In a new system (say TK system) of measurement, the fundamental quantities length, mass and time are measured in Akshay, Shahrukh and Aamir respectively. 1 Akshay = 1 km 1 Shahrukh = 1 Quintal (100 kg

Question

In a new system (say TK system) of measurement, the fundamental quantities length, mass and time are measured in Akshay, Shahrukh and Aamir respectively.

1 Akshay = 1 km
1 Shahrukh = 1 Quintal (100 kg)
1 Aamir = 1 minute

List - I	List - II
(I) $\frac{5}{18} \times 1 0^{- 4}$ SI units	(P) One unit of acceleration in TK system.
(II) $\frac{5}{18} \times 1 0^{0}$ MKS unit	(Q) One unit of force in TK system.
(III) $\frac{5}{18} \times 1 0^{2}$ MKS unit	(R) One unit of kinetic energy in TK system
(IV) $\frac{5}{18} \times 1 0^{5}$ SI unit	(S) One unit of pressure in TK system
	(T) One unit of work in TK system

TestHub · Accepted Answer

1 Akshay = 1000 m, 1 Shahrukh = 100 kg, 1 Aamir = 60 s. Note $1000/3600 = 5/18$ .

Acceleration: $A k s ha y / A ami r^{2} = (5/18) \times 1 0^{0}$ SI - II -> P. Force: $S hah r u kh \times A k s ha y / A ami r^{2}$

$= (5/18) \times 1 0^{2}$ SI - III -> Q.

Energy (KE or work): $S hah r u kh \times (A k s ha y / A ami r)^{2}$

$= (5/18) \times 1 0^{5}$ SI - IV -> R, T. Pressure: $f orce / a re a = (5/18) \times 1 0^{- 4}$ SI - I -> S.

Correct option: (C)

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