Question 117: Units , Dimensions and Error Analysis

Question

Match List I with List II

List-I

List-II

A.
Planck's constant (h)
I.
$$\mathrm{[{M^1}\,{L^2}\,{T^{ - 2}}]}$$

B.
Stopping potential (Vs)
II.
$$\mathrm{[{M^1}\,{L^1}\,{T^{ - 1}}]}$$

C.
Work function ($$\phi$$)
III.
$$\mathrm{[{M^1}\,{L^2}\,{T^{ - 1}}]}$$

D.
Momentum (p)
IV.
$$\mathrm{[{M^1}\,{L^2}\,{T^{ - 3}}\,{A^{ - 1}}]}$$

Choose the correct answer from the options given below :

Accepted Answer

(A) Planck's constant
$$
\begin{aligned}
& \mathrm{h} v=\mathrm{E} \\
& \mathrm{h}=\frac{\mathrm{E}}{v}=\frac{\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}}{\mathrm{~T}^{-1}}=\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-1} \quad...(	ext{III})
\end{aligned}
$$
(B) $\mathrm{E}=\mathrm{qV}$
$$
V=\frac{E}{q}=\frac{M^1 L^2 T^{-2}}{A^1 T^1}=M^1 L^2 T^{-3} A^{-1} 	ext { (IV) }
$$
(C) $\phi($ work function $)=$ energy
$$
=\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2} \quad....(	ext{I})
$$
(D) Momentum (p) = F.t
$$
\begin{aligned}
& =\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~T}^1 \\
& =\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-1} \quad....(	ext{II})
\end{aligned}
$$

Answer

A-I, B-III, C-IV, D-II

Answer

A-III, B-IV, C-I, D-II

Answer

A-II, B-IV, C-III, D-I

Answer

A-III, B-I, C-II, D-IV

Units , Dimensions and Error Analysis

Choose the correct answer: