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JEE Main/Advanced 2008 Physics Answer Key

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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 = 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

 

 

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