. C1 : 10
  4. D10 : 1

Correct answer

D. 10 : 1

Step-by-step solution

By the principle of conservation of linear momentum: m₁ v₁ + m₂ v₂ = (m₁ + m₂) v' Taking the direction of the first particle as positive and substituting the given values: (2m)(v) + (3m) (- v 2 ) = (2m + 3m)v' 2mv - 3mv 2 = 5mv' mv 2 = 5mv' v' = v 10 Therefore, the ratio v : v' is 10 : 1 . Answer: 10 : 1

Practice Chapter on Quantrex Academy →

More from Chapter

A solid spherical body of radius R , density , and specific heat capacity s is initially at temperature T₀ . It is placed in a vacuum chamber at absolute zero and cools by emitting 2026A straight canal has motorboats departing from two terminals at opposite ends. The motorboats depart at regular intervals of T minutes in both directions and travel at a constant s 2026A wooden crate is released from rest at the top of a ramp inclined at 37^ to the horizontal. When the ramp is perfectly smooth, the crate reaches the bottom with a speed v . When t 2026A uniform horizontal beam of mass 6 kg and length L is hinged to a vertical wall at one end. The other end is supported by a light inextensible wire attached to the same wall, maki 2026A bullet P of mass 30 g moving with a speed of 200 m/s penetrates a target and comes to rest after travelling a distance of 10 cm inside it. Another bullet Q of mass 20 g moving wi 2026A small block of mass m is placed at the highest point of a smooth fixed sphere of radius R . It is given a horizontal initial speed v₁ such that it slides down the surface. The bl 2026A block of mass 2 kg is projected with an initial speed of 14 m/s on a rough horizontal surface. The coefficient of kinetic friction between the block and the surface is 0.2 . Afte 2026A uniform horizontal circular disc of mass M and radius R is rotating freely about a vertical axis passing through its center at an angular speed of 40 rpm . Two small blocks, each 2026 Full Chapter list All NEET PYQs