# Joint Entrance Screening Test (JEST) Past Year Question Papers 2017 Part 1

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## Part-A: 1-Mark Questions

Q1. A thin air film of thickness *d* is formed in a glass medium. For normal incidence, the condition for constructive interference in the reflected beam is (in terms of wavelength and integer *m* = 0,1, 2 …)

(a)

(b)

(c)

(d)

Q2. Consider the circuit shown in the figure where Current source *I* delivers 10*mA* current. The potential across the diode *D* is 0.7*V*. What is the potential at *A*?

(a) 10.35*V*

(b) 9.65*V*

(c) 19.30*V*

(d) 4.83*V*

Q3. ?

(a) 1

(b) 2

(c) 5

(d) 7

Q4. A bead of mass *M* slides along a parabolic wire described by The wire rotates with angular velocity about the *z* - axis. At what value of does the bead maintain a constant nonzero height under the action of gravity along ?

(a)

(b) *g*

(c)

(d)

Q5. Which one is the image of the complex domain under the mapping ?

(a)

(b)

(c)

(d)

Q6. After the detonation of an atom bomb, the spherical ball of gas was found to be of 15-meter radius at a temperature of . Given the adiabatic expansion coefficient , what will be the radius of the ball when its temperature reduces to ?

(a) 156*m*

(b) 50*m*

(c) 150*m*

(d) 100*m*

Q7. What is *Y* for the circuit shown below?

(a)

(b)

(c)

(d)

Q8. What is the dimension of , where is a wave function in two dimensions?

(a)

(b)

(c)

(d)

Q9. A plane electromagnetic wave propagating in air with is incident on a perfectly conducting slab positioned at field of the reflected wave is

(a)

(b)

(c)

(d)

Q10. Let and . Similarly, transformation of *M* to can be performed by

(a)

(b)

(c)

(d)

Q11. and are two sets of canonical coordinates, where and are the coordinates and and are the corresponding conjugate momenta. If and , then which of the following relations is true?

(a)

(b)

(c)

(d)