jee-main 2025 Q1

jee-main · India · session2_08apr_shift2 Not Maths
Q1. The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $h / \sqrt { 2 m E }$. The dimensional formula for Planck's constant is :
(1) $\left[ \mathrm { ML } ^ { 2 } \mathrm {~T} ^ { - 1 } \right]$
(2) $\left[ \mathrm { ML } ^ { - 1 } \mathrm {~T} ^ { - 2 } \right]$
(3) $\left[ \mathrm { MLT } ^ { - 2 } \right]$
(4) $\left[ \mathrm { M } ^ { 2 } \mathrm {~L} ^ { 2 } \mathrm {~T} ^ { - 2 } \right]$
Q1. The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $h / \sqrt { 2 m E }$. The dimensional formula for Planck's constant is :\\
(1) $\left[ \mathrm { ML } ^ { 2 } \mathrm {~T} ^ { - 1 } \right]$\\
(2) $\left[ \mathrm { ML } ^ { - 1 } \mathrm {~T} ^ { - 2 } \right]$\\
(3) $\left[ \mathrm { MLT } ^ { - 2 } \right]$\\
(4) $\left[ \mathrm { M } ^ { 2 } \mathrm {~L} ^ { 2 } \mathrm {~T} ^ { - 2 } \right]$