JEE Main20249 Apr 2024Evening ShiftPhysicsUnits and DimensionsActual
The de-Broglie wavelength associated with a particle of mass m and energy E is h / 2 m E . The dimensional formula for Planck's constant is :
Options
- A[ ML ^2 ~T ⁻¹ ]
- B[ ML ⁻¹ ~T ⁻² ]
- C[ MLT ⁻² ]
- D[ M ^2 ~L ^2 ~T ⁻² ]
Correct answer
A. [ ML ^2 ~T ⁻¹ ]
Step-by-step solution
aligned & = h 2 mE or E = h & [ ML ^2 ~T ⁻² ]= h [ T ⁻¹ ] & h = [ ML ^2 ~T ⁻¹ ] aligned