2021Re SAP (20) MCQ ENG

12
ADVANCED LEVEL PHYSICS - AMITH PUSSELLA - 1 - ADVANCED LEVEL - PHYSICS - A MITH P USSELLA AL/2021REVISION/THEORY /SAP 20 1. Choose the answer that correctly represents Stefan constant in SI units, (1) Wm -2 K -1 (2) Wm -2 K -4 (3) mK (4) Wm -2 (5) mK -1 2. Height to which a liquid with an angle of contact θ 1 rises, inside a capillary tube of cross sectional area A held vertically, is h. When another liquid with an angle of contact θ 2 is inside held vertically a capillary tube of cross sectional area 2A , it rises to a height of h/2. Then, cos θ 1 equals to, (Surface tension and density of 1 st liquid cos θ 2 are T 1 and ρ 1 respectively, while those of 2 nd liquid are T 2 and ρ 2 respectively& (1) 2 ρ 1 T 2 (2) ρ ρ ρ ρ ρ 1 T 2 (3) 2 ρ 1 T 2 (4) 1 ρ ρ ρ ρ ρ 1 T 2 (5) 1 ρ ρ ρ ρ ρ 1 x T 1 ρ 2 T 1 2 ρ 2 T 1 ρ 2 T 1 2 ρ 2 T 1 2 ρ ρ ρ ρ ρ 2 T 2 3. If specific latent heat of fusion of ice is 3.2 x 10 5 Jkg -1 and specific heat capacity of water is 4 x 10 3 Jkg -1 K -1 , required mass of water at 1 0 C temperature needed to convert 1 g of ice at 0 0 C to 1g of water at 0 0 C, in grams would be, (1) 1 g (2) 1 g (3) 40 g (4) 80 g (5) 400 g 40 17 Name 12

Transcript of 2021Re SAP (20) MCQ ENG

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1. Choose the answer that correctly represents Stefan constant in SI units,

(1) Wm-2K-1 (2) Wm-2K-4 (3) mK (4) Wm-2 (5) m K-1

2. Height to which a liquid with an angle of contact θθθθθ1 rises, inside a capillary tube of cross sectional area A held

vertically, is h. When another liquid with an angle of contact θθθθθ2 is inside held vertically a capillary tube of cross

sectional area 2A , it rises to a height of h/2. Then,cos θθθθθ

1

equals to, (Surface tension and density of 1st liquidcos θθθθθ

2

are T1 and ρρρρρ

1 respectively, while those of 2nd liquid are T

2 and ρρρρρ

2 respectively&&&&&

(1) 2 ρρρρρ

1 T

2 (2) ρ ρ ρ ρ ρ

1 T

2 (3) √ √ √ √ √2 ρρρρρ

1 T

2 (4) 1 ρ ρ ρ ρ ρ

1 T

2 (5) 1 ρ ρ ρ ρ ρ

1 x

T1

ρρρρρ2 T

1 2 ρρρρρ

2 T

1 ρρρρρ

2 T

1 √ √ √ √ √2 ρρρρρ

2 T

1 √ √ √ √ √2 ρ ρ ρ ρ ρ

2 T

2

3. If specific latent heat of fusion of ice is 3.2 x 105 Jkg-1 and specific heat capacity of water is 4 x 103 Jkg-1K-1, required

mass of water at 1 0C temperature needed to convert 1 g of ice at 0 0C to 1g of water at 0 0C, in grams would be,

(1) 1 g (2) 1

g (3) 40 g (4) 80 g (5) 400 g 40

17

Name

12

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4. A train moves toward a passenger standing near train platform, with uniform velocity, while sounding its horn Then

in sound as heard by the passenger,

(1) Intensity of sound as well as frequency gradually increase.

(2) Intensity of sound increases while frequency gradually decreases.

(3) Intensity of sound increases while frequency remains unchanged.

(4) Intensity of sound does not change while frequency gradually increases.

(5) Both sound intensity and frequency remain unchanged.

5. Variation of momentum (P) with time (t) of an object of mass

0.5 kg, with in 1st 8 seconds is as represented. Total distance it

has travelled with in the time from t = 0 to t = 8s is,

(1) 0 (2) 16 m (3) 32 m

(4) 64 m (5) 48 m

6. W is a horizontal uniform loop of wire and a current I is present in it,

towards anti-clockwise direction. A conductor is kept on two fixed smooth

wires, QR and ST which are in the same plane of wire loop. When a

current I passes through them as shown conductive wire would,

(1) move towards QS with an increasing velocity

(2) move towards RT with an increasing velocity

(3) move towards QS with an decreasing velocity

(4) move towards RT with an decreasing velocity

(5) move towards QS with a uniform velocity

7. A cane bridge constructed across a dam swings under time intervals of 5 seconds, because of the wind. Velocity of

transverse waves travelling along the bridge is estimated to be 400 ms-1. Length of the bridge that would cause the

highest risk , when bridge is oscillating in fundamental frequency would be,

(1) 20 m (2) 40 m (3) 80 m (4) 1000 m (5) 2000 m

8. Image of a point object O kept at a distance 10 cm, in front of a concave

lense is I. Now, when keeping a convex lense with the concave lense, point

image is created at a distance 5 cm from the lense combination on the other

side. Focal length of the convex lense would be,

(1) 2.5 cm (2) 5.0 cm (3) 7.5 cm

(4) 10 cm (5) 20 cm

9. Force of air resistance acting on a train moving with a velocity V is Fd = kV2 . When the train is moving on a horizontal

track with a uniform velocity of 50 ms-1 , driven force of train engine and power supplied by the engine in Newtons and

Watts respectively would be,

(1) 0 , 0 (2) 2500 k and 1.25 x 105 k (3) 1.25 x 105 k and 2.5 x 105 k

(4) 1.25 x 105 k and 2.5 x 106 k (5) 2500 k and 2.5 x 105 k

10. A small mark on the base of a travelling microscope (horizontal table of microscope) is focused on to cross wires of

microscope. When a glass block is kept on the mark, microscope had to be moved upwards a distance of 4.32 mm in

order to obtain a clear image on cross wires. Then, mark was removed and glass block was kept on the base and mark

was placed on top surface of the block. Then, microscope was moved upwards a distance of 10.38 mm from that

position to focus the image on to cross wires again. Refractive index of that glass block is,

(1) 14.70

(2) 14.70

(3) 10.38

(4) 6.06

(5) 10.38

4.32 10.38 4.32 4.32 6.06

t/s4 8

P/kg ms-1

W

I

Q

S

T

I

I

R

I

I

5 cm

10 cm

O

I

0

8

-4

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11. Data about two spaces A and B are as given below.

Temperature R.H A.H Dew point

A 30 0C 60 % 24 gm-3 25 0C

B 25 0C 75 % 20 gm-3 23 0C

(A) Velocity of sound in space A is higher that in B.

(B) Absolute humidity at dew point is higher in space A than in B.

(C) People inside B feel more cold than people inside A.

True of the above.

(1) Only (A) and (B) (2) Only (B) and (C) (3) Only (A)

(4) All of the above (5) None of the above

12. Compressive Young's modulus of a human bone is 2 x 109 Nm-2 and 40 % of his total weight affects the lower bone

of a leg and minimum cross sectional area of this bone is 10 cm2. If length of the bone is 40 cm and compressive

extension is 5 x 10-5 m, mass of the human is,

(1) 80 kg (2) 75 kg (3) 62.5 kg

(4) 60 kg (5) 50 kg

13. Mean kinetic energy of a molecule of an ideal gas at 20 0C temperature is E. Temperature was increased upto 40 0C

and volume of the gas was doubled. Then, mean kinetic of a molecule of that gas is,

(1) E (2) 1.07 E (3) 2 E (4) 4 E (5) 2.14 E

14. Consider following statements regarding a light microscope.

(A) In normal adjustment, final image is always larger than the object.

(B) When forming final image at infinity, angular magnification is decided only by focal length of the lense.

(C) There is no special advantage in keeping the eye near the lense, when light microscope is in normal

adjustment.

True of the above,

(1) Only (A) (2) Only (A) and (B) (3) Only (A) and (C)

(4) All of the above (5) None of the above.

15. Fixed mass of an ideal gas engages in four processes A,B,C

and D as shown in the graph. Out of these, process where

∆∆∆∆∆Q = 0 would be,

(1) Only in A and D (2) Only in B and D

(3) Only in B (4) Only in A , B and D

(5) Only in C

P

V

A

D

B C

T4

T3

T2

T1

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16. Four current balances are represented in following figures. Those which could be seen slanted, when a current

passes through the balances would be,

(1) Only (a) and (b) (2) Only (b) and (c) (3) Only (b) and (d)

(4) Only (c) (5) Only (d)

17. A fishermen on land expects to catch a fish using a spear.

Positions of the fish, sea anemone , crab and oyster shell

are represented in the diagram. At that moment, spear

could hit the fish, if he aims to the position of,

(A) Crab as seen through water.

(B) Sea anemone as seen through water.

(C) Oyster shell as seen through water.

True of the above could be,

(1) Only (B) (2) Only (A) and (B)

(3) Only (A) and (C) (4) All of the above

(5) None of the above

18. In order to release kinetic energy of a system completely after a perfectly inelastic collision, collision should be

happened in a way in which,

(1) magnitudes of momentums of two objects before collision are equal and opposite in direction.

(2) masses of two objects are equal.

(3) velocities of two objects are equal.

(4) speeds of two objects are equal and opposite in direction.

(5) both objects have the same kinetic energy.

19. Electric field intensity at a certain region of space is zero. Accordingly, statement that could be said for certain, about

electric potential at that region would be,

(1) it is equal to zero. (2) it is a constant value.

(3) it is a positive potential with a constant value. (4) it is negative potential with a constant value.

(5) it is a region where (-) and (+) potentials with equal magnitudes are present at either sides.

123412341234123412341234123412341234

1234123412341234123412341234

1234567123456712345671234567

123456712345671234567

I

I

I

I

I

N

S

NS

I

I

II

I

I

I

I

I

I

I

II

I

I1

I1

I1

I1

(a) (b)

(c) (d)

Oyster shellSea anemone

Fish

Crab

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20. When there is a potential difference of V between two horizon-

tal parallel plates, a (-) charged particle P remains stationary at

its middle. Now, when increasing the potential difference V,

particle P moves towards the upper plate and when decreasing

the potential difference V, it moves towards the lower plate.

Choose the correct statement regarding this.

(1) When increasing V, both gravitational potential energy and electric potential energy of P get increased.

(2) When increasing V, both gravitational potential energy and electric potential energy of P get decreased.

(3) When decreasing V, both gravitational potential energy and electric potential energy of P get decreased.

(4) When decreasing V, both gravitational potential energy and electric potential energy of P get increased.

(5) When increasing V, increment of gravitational potential energy is equal to the decrement of electric potential

energy, of P.

21. First, two rods (1) and (2) which are made of different materials but

have the same dimensions, are connected in series, lagged well and

its ends are kept in steady temperatures of T1 and T

2 . Then, they

are connected in parallel, lagged well and its ends are also kept in

steady temperatures of T1 and T

2. When thermal conductivity of

material (1) is k and that of (2) is 3k,

Rate of heat flow when connected in series equals to,

Rate of heat flow when connected in parallel

(1) 1

(2) 2

(3) 3

(4) 2

(5) 3 6 9 16 5

22. Equivalent resistance between A and B of the given system

would be,

(1) 3 R (2) 4 R (3) 2 R

(4) R (5) 5 R

23. In a circuit regulated using a zener diode, VZ = 30 V and

IZ = 4 mA. Current I through R

1 and resistance of load resistor

RL would be,

(1) 4 mA , 80 kΩΩΩΩΩ (2) 5 mA , 30 kΩΩΩΩΩ(3) 3 mA , 50 kΩΩΩΩΩ (4) 8 mA , 30 kΩΩΩΩΩ(5) 5 mA , 80 kΩΩΩΩΩ

24. As shown in the figure, two boards, each of weight 300 N are

kept on a horizontal floor, such that they are vertically balanced

making angles of 450 with the vertical. Static frictional force

acting on a board by the floor is,

^Consider that, sin 450 = cos 450 = 0.7 & & & & &

(1) 300 N (2) 150 N (3) 450 N

(4) 250 N (5) 375 N

P V

1 2

X X X X X X X X X X

X X X X X X X X X X

X X X X X X X X X XX X X X X X X X X X

1

2

X X X X X X

X X X X X X

X X X X X X

T2

T1

T2

T1

A B

C

D

R

RR

R

R

RR

RR

R

R

R

R1 = 10 kΩΩΩΩΩ

I

VIN

= 80 V

RL

IZ= 4mA

VZ

= 30V

1234567890123456712345678901234567123456789012345671234567890123456712345678901234567123456789012345671234567890123456712345678901234567123456789012345671234567890123456712345678901234567123456789012345671234567890123456712345678901234567

450450

E F G

R R

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25.

AB is a wire of uniform cross section and V is an ideal zero

centre voltmeter. When plotting a graph for variation of

voltmeter reading with l0, its rough shape is as represented

below.

Total length of wire AB is L. Consider following statements

regarding this.

(A) R2 = 2 R

1

(A) When value of L0 becomes L/2, current through R

2

becomes higher the current through R1.

(B) l0 = L/4, current through R

2 becomes lower the current

through R1.

True of the above,

(1) Only (A) (2) Only (A) and (B)

(3) Only (A) and (C) (4) All of the above (5) None of the above

26. Choose the diagram that shows torque and force acting on the front wheel of a Front Wheel Drive car (in which, front

wheel is the driven wheel) under the times, when it is gradually coming to rest by applying brakes and then

accelerating forward again would be,

27. Circuit on right side contains three diodes D1 , D

2 and D

3 and a

resistor R. Variations of potentials V1 , V

2 and V

3 with time are

shown in following graphs.

V

l0

A BD

C

R1

R2

Voltmeter

Reading

l0

Applying brakes accelerating

(1) (2) (3)

(4) (5)

V0RV

3

V2

V1 D

3

D2

D1

+

+

+

V1

3 6 t/ms0

V2

3 6 t/ms0

V3

3 6 t/ms0

L/3 L

Applying brakes accelerating Applying brakes accelerating

Applying brakes accelerating Applying brakes accelerating

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Here, shape of the graph that shows variation of V0 (output voltage) with time, under the time of 6 ms that is taken for

a single cycle would be,

28. As shown in the figure, a coil ABCD of area 20 cm2 containing

300 turns rotates at a constant rate of 10 rotations per minute.

If direction of rotation is as represented, maximum value of

induced electro motive force across the loop and then, direction

of induced current would be, (magnetic flux density B = 50 mT.)

(πππππ = 3)

(1) 0.02V , in the direction ABCD

(2) 0.02V , in the direction DCBA

(3) 0.03V , in the direction ABCD

(4) 0.03V , in the direction DCBA

(5) 0.06V , in the direction ABCD

29. Motions of three particles p, q, r inside a uniform magnetic field are as represented. Their velocities are vp, v

q and v

r.

Time periods of their circular motions inside the field are tp, t

q and t

r. If magnitudes of charges and masses of all

three particles are equal, choose the correct statement out of the following.

Particle with the Particle with the longest Positively charged

highest velocity time period particle/particles

(1) p p Only q and r

(2) q r Only q and r

(3) p Only p and q

(4) p Only p

(5) q r Only p and r

V0

3 6 t/ms0

(1)

V0

3 60

(2)

V0

3 60

(3)

V0

3 60

(4)

V0

3 60

(5)

123456789012345678901234567890

123456712345671234567 A D

CB

NS

X X X X X X

X X X X X X

X X X X X X

X X X X X X

X X X X X X

p

r

a/2 a

q

t/ms

t/ms t/ms

t/ms

a

rTime periods of all three particlesare the same

Time periods of all three particlesare the same

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30. A well bouncing rubber ball is released freely, from a position where the

height from ground to the highest point (X) of the ball is H. Since then, shape

of the graph that shows the variation of vertical height to the point X (highest

point of the ball) from the ground with time, until the ball leaves the contact

with ground for the 1st time after striking the ground would be,

31. A small electricity power station generates electricity with a power of 2 MW. Then, potential difference is increased

up to 40 kV by a step-up transformer and it is supplied to a sub-station. If total resistance of those wires is 2 ΩΩΩΩΩ,

percentage of the ratio between rate of energy wastage as heat by the wires and rate of electricity generation is,

(1) 2 % (2) 1 % (3) 0.1 % (4) 0.25 % (5) 0.5 %

32. Resistance of wire AB of the given potentiometer cir-

cuit is 2R. When k is opened, while keeping the resis-

tance of variable resistor as R, obtained balanced length

was l0. If total length of the wire L = 2 l

0 and balanced

length obtained when k is closed is 3l0/4, internal resis-

tance of the cell equals to,

(1) R

(2) R

(3) R

1

2 3 3

(4) R

1 (5) R

1

2 4

(Highest point of the

ball)

H

t

(1)

0 t

(2)

0

t

(3)

0 t

(4)

0 t

(5)

0

40 kV

Power Station Total resistance

of wires is 2 ΩΩΩΩΩSub Station

↑↑↑↑↑

A B

E0

R (Variable resistor)

E1 , r

k

R1

C

X

2 MW

l0

h h

h h h

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33. Number of antinodes obtained in stationary wave of A is one less than the obtained number of nodes. While, number

of antinodes obtained in stationary wave of B is one higher than the obtained number of nodes. A and B respectively

could be,

(1) a taut wire, a tube in which one end is closed.

(2) a tube in which one end is closed, a tube in which both ends are opened.

(3) a tube in which both ends are opened, a taut string.

(4) a taut string, a tube in which both ends are opened.

(5) a tube in which one end is closed, a taut string.

34. In order to raise a roller over an edge, a man exerts a force towards a direction

inclined at an angle θ θ θ θ θ to the horizontal as shown in the diagram. If force exerted

by the man along the string, which is required to scarcely raise this roller from

the ground is F, graph that represents the variation of this force F with angle θθθθθunder the range 00 to 900 would be,

35. When water and oil of density 750 kgm-3 are present inside a U-

tube, height of the oil column is 5.00 cm. Now, when top of the

right arm containing oil is covered (in such way that wind cur-

rent supplied to left arm doesn't affect the right arm) and a wind

current of velocity υυυυυ is created above the left arm, top levels of

both liquids got equal. If density of air is 1.3 kgm-3, equation that

gives the magnitude of υ υ υ υ υ would be,

(1) υ υ υ υ υ = 2.5 x 102

(2) υυυυυ =1.25 x 750

1.3 1.3 x 1000

(3) υυυυυ = 2.5 x 7.5 x 10

(4) υυυυυ = 1.3 x 750

1.3 1.25 x 1000

(5) υυυυυ = 1.3 x 102

2.5

36. Meter shown at right side contains a linear scale. When X and

Y are open, it shows a reading of 20 scale units. When a resis-

tor of resistance 2000 ΩΩΩΩΩ is connected between X and Y, reading

of the meter would be,

(1) 5 (2) 10 (3) 25

(4) 28 (5) 40

37. A student suggests following methods to increase the efficiency of a transformer.

(A) Using solid soft iron block instead laminated metal slats.

(B) Using wires with higher thickness for wrapping coils.

(C) Using wires with lower resistivity for coils.

True of the above,

(1) Only (A) and (B) (2) Only (B) and (C) (3) Only (A) and (C)

(4) All of the above (5) None of the above

123456789012345123456789012345

θ

F

0 45 90

(1)

θθθθθ

F

0 45 90

(2)

θθθθθ

F

0 45 90

(3)

θθθθθ

F

0 45 90

(4)

θθθθθ

F

0 45 90

(5)

θθθθθ

5 cm5 cm

Oil

Water

cover

υ

→→→→→

5 ΩΩΩΩΩ

2995 ΩΩΩΩΩ 2000 ΩΩΩΩΩ

r = 0

1.5 VX

Y

Meter

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38. A conductor with two different thicknesses is made according to the

measurements shown. When making a portion of diameter D/2 with

one uniform thickness using this conductor, such that its volume doesn't

change how many times is the resistance of new portion than the resis-

tance of initial compound portion?

(1) 16 times (2 ) 32 times (3) 64 times

(4) 128 times (5) 256 times

39. Near the edge of a circular table, there is a small wooden block

and a coin is on the wooden block, as shown in the figure.

µµµµµs = 0.3 and µµµµµ

k = 0.2 between the coin and the wooden block.

µµµµµs = 0.5 and µµµµµ

k = 0.4 between the wooden block and the circular

table. If ωωωωω0 0 0 0 0 is the maximum angular velocity that the circular

table could have for the above coin or the wooden block to remain

without slipping, ωωωωω0 0 0 0 0 equals to,

(1) √√√√√2 rads-1 (2) 2 rads-1 (3) √√√√√3 rads-1

(4) √√√√√5 rads-1 (5) 5 rads-1

40. When obtaining a fixed reading by connecting an ideal voltmeter V

between ab, while keeping S open in the given circuit and then,

when obtaining a fixed reading between ab , using V while

keeping S closed,

Reading when S is opened equals to,

Reading when S is closed

(1) 2

(2) 1

(3) 1

(4) 2 (5) 3 3 2 3

41. In a spectrometer, 30 Vernier divisions coincide with 29 divisions of 1/20 of main circular scale. Using this, in order

to find minimum deviation of a prism, first reading R1 corresponding to the position of telescope when it is exactly in

front of the collimator and reading R2 corresponding to the instance obtained by rotating the telescope until minimum

deviation is found by keeping the prism are as represented below. Accordingly, angle of minimum deviation would be,

(1) 280 221 (2) 3500 521 (3) 3220 301 (4) 370 301 (5) 1610 151

42. A transverse wave pulse is formed by creating a single peri-

odic transverse motion from the front end of a taut string,

and it moves towards right. This pulse takes a time of t0 to

reach the other end. This to could be decreased by,

(1) decreasing the time taken to create this pulse, without

changing its amplitude of oscillation.

(2) creating the pulse slowly, without changing its amplitude of oscillation.

(3) increasing the amplitude of oscillation without changing the time taken to create the pulse.

(4) oscillating another string with the same length, under same tension, but having a higher weight, without changing

the amplitude or time.

(5) oscillating another string with the same length, under same tension, but having a lower weight, without changing

the amplitude or time.

r = 1m

Circular

table

Co in

Wooden

block

V

V0

C

2 C

3 C

S

a

b

30

20 10

0

300 290280

Coincident line

Reading R1

123412341234123412341234123412341234

2D D

L

L

3520

3500

3510

30

20 10

0

Coincident line

Reading R2

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43. A satellite orbits around earth along an elliptical path and furthest distance to earth from that path is four times that

of the nearest distance. If its kinetic energy at nearest position is E , its kinetic energy at furthest position would be,

(1) E (2) E

(3) 4 E (4) E

(5) 16 E 4 16

44. In the circuit shown in right side, resistance of variable resistor R1 is

changed from zero to infinity. Then, graph that correctly represents

variation of value of potential V0 at Y relative to X , with R

1 would be,

45. When supplying heat to two liquids A and B with a uniform rate, variation of temperature occurred with time was as

represented in the graph.

IfSpecific latent heat of vaporization of liquid A

=3

Specific latent heat of vaporization of liquid B 4

Specific heat capacity of liquid A equals to,

Specific heat capacity of liquid B

(1) 4

(2) 6

(3) 5

3 5 6

(4) 5

(5) 4

4 5

46. If r = 0 in all cells, potential at X relative to B, when switch S is open

would be,

(1) + 6 V (2) + 3 V (3) - 3 V

(4) - 2 V (5) + 1 V

0 20 40 120 130

20

50

60

Temperature/0C

time/s

1 0 ΩΩΩΩΩ 1 0 ΩΩΩΩΩ

1 0 ΩΩΩΩΩ

4V 3V

2V

D1 0 ΩΩΩΩΩE

CF

BA

X2V

S

+ 15V

R

R

R1

R

Y

X

V = 0

V0

R R1

0

5

3

(3)

V0

R R1

0

5

3

(4)

V0

R

R1

0

5

3

(5)

-3

-5

V0

R R1

0

-5

-3

(1)

V0

R0

-5

-3

(2)

R1

A

B

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ADVANCED LEVEL PHYSICS - AMITH PUSSELLA

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ADVANCED LEVEL - PHYSICS - AMITH PUSSELLA

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47. As shown in the figure, water falls to the container from the tap (under

constant rate). Water exits through a horizontal tube fixed to this con-

tainer and a vertical tube is connected in middle, in order to keep the

water level constant. Now, the tube is gradually inserted to water hori-

zontally with a constant velocity. Graph that shows the rough shape of

variation of pressure difference (∆∆∆∆∆P) between points A and B with time

would be,

48. One fourth of a cylindrical glass block is kept on a table as shown in

the diagram. In order for a ray striking perpendicular to one plane,

to incident at a point outwards from D on the table, in the value of

n,

(1) minimum could be 1

(2) maximum could be 1

sin 40 sin 40

(3) minimum could be 1

(4) maximum could be 1

(5) maximum could be 1

sin 50 sin 50 sin 45

49. At an instance where a +Q charge is given to a conduc-

tive sphere X, an unchanged conductive small sphere Y

is brought near X from infinity, as shown in the figure.

Then point where electric field intensity is maximum,

out of the five given points would be,

(1) A (2) B (3) C

(4) D (5) E

50. Planes of two circular wire loops P and Q are parallel and a uniform mag-

netic field acts perpendicularly away from those planes. Area of loop P is

0.2 m2 and that of loop Q is 0.4 m2. When decreasing magnetic flux density

with a uniform rate of 2.5 Ts-1 , potential at Y relative to X would be,

(1) - 1.0 V (2) - 0.5 V (3) + 1.0 V

(4) + 0.5 V (5) - 1.5 V

∆∆∆∆∆ P∆∆∆∆∆ P∆∆∆∆∆ P∆∆∆∆∆ P

A B

t

∆∆∆∆∆ P

(5)t

(4)t

(3)t

(1)

exiting water

D

n

YEDBA

X

+Q

C

t

(2)

B

P

X

Y

Q

500