# Joint Entrance Screening Test (JEST) Past Year Question Papers 2018 Part 5

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Q11. The elastic wave on a stretched rectangular membrane of size in the x-y plane is described by the function where A and are constants. The speed of the elastic waves is v. The angular frequency is

(a)

(b)

(c)

(d)

Q12. A large cylinder of radius R filled with particles of mass m. The cylinder spins about its axis at an angular speed radians per second, providing an acceleration g for the particles at the rim. If tile temperature T is constant inside the cylinder, what is the ratio of air pressure at the axis to the pressure , at the rim?

(a)

(b)

(c)

(d)

Q13. In an experiment, certain quantity of an ideal gas at temperature pressure and volume is heated by a current flowing through a Wire for a duration of t seconds. The volume is kept constant and the pressure changes to . If the experiment is performed at constant pressure starting with the same initial conditions, the volume changes from to . The ratio of the specific heats at constant pressure and constant volume is

(a)

(b)

(c)

(d)

Q14. Consider a wave packet defined by

Further, for and for

. Then, the form of normalized is

(a)

(b)

(c)

(d)

Q15. If it՚s Legendre transformed function , up to a multiplicative constant, is

(a)

(b)

(c)

(d)