Question 161: Units , Dimensions and Error Analysis

Question

Match List - I with List - II :

List I

List II

(a)
h (Planck's constant)
(i)
$$[ML{T^{ - 1}}]$$

(b)
E (kinetic energy)
(ii)
$$[M{L^2}{T^{ - 1}}]$$

(c)
V (electric potential)
(iii)
$$[M{L^2}{T^{ - 2}}]$$

(d)
P (linear momentum)
(iv)
$$[M{L^2}{I^{ - 1}}{T^{ - 3}}]$$

Choose the correct answer from the options given below :

Accepted Answer

Kinetic Energy,
$${1 \over 2}m{v^2} = [M{L^2}{T^{ - 2}}]$$
Momentum,
$$mv = [ML{T^{ - 1}}]$$
Plank constant :
$$E = h\gamma $$
$$ \Rightarrow M{L^2}{T^{ - 2}} = h 	imes {1 \over T}$$
$$ \Rightarrow h = [M{L^2}{T^{ - 1}}]$$
Also, $$E = qV$$
$$ \Rightarrow V = {{[M{L^2}{T^{ - 2}}]} \over {[C]}} = [M{L^2}{T^{ - 2}}{C^{ - 1}}]$$

Answer

(a) $$ 	o $$ (ii), (b) $$ 	o $$ (iii), (c) $$ 	o $$ (iv), (d) $$ 	o $$ (i)

Answer

(a) $$ 	o $$ (i), (b) $$ 	o $$ (ii), (c) $$ 	o $$ (iv), (d) $$ 	o $$ (iii)

Answer

(a) $$ 	o $$ (iii), (b) $$ 	o $$ (ii), (c) $$ 	o $$ (iv), (d) $$ 	o $$ (i)

Answer

(a) $$ 	o $$ (iii), (b) $$ 	o $$ (iv), (c) $$ 	o $$ (ii), (d) $$ 	o $$ (i)

Units , Dimensions and Error Analysis

Choose the correct answer: