Home
Class 12
PHYSICS
A particle of mass M at rest decay's int...

A particle of mass `M` at rest decay's into two particle of masses `m_(1)` and `m_(2) ` having non zero velocity. The ratio of the de Broglie wavelengths of the masses `lambda _(1) // lambda_(2)` is

A

`m_(1)//m_(2)`

B

`m_(2)//m_(1)`

C

`1.0`

D

` sqrt(m_(1))//sqrt(m_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Appling conservation of linear momentum, intial momentum = final momentum
`0 = M_(1) NU_(1) - M_(2)NU_(2)rArr M_(1) NU_(1) M_(2)NU_(2)`
= `Now , (lambda_(1))/(lambda_(2)) = (h// M_(1) NU_(1))/((h// M_(2) NU_(2)) = 1`
Promotional Banner

Topper's Solved these Questions

  • MODERN PHYSICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQ (One Correct Answer|1 Videos

  • ELECTROSTATICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Comprehension Based Questions|2 Videos

  • MOVING CHARGES AND MAGNETISM

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs(d )|1 Videos

Similar Questions

Explore conceptually related problems

A praticle of mass M at rest decays into two particle of masses m_1 and m_2 , having non-zero velocities. The ratio of the de Broglie wavelength of the particles (lamda_1)/(lamda_2) is

A particle of mass 4m at rest decays into two particles of masses m and 3m having non-zero velocities. The ratio of the de Broglie wavelengths of the particles 1 and 2 is

A partical of mass M at rest decays into two Particles of masses m_1 and m_2 having non-zero velocities. The ratio of the de - Broglie wavelengths of the particles lambda_1| lambda_2 is (a) m_1//m_2 (b) m_2// m_1 (c ) 1 (d) sqrt,_2 // sqrt_1

A particle of a mass M at rest decays into two particles of masses m_1 and m_2 having non-zero velocities. What is the ratio of the de-Broglie wavelength of the two particles?

A particle of mass 3m at rest decays into two particles of masses m and 2m having non-zero velocities. The ratio of the de Broglie wavelengths of the particles ((lamda_1)/(lamda_2)) is

A particle of mass 4m at rest decays into two particles of masses m and 3m having nonzero velocities. The ratio of the de Broglie wavelengths of the particles 1 and 2 is (take h = 6.6 xx 10^(-34) m^2 kg s^-1 )

A particle of mass 25 kg at rest decay into two practicals of messas 12 kg and 13 kg having non zero velocity. The ratio of the de Broglie wavelength of two respectively practicals is

Assertion: A particle of mass M at rest decays into two particles of masses m_(1) and m_(2) , having non-zero velocities will have ratio of the de-broglie wavelength unity. Reason: Here we cannot apply conservation of linear momentum.