The wavelength associated with a moving particle depends up on pth power of its mass m, qth power of its velocity v and rth power of Planck's constant h. Then the correct set of values of p, q and r is

Question

Infinity Learn · Accepted Answer

Given λ$$=kmpvqhkThe$$ dimensions of $$right-hand$$ rule and $$left-hand$$ side terms should be equal. So  $$M0LT0=$$[M]pLT−$$1qML2T$$−$$1r$$ or  $$M0LT0=Mp+rLq+2rT$$−q−rNow, compare powers of M, L and T, we $$getp+r=0$$      ......(i)q+2r=1$$    .......$$(ii)−q−$$r=0$$    .......$$(iii)After$$ solving $$p=$$ $$-1$$, q $$=$$ $$-1$$ and $$r=1$$ putting these values, we getλ$$=khmv$$ which is the required relation.

The wavelength associated with a moving particle depends up on 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 correct set of values of p, q and r is

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