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 1) 4 2) 3 3) none 4) 2 5) 4 6) 2 7) 2 8) 1 9) 1 10) 3 11) 3 12) 1 13) 4 14) 2 15) 2 16) 3 17) 1 18) 3 19) 1 20) 3 21) 1 22) 3 23) 1 24) 1 25) 1 26) 1 27) 2 28) 3 29) 4 30) 4 31) 4 32) 3 33) 4 34) 2 35) 4

1.

Momentum = mass x velocity

Momentum = 3.513 x 5.00 = 17.565 kg m sec-1

Momentum in three significant digit = 17.6 kg m sec-1

2.

Moment of Inertia of a body is the inertia of a rotating body with respect to the axis of rotation.

Moment of Inertia of the square plate at the center of the axis (vertical axis) = ma2/6

Moment Inertia at the axis passing through corner = Icenter + m d2 = ma2 + m(a/√2)= 2/3 ma2

3.

Speed of the sound in gas

V = √(γRT/m)

R = gas constant(8.314 J/mol K)

T = the absolute temperature

M = the molecular weight of the gas (kg/mol)

g = adiabatic constant = cp/cv

gO2 = 7/5

gHe = 5/3

MO2 = 32

MHe = 4

460 = √(7RT/5x32)                       ...... (i)

VHe = √(5RT/3x4)                         ...... (ii)

By solving (i) and (ii) VHe = 1419 m sec-1