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Part A Chemistry: Which of the following is the energy of a possible excited state of hydrogen?

–6.8 eV

–3.4 eV

+6.8 eV

+13.6 eV

Part A Chemistry: In the following sequence of reactions:The product is:

C6H5CH3

C6H5CH2OH

C6H5CHO

C6H5COOH

Part A Chemistry: Which compound would give 5-keto-2-methyl hexanal upon ozonolysis?

Part A Chemistry: The ionic radii (in Å) of N3–, O2– and F– are respectively:

1.36, 1.71 and 1.40

1.71, 1.40 and 1.36

1.71, 1.36 and 1.40

1.36, 1.40 and 1.71

Part A Chemistry: The color of KMnO4 is due to:

d – d transition

L ? M charge transfer transition

? - ?* transition

M ? L charge transfer transition

Part A Chemistry: Assertion: Nitrogen and Oxygen are the main components in the atmosphere but these do not react toform oxides of nitrogen.Reason: The reaction between nitrogen and oxygen requires high temperature.

Both assertion and reason are correct, but the reason is not the correct explanation for the assertion

The assertion is incorrect, but the reason is correct

Both the assertion and reason are incorrect

Both assertion and reason are correct, and the reason is the correct explanation for the assertion

Part A Chemistry: Which of the following compounds is not an antacid?

Cimetidine

Phenelzine

Ranitidine

Aluminium hydroxide

Part A Chemistry: In the context of the Hall-Heroult process for the extraction of Al, which of the following statements isfalse?

Al2O3 is mixed with CaF2 which lowers the melting point of the mixture and brings conductivity

Al3+ is reduced at the cathode to form Al

Na3AlF6 serves as the electrolyte

CO and CO2 are produced in this process

Part B Maths:The sum of coefficients of integral powers of x in the binomial expansion of (1 - 2?x)50 is

1/2 (350)

1/2 (350 - 1)

1/2 (250 + 1)

1/2 (350 + 1)

Part B Maths:Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. Ifthen f(2) is equal to:

- 4

0

4

- 8

Part B Maths:The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deletedand three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is:

16.0

15.8

14.0

16.8

Part B Maths:The sum of first 9 terms of the seriesis:

96

142

192

71

Part B Maths:Let O be the vertex and Q be any point on the parabola, x2 = 8y. If the point P divides the line segment OQinternally in the ratio 1 : 3, then the locus of P is :

Y2 = X

Y2 = 2X

X2 = 2Y

X2 = Y

Part B Maths:Let ? and ? be the roots of equation x2 - 6x - 2 = 0. If an = ?n - ?n, for n ? 1, then he value of a10 - 2a8 / 2a9 is equal to:

- 6

3

- 3

6

Part B Maths:A complex number z is said to be unimodular if |z| = 1. Suppose z1 and z2 are complex numbers such thatis unimodular and z2 is not unimodular. Then the point z1 lies on a:

straight line parallel to y-axis.

circle of radius 2.

circle of radius ?2

straight line parallel to x-axis.

Part B Maths:The integralequals:

Part C Physics:As an electron makes a transition from an excited state to the ground state of a hydrogen – like atom/ion:

kinetic energy, potential energy and total energy decrease

kinetic energy decreases, potential energy increases but total energy remains same

kinetic energy and total energy decrease but potential energy increases

its kinetic energy increases but potential energy and total energy decrease

Part C Physics:The period of oscillation of a simple pendulum is.Measured value of L is 20.0 cm known to 1mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 sresolution. The accuracy in the determination of g is:

3%

1%

5%

2%

Part C Physics:A long cylindrical shell carries positive surface charge ? in the upper half and negative surface charge ??in the lower half. The electric field lines around the cylinder will look like figure given in: (figures areschematic and not drawn to scale)

Part C Physics:A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. Thefrequencies of the resultant signal is/are:

2005 kHz, and 1995 kHz

2005 kHz, 2000 kHz and 1995 kHz

2000 kHz and 1995 kHz

2 MHz only

Part C Physics:Consider a spherical shell of radius R at temperature T. The black body radiation inside it can beconsidered as an ideal gas of photons with internal energy per unit volumeand pressure. If the shell now undergoes an adiabatic expansion the relation between T and R is:

Part C Physics:An inductor (L = 0.03 H) and a resistor (R = 0.15 k?) are connected in series to a battery of 15V EMF in a circuit shown. The key K1has been kept closed for a long time. Then at t = 0, K1is opened and key K2 is closed simultaneously. At t = 1 ms, the current in the circuit will be: ( e5?150 )

67 mA

6.7 mA

0.67 mA

100 mA

Part C Physics:A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to TM. If the Young’s modulus of the material of the wire is Y then 1/Y is equal to: (g = gravitational acceleration)

Part C Physics:A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at adistance of 1 m from the diode is:

2.45 V/m

5.48 V/m

7.75 V/m

1.73 V/m

–6.8 eV

–3.4 eV

+6.8 eV

+13.6 eV

Part A Chemistry: In the following sequence of reactions:The product is:

C6H5CH3

C6H5CH2OH

C6H5CHO

C6H5COOH

Part A Chemistry: Which compound would give 5-keto-2-methyl hexanal upon ozonolysis?

Part A Chemistry: The ionic radii (in Å) of N3–, O2– and F– are respectively:

1.36, 1.71 and 1.40

1.71, 1.40 and 1.36

1.71, 1.36 and 1.40

1.36, 1.40 and 1.71

Part A Chemistry: The color of KMnO4 is due to:

d – d transition

L ? M charge transfer transition

? - ?* transition

M ? L charge transfer transition

Part A Chemistry: Assertion: Nitrogen and Oxygen are the main components in the atmosphere but these do not react toform oxides of nitrogen.Reason: The reaction between nitrogen and oxygen requires high temperature.

Both assertion and reason are correct, but the reason is not the correct explanation for the assertion

The assertion is incorrect, but the reason is correct

Both the assertion and reason are incorrect

Both assertion and reason are correct, and the reason is the correct explanation for the assertion

Part A Chemistry: Which of the following compounds is not an antacid?

Cimetidine

Phenelzine

Ranitidine

Aluminium hydroxide

Part A Chemistry: In the context of the Hall-Heroult process for the extraction of Al, which of the following statements isfalse?

Al2O3 is mixed with CaF2 which lowers the melting point of the mixture and brings conductivity

Al3+ is reduced at the cathode to form Al

Na3AlF6 serves as the electrolyte

CO and CO2 are produced in this process

Part B Maths:The sum of coefficients of integral powers of x in the binomial expansion of (1 - 2?x)50 is

1/2 (350)

1/2 (350 - 1)

1/2 (250 + 1)

1/2 (350 + 1)

Part B Maths:Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. Ifthen f(2) is equal to:

- 4

0

4

- 8

Part B Maths:The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deletedand three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is:

16.0

15.8

14.0

16.8

Part B Maths:The sum of first 9 terms of the seriesis:

96

142

192

71

Part B Maths:Let O be the vertex and Q be any point on the parabola, x2 = 8y. If the point P divides the line segment OQinternally in the ratio 1 : 3, then the locus of P is :

Y2 = X

Y2 = 2X

X2 = 2Y

X2 = Y

Part B Maths:Let ? and ? be the roots of equation x2 - 6x - 2 = 0. If an = ?n - ?n, for n ? 1, then he value of a10 - 2a8 / 2a9 is equal to:

- 6

3

- 3

6

Part B Maths:A complex number z is said to be unimodular if |z| = 1. Suppose z1 and z2 are complex numbers such thatis unimodular and z2 is not unimodular. Then the point z1 lies on a:

straight line parallel to y-axis.

circle of radius 2.

circle of radius ?2

straight line parallel to x-axis.

Part B Maths:The integralequals:

Part C Physics:As an electron makes a transition from an excited state to the ground state of a hydrogen – like atom/ion:

kinetic energy, potential energy and total energy decrease

kinetic energy decreases, potential energy increases but total energy remains same

kinetic energy and total energy decrease but potential energy increases

its kinetic energy increases but potential energy and total energy decrease

Part C Physics:The period of oscillation of a simple pendulum is.Measured value of L is 20.0 cm known to 1mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 sresolution. The accuracy in the determination of g is:

3%

1%

5%

2%

Part C Physics:A long cylindrical shell carries positive surface charge ? in the upper half and negative surface charge ??in the lower half. The electric field lines around the cylinder will look like figure given in: (figures areschematic and not drawn to scale)

Part C Physics:A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. Thefrequencies of the resultant signal is/are:

2005 kHz, and 1995 kHz

2005 kHz, 2000 kHz and 1995 kHz

2000 kHz and 1995 kHz

2 MHz only

Part C Physics:Consider a spherical shell of radius R at temperature T. The black body radiation inside it can beconsidered as an ideal gas of photons with internal energy per unit volumeand pressure. If the shell now undergoes an adiabatic expansion the relation between T and R is:

Part C Physics:An inductor (L = 0.03 H) and a resistor (R = 0.15 k?) are connected in series to a battery of 15V EMF in a circuit shown. The key K1has been kept closed for a long time. Then at t = 0, K1is opened and key K2 is closed simultaneously. At t = 1 ms, the current in the circuit will be: ( e5?150 )

67 mA

6.7 mA

0.67 mA

100 mA

Part C Physics:A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to TM. If the Young’s modulus of the material of the wire is Y then 1/Y is equal to: (g = gravitational acceleration)

Part C Physics:A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at adistance of 1 m from the diode is:

2.45 V/m

5.48 V/m

7.75 V/m

1.73 V/m

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