If the units of force, velocity and energy are 100 dyne, 10cm/sec and

1.	If the units of force, velocity and energy are 100 dyne, 10cm/sec and 400 ergs respectively, what will be the units of mass, length and time?
Answer» F = 100 dyne = [MLT^-2] V = 10 cm s^-1 = [LT^-1] E = 400 ergs = [ML²T^-2] L = [ML²T^-2]/[MLT^-2] = [E]/[F] = 400/100 L = 4 cm [LT^-1] = 10 ⇒ 4T^-1 = 10 ⇒ T = 0.4 sec [MLT^-2] = 100 ⇒ M 4 × (0.4)^-2 = 100 ⇒ M = 4 gm

If the units of force, velocity and energy are 100 dyne, 10cm/sec and 400 ergs respectively, what will be the units of mass, length and time?

Answer»

F = 100 dyne = [MLT^-2]

V = 10 cm s^-1 = [LT^-1]

E = 400 ergs = [ML²T^-2]

L = [ML²T^-2]/[MLT^-2] = [E]/[F]

= 400/100

L = 4 cm

[LT^-1] = 10

⇒ 4T^-1 = 10

⇒ T = 0.4 sec

[MLT^-2] = 100

⇒ M 4 × (0.4)^-2 = 100

⇒ M = 4 gm