Question

4. Express 1MW power in a system whose fundamental units are 10kg, 1 decimetre and 1 minute. [3] 5. Prove dimensionally the equation h = ½ gt for a distance travelled by a body falling freely under gravity in time t is incorrect. Find the correct equation. [3] 6. The energy E of a particle oscillating in simple harmonic motion depends on mass ‘m’ of the particle, frequency ‘n’ and amplitude ‘a’ of oscillation. Show dimensionally E α mn2a2.

Answer 1

Answer:

I am unable to Understand ur question

Answer 2

1 MW=10⁶ 

M₁=kg , M₂=10 kg.

L₁=cm. 1 cm=10 dm , L₂= dm. 

T₁=s , T₂=1m. 1m=60s

n₂=10⁶

As Power = [ML²T⁻³]

Here a=1, b=2, c=-3

n₁= n₂ ₓ [M₁/M₂]ᵃ ₓ [L₁/L₂]ᵇ ₓ [T₁/T₂]ⁿ

n₁=10⁶ ₓ [kg/10 kg] ₓ [cm/dm]² ₓ [s/1 min]⁻³

n₁= 10⁶ ₓ [1/10] ₓ [10 dm/dm]² ₓ [s/60 s]⁻³

n₁=10⁶ ₓ 1/10 ₓ 100 ₓ 60³

n₁=10⁶ ₓ 1/10 ₓ 100 ₓ 216000

n₁=10⁸ ₓ 2.16 ₓ 10⁴

n₁=2.16 ₓ 10¹²