Home
Class 11
PHYSICS
A small particle of mass m moving inside...

A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is `L = L_0` the particle speed is `v = v_0` The piston is moved inward at a very low speed V such that `V < < (dL)/(L) v_0`, where dL is the infinitesimal displacement of the piston. Which of the following statements(s) is(are) correct?

A

The rate at which the particle strikes the piston is v/L

B

After each collision with the piston , the particle speed increases by 2V .

C

The particles kinetic energy increases by a factor of 4 when the piston is moved inward from `vec(L)_(0) " to" 1/2 L_(0)`

D

If the piston moves inward by dL , the particle speed increases by `2 (dL)/L `.

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Objective Type Questions (D. Multiple Choice Questions)|10 Videos

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Objective Type Questions (Assertion Reason Type Questions)|13 Videos

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Objective Type Questions (JEE (Advanced) for IIT Entrance)|7 Videos

  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

A L Shaped tube containing liquid of density pis accelerated horizontally with acceleration as shown in the figure. The end of tube B is closed while end A is open. If the atmospheric pressure is Po . Then the pressure at B is :

A string of lenth l fixed at one end carries a mass m at the other end. The strings makes (2)/(pi)revs^(-1) around the axis through the fixed end as shown in the figure, the tension in the string is

A tube with both ends closed has same set of natural frequency as

A piston of mass m can move without friction in a uniform closed cylinder at one end. A gas is enclosed in it. For this situation mark the correct statement(s)

A tube 1.5 m long and closed at on end is half filled with mercry and is then inverted with its open ends just dipping into a mercury tough.Find the height of mercury in the tube if the reading of the barometer is 0.75 m.

A string of length L is fixed at one end and carries a mass M at the other end. The string makes 2//pi revolution per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is.