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AIEEE 2009

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Physics Paper

1.

1.

PART A ­ PHYSICS This question contains Statement­ 1 and Statement­2 Of the four choices given after the statements, chooze the one that best describes the two statements. Statement1 : For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q. Statement 2 : The net work done by a conservative force on an object moving along a closed loop is zero. (1) Statement­1 is true, Statement­2 is false. (2) Statement­1 is true, Statement­2 is true; Statement ­2 is the correct explanation of Statement­1 (3) Statement­1 is true, Statement­2 is true; Statement ­2 is not the correct explanation of Statement­1 (4) Statement­1 is false, Statement­2 is true. (2)

2. The above is a plot of binding energy pernucleon E , against the nuclear mass M; A, B, C, b D, E, F correspond to different nuclei. Consider four reactions: (i) A + B ® C + e (ii) C ® A + B + e (iii) D + E ® F + e and (iv) F ® D + E + e, Where e is the energy released ? In which reactions is e positive? (1) (i) and (iv) (2) (i) and (iii) (3) (ii) and (iv) (4) (ii) and (iii) (4) Reaction releases energy if binding energy per nucleon increases.

2.

AIEEE 2009

Test Date 26­04­09

Physics

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3.

A p – n junction (D) shown in the figure can act as a rectifier. An alternating current source (V) is connected in the circuit.

The current (I) in the resistor (R) can be shown by: (1)
I

(2)
I

(3) t (4) t 3. 4.

(3) Diode acts as half­wave rectifier. The logic circuit shown below has the input waveforms ‘A’ and ‘B’ as shown. Pick out the correct output waveform.

Output is : (1) (3) 4. 5. (2) (4)

5.

(1) If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time? 2 2 2 2 (1) a T + 4p v (2) aT / x (3) aT + 2pv (4) aT / v 2 2 2 (1) Using a + w v = constant gives (1). 2 2 aT / x = (–w x) T / x = –w T = constant is true but does not make sense at x = 0.

AIEEE 2009

Test Date 26­04­09

Physics

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6.

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lenss and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance u and the image distance v, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of 45° with the x­axis meets the experimental curve at P. The coordinates of P will be: (1) (2f, 2f) æ f f ö (2) ç , ÷ è 2 2 ø (3) (f, f ) (4) (4f, 4f )

6. 7.

(1) u = v when both are 2f. A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is w. Its centre of mass rise to a maximum height of
2 1 l 2w (1) 3 g

1 lw (2) 6 g

2 1 l 2w (3) 2 g

2 1 l 2w (4) 6 g

7. 8.

2 2 2 2 (4) (1/2) (ml / 3) w = mgh Þ h = w l / (6g).

r Let P ( ) =

Q
4

pR total charge Q. For a point ‘p’ inside the sphere at distance r from the centre of the 1 sphere, the magnitude of electric field is: Q (1) 0 r 1

r be the charge density distribution for a solid sphere of radius R and

(2) 4 Î0 r 2 p 1 Qx
2

(3)

2 Qr1

4 Î0 R 4 p

(4)

2 Qr1

3 Î0 R 4 p

8. 9.

(3) q enclosed = ò

2 2 4 .4 x dx = p 4 \ E = Kq enclosed / r = Qr / 4pe R 1 1 0 p 4 R R 0

Qr 4 1

The transition from the state n = 4 to n = 3 in a hydrogen like atom results in ultraviolet radiation. In frared radiation will be obtained in the transition from: (1) 2 ® 1 (2) 3 ® 2 (3) 4 ® 2 (4) 5 ® 4 9. (4) Lesser energy is only for the transition 5 ® 4. 4 –2 10. One kg of a diatomic gas is at a pressure of 8 × 10 J Nm . The density of the gas is –3 4 kg m . What is the energy of the gas due to its thermal motion? 4 4 4 4 (1) 3 × 10 J (2) 5 × 10 J (3) 6 × 10 J (4) 7 × 10 J 4 10. (2) KE = (5 / 2) nRT = (5 / 2) (1 / M) RT & RT / M = p / r = 2 × 10 4 4 Þ KE = (5 / 2) × 2 × 10 = 5 × 10 J

AIEEE 2009

Test Date 26­04­09

Physics

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This question contains Statement­1 and Statement­2. Of the four choices given after the statements, choose the one that best describes the two statements. 11. Statement 1 : The temperature dependence of resistance is usually given as R = R 0 (1 + aDt). The resistance of a wire changes from 100 W to 150 W when its temperature is increased from 27°C to 227°C. This implies –3 that a = 2.5 × 10 / °C. Statement 2 : R = R (1 + aDt) is valid only when the change in the temperature 0 DT is small and DR = (R – R )