P}}{{v}^{q}}{{h}^{k}}\]. The DIMENSIONS of right-hand rule and left-hand SIDE terms should be equal. So \[[{{M}^{0}}L{{T}^{0}}]={{[M]}^{p}}{{[L{{T}^{-1}}]}^{q}}{{[M{{L}^{2}}{{T}^{-1}}]}^{r}}\] Or \[[{{M}^{0}}L{{T}^{0}}]=[{{M}^{p+r}}][{{L}^{q+2r}}][{{T}^{-q-r}}]\] Now , compare powers of M, L and T, we GET p+r=0                          ...(i) q+2r=1            ...(ii) -q-r=0                           ...(iii) After solving p=-1, q=-1 and r=1 putting these VALUES, we get

"> P}}{{v}^{q}}{{h}^{k}}\]. The DIMENSIONS of right-hand rule and left-hand SIDE terms should be equal. So \[[{{M}^{0}}L{{T}^{0}}]={{[M]}^{p}}{{[L{{T}^{-1}}]}^{q}}{{[M{{L}^{2}}{{T}^{-1}}]}^{r}}\] Or \[[{{M}^{0}}L{{T}^{0}}]=[{{M}^{p+r}}][{{L}^{q+2r}}][{{T}^{-q-r}}]\] Now , compare powers of M, L and T, we GET p+r=0                          ...(i) q+2r=1            ...(ii) -q-r=0                           ...(iii) After solving p=-1, q=-1 and r=1 putting these VALUES, we get

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The wavelength associated with a moving particle depends upon \[{{p}^{th}}\]power of its mass m, \[{{q}^{th}}\]power of its velocity v and \[{{r}^{th}}\] power of Planck's constant h. Then the sum of values of \[p\], q and r is -K. Find the value of K7.

Joint Entrance Exam - Main (JEE Main) Physics in Joint Entrance Exam - Main (JEE Main) . 9 months ago

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[1] Given \[\lambda =k{{m}^{P}}{{v}^{q}}{{h}^{k}}\]. The DIMENSIONS of right-hand rule and left-hand SIDE terms should be equal. So \[[{{M}^{0}}L{{T}^{0}}]={{[M]}^{p}}{{[L{{T}^{-1}}]}^{q}}{{[M{{L}^{2}}{{T}^{-1}}]}^{r}}\] Or \[[{{M}^{0}}L{{T}^{0}}]=[{{M}^{p+r}}][{{L}^{q+2r}}][{{T}^{-q-r}}]\] Now , compare powers of M, L and T, we GET p+r=0                          ...(i) q+2r=1            ...(ii) -q-r=0                           ...(iii) After solving p=-1, q=-1 and r=1 putting these VALUES, we get

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Posted on 25 Aug 2024, this text provides information on Joint Entrance Exam - Main (JEE Main) related to Physics in Joint Entrance Exam - Main (JEE Main). Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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