JEE PYQ: Units And Dimensions Question 13
Question 13 - 2020 (08 Jan Shift 1)
The dimension of stopping potential $V_0$ in photoelectric effect in units of Planck’s constant ‘$h$’, speed of light ‘$c$’ and Gravitational constant ‘$G$’ and ampere $A$ is:
(1) $h^{1/3} G^{2/3} c^{1/3} A^{-1}$
(2) $h^{2/3} c^{5/3} G^{1/3} A^{-1}$
(3) $h^{-2/3} c^{-1/3} G^{4/3} A^{-1}$
(4) None of these
Show Answer
Answer: (4)
Solution
Stopping potential $V_0 \propto h^x I^y G^z C^r$. Comparing dimensions of M, L, T, A: $y = -1, x = 0, z = -1, r = 5$. So $V_0 \propto h^0 I^{-1} G^{-1} C^5$, which matches none of the given options.
BETA
