1. nu 4), out of which only one is correct. Suppose in a new system of units, fundamental unit of mass, length and time are 100 gm, 20 cm and 2 second respectively, the numerical value of 15 pascal in the new system is 0 240 120 60 O 90
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Answer:
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Given info : a new system of units, fundamental unit of mass, length and time are 100 gm, 20 cm and 2 second respectively.
To find : the numerical value of 15 Pascal in the new system is ...
solution : dimensions of pressure = M¹L¯¹T¯²
so, pressure unit in new system = (100gm)¹ (20cm)¯¹ × (2 sec)¯² = (1/10 kg)/{ (20/100 m) × (2 sec)²}
= (1/10)/(4/5) N/m²
= 1/8 Pascal [ because 1 N/m² = 1 Pascal ]
so, 15 Pascal in new system = 15 Pascal/(1/8 Pascal) = 120
Therefore the numerical value of 15 Pascal in the new system is 120
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