The displacement of a progressive wave is represented by y = A sin(wt – k x ), where x is distance and t is time. Write the dimensional formula of (i) ω and (ii) k.
The displacement of a progressive wave is represented by y = A sin(wt – k x ), where x is distance and t is time. Write the dimensional formula of (i) ω and (ii) k.
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1 Answer
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This is a short answer type question as classified in NCERT Exemplar
For dimensional consistency LHS = RHS
[L]= [A]=L
As wt-kx should be dimensionless [wt]= [kx]=1
w [T]=k [L]=1
So w= [T]-1 and k= [L]-1
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Total moles of gas = n = nOxygen + nOxygen =
Volume of gas = 12 × 22.4 litre = 268.8 litre = 2.688 × 105 cm3
Viscosity = Pascal . Second
=
= x = 1, x + 2y = -1, -x + z = 1
y = -1, Z = 0
Viscosity = [P1A-1T0]
1 msD = 1mm
10 vsD = 9msD
1vsD = 0.9 MsD
L.C. = 1MSD – 1VSD = 1 – 0.9 = 0.1 mm
Zero error = 4LC = 0.4 mm
Reading = MSR + VSR + correction
= 4.1 cm + 6 * .01 cm + (-0.04 cm) = (4.1 + 0.06 – 0.04) cm
= 4.12 cm = 412 * 10-2 cm
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