Question Paper Name: BTECH 8th Jan 2020 Shift 2
Subject Name: BTECH
Creation Date: 2020-01-08 18:54:28
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Duration: 180Total Marks: 300
Display Marks: Yes
Group Number : 1
Group Id : 40503621
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Group Maximum Duration : 0Group Minimum Duration : 180
Show Attended Group? : No
Edit Attended Group? : No
Break time: 0
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Group Marks: 300Is this Group for Examiner?: No
Section Id : 4056
Section Number : 1
Section type : Online
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Mandatory or Optional: MandatoryNumber of Questions: 25
Number of Questions to be attempted: 25
Section Marks: 100
Sub-Section Number: 1
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Sub-Section Id: 405036104Question Shuffling Allowed : Yes
Question Number : 1 Question Type : MCQ Option Shuffling: Yes
Correct Marks: 4 Wrong Marks : 1
A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stop watch with 1 s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is:
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- 3.40%
- 2.40%
- 4.40%
- 5.40%
Question Number : 1 Question Type : MCQ Option Shuffling : Yes
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Correct Marks : 4 Wrong Marks : 1? ? ? ? ? ? ? ? ? ? ? ? g ? ? ? ? ? ? ? ? ? ? ? ? ? 25.0 cm ? ? ? 40 ? ? ? ? 1 s ? (resolution) ? ? ? ? ? ? 50 s ? ? g ? ? ? ? (accuracy) ? :
Options:
- 3.40%
- 2.40%
- 4.40%
- 5.40%
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Question Number: 1 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? 25.0 cm ? ? 1s ? ? ? ? 40 ? ? 50 s ? ? ? ?. g ? ? ? ?.
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Options:
- 3.40%
- 2.40%
- 4.40%
- 5.40%
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Question Number : 2 Question Type : MCQ Option Shuffling : Yes
Correct Marks: 4 Wrong Marks : 1
A particle moves such that its position vector (t) = cos?ti + sin?tj where ? is a constant and t is time. Then which of the following statements is true for the velocity v(t) and acceleration a(t) of the particle :
Options:
- v and a both are parallel to r
- v and a both are perpendicular to r
- v is perpendicular to r and a is directed towards the origin
- v is perpendicular to r and a is directed away from the origin
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Question Number: 2 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
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? ? ? ? ? ? ? r(t) = cos?ti + sin?tj ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? v(t) ? ? ? a(t) ? ? ? ? ? ? ? ? ? ? ?
Options:
- v ? a ? ? r ? ? ?
- v ? a ? ? r ? ? ?
- v ? ? r ? ? a ? ? ? ? ? ? ?
- v ? ? r ? ? a ? ? ? ? ? ? ? ? ?
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Question Number : 2 Question Type : MCQ Option Shuffling : Yes
Correct Marks: 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? r(t) = cost i + sinot) ?. ? w ? ? ? t ? ? ?. ? ? ? v (k) ? ? a(t) ? ? ? ? ? ?
Options:
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- v ? ã ? 7 ? ? ?.
- v ? ? ? 7 ? ? ?.
- v ?T ? ? ? ? ? ? ? ? ? ? ?.
- v ? 7 ? ? ? ? ? ? ? ? ? ? ? ? ?.
Question Number: 3 Question Type: MCQ Option Shuffling: Yes
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Correct Marks: 4 Wrong Marks : 1A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of v2gh. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of v(h/g) is:
Options:
- 1/2
- v(3/2)
- v(3/4)
- v(1/2)
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Question Number: 3 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
m ? ? ? ? ? ? ? h ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? v2gh ? ? ? ? ? ? ? ? ? ? ?-? (head-on) ? ? ? ? ? ? ? ? ? ? ? v(h/g) ? ? ? ? ? ? ? ? ? ? ? ? :
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Options:
- 1/2
- v(3/2)
- v(3/4)
- v(1/2)
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Question Number : 3 Question Type : MCQ Option Shuffling : Yes
Correct Marks: 4 Wrong Marks : 1
? ? h ? ? ? ? m ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? v2gh ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, v(h/g) ? ?, ?.
Options:
- 1/2
- v(3/2)
- v(3/4)
- v(1/2)
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Question Number : 4 Question Type : MCQ Option Shuffling : Yes
Correct Marks : 4 Wrong Marks : 1
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As shown in fig. when a spherical cavity (centred at O) of radius 1 is cut out of a uniform sphere of radius R (centred at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e on the surface of the cavity. R can be determined by the equation :
Options:
- (R²+R-1) (2-R) =1
- (R²-R+1) (2-R)=1
- (R²+R+1) (2-R) =1
- (R²-R-1) (2-R) =1
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Question Number: 4 Question Type: MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
? ? ? ? R ? ? ? ? ? ? (? ? ? C ? ?) 1 ? ? ? ? (cavity) ? ? ? (? ? ? O ? ?) ? ? ? ? (?) ? ? ? G ? (? ? ? ? ? ? ?) ? ? ? R ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Options:
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- (R²+R-1) (2-R) =1
- (R²-R+1) (2-R)=1
- (R²+R+1) (2-R) =1
- (R²-R-1) (2-R) =1
Question Number : 4 Question Type : MCQ Option Shuffling: Yes
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Correct Marks: 4 Wrong Marks : 1? R ? ? ? ? (? ? C ? ?) ? 1 ? ? ? ? (?) (? ? ? ?) ? ? ? ? ? ? ? ? ? ? ? ? (? ?) ? ? ? G ? ?, ? ?, ? (?) ? ? ? ?. R ? ? ? ?.
Options:
- (R²+R-1) (2-R) =1
- (R²-R+1) (2-R)=1
- (R²+R+1) (2-R)=1
- (R²-R-1) (2-R) =1
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Question Number: 5 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is:
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Options:
- 6.25×10?4 J
- 1.13×10?³ J
- 8.75×10?4 J
- 8.75×10?³ J
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Question Number: 5 Question Type: MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
500 g ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? (rolls without slipping) ? ? ? ? ? ? 5.00 cms?¹ ? ? ? ? ? ? :
Options:
- 6.25×10?4 J
- 1.13×10?³ J
- 8.75×10?4 J
- 8.75×10?³ J
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Question Number: 5 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
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500 g ? ? ? ? ? ? 5.00 cms?¹ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ?.
Options:
- 6.25×10?4 J
- 1.13×10?³ J
- 8.75×10?4 J
- 8.75×10?³ J
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Question Number : 6 Question Type : MCQ Option Shuffling: Yes
Correct Marks: 4 Wrong Marks : 1
Two liquids of densities p1 and p2(P2=2P1) are filled up behind a square wall of side 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN to that at the lower part NO is (Assume that the liquids are not mixing) :
Options:
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- 2/3
- 1/2
- 1/3
- 1/4
Question Number : 6 Question Type : MCQ Option Shuffling: Yes
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Correct Marks: 4 Wrong Marks : 1? ? p1 ? p2 (p2=2p1) ? ? ? 10 m ? ? ? ? ? ? ? ? ? ? (? ?)? ? ? ? ? 5m ? ? ? ? ? ? ? ? ? MN ? ? ? NO ? ? ? ? ? ? ? (? ? ? ? ? ? ? ? ?)
Options:
- 2/3
- 1/2
- 1/3
- 1/4
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Question Number: 6 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
? ? ? 10 m ? ? ? ? p2 ? p2 (p2 = 2py ) ? ? ? ? ? ? ?. ? ? ? 5 m ?. ? ? ? ? MN ? ? ? NO ? ? ? ? ?. (? ? ? ? ? ?)
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Options:
- 2/3
- 1/2
- 1/3
- 1/4
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Question Number : 7 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
If a carnot engine haveing almofficiency of 1/10 is being used as a refrigerator. If the work done on the refrigerator is 10 J, the amount of heat absorbed from the reservoir at lower temperature is :
Options:
- 100 J
- 99 J
- 90 J
- 1 J
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Question Number : 7 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
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? ? ? ? ? (efficiency) 1/10 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 10J ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
- 100 J
- 99 J
- 90 J
- 1 J
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Question Number: 7 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
? ? ? 1/10 ? ? ?, ? ? ? ? ? ?. ? ? ? ? ? 10 J ? ? ? ? ? ? ? ? ? ?.
Options:
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- 100 J
- 99 J
- 90 J
- 1 J
Question Number: 8 Question Type : MCQ Option Shuffling: Yes
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Correct Marks : 4 Wrong Marks : 1Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its Cp/Cv value will be :
Options:
- 67/45
- 23/15
- 19/13
- 40/27
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Question Number: 8 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
? ? ? n ? ? ? ? (? ? ? ? ?) ? 2n ? ? ? ? ? ? ? ? ? ? ? ? Cp/Cv ? ? ? :
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Options:
- 67/45
- 23/15
- 19/13
- 40/27
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Question Number: 8 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
n ? ? He ? ? 2n ? ? ? ? (? ? ? ?) ? ? ? ? ?. ? Cp/Cy ? ? ?.
Options:
- 67/45
- 23/15
- 19/13
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Question Number: 9 Question Type : MCQ Option Shuffling: Yes
Correct Marks: 4 Wrong Marks : 1
A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06×104 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to:
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Options:
- 2.50 × 104 N
- 5.15×10³ N
- 30.5×104 N
- 10.2×10² N
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Question Number : 9 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? 2.06 × 104 N ? ? ? ? ? ? ? ? ? ? ? v ? ? ? ? ? ? T ? ? ? ? ? ? ? ? v/2 ? ? ? T ? ? ? ? ? ? ? ?
Options:
- 2.50×104 N
- 5.15 × 10³ N
- 30.5×104 N
- 10.2×10² N
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Question Number: 9 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
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? ? ? ? ? 2.06 × 104 N ? ? ? ? ? ? ? ? 0 ?. ? ? ? T ? ? ? ? ? ? 1/2 ? ?. T ? ? ? ? ?.
Options:
- 2.50 × 104 N
- 5.15×10³ N
- 30.5×104 N
- 10.2×10² N
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Question Number : 10 Question Type : MCQ Option Shuffling : Yes
Correct Marks : 4 Wrong Marks : 1
Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2 (on S2) on their surfaces are such that E1/E2=R1/R2. Then the ratio V1(on S1)/V2(on S2) of the electrostatic potentials on each sphere is :
Options:
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- R1/R2
- (R1/R2)²
- (R1/R2)^3
- (R2/R1)
Question Number : 10 Question Type : MCQ Option Shuffling : Yes
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Correct Marks : 4 Wrong Marks : 1? ? ? ? ? ? S1 ? S2, ? ? ? R1 ? R2 ? ? ? ? ? ? ? ? ? E1 (S1 ?) ? E2 (S2 ?) ? ? ? E1/E2 = R1/R2 ? ? ? ? ? ? V1 (S1 ?) ? V2 (S2?) ? ? V1/V2 ? :
Options:
- R1/R2
- (R1/R2)²
- (R1/R2)^3
- (R2/R1)
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Question Number : 10 Question Type : MCQ Option Shuffling : Yes
Correct Marks : 4 Wrong Marks : 1
?. ? ? ? ? ? ? S1 ? S2 ?. ? ? S1 ? E1 ? S2 ? ? E2 ? ? ? ? ? E1/E2=R1/R2 ?. ? ? ? ? ? ? ? ? V2(S1?)/ V2(S2?) ?.
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Options:
- R1/R2
- (R1/R2)²
- (R1/R2)^3
- (R2/R1)
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Question Number : 11 Question Type : MCQ Option Shuffling : Yes
Correct Marks: 4 Wrong Marks : 1
A capacitor is made of two square plates each of side 'a' making a very small angle a between them, as shown in figure. The capacitance will be close to :
Options:
- e0a²/d (1 - 3aa/2d)
- e0a²/d (1 - aa/2d)
- e0a²/d (1 + aa/d)
- e0a²/d (1 - aa/4d)
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Question Number : 11 Question Type : MCQ Option Shuffling : Yes
Correct Marks: 4 Wrong Marks : 1
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? ? ? ? ? (? a×a) ? ? ? ? ? ? ? ? ? ? '' ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Options:
- e0a²/d (1 - 3aa/2d)
- e0a²/d (1 - aa/2d)
- e0a²/d (1 + aa/d)
- e0a²/d (1 - aa/4d)
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Question Number : 11 Question Type : MCQ Option Shuffling : Yes
Correct Marks: 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? 'a' ?. ? ? ? ? ? ? ? a ?. ? (capacitance) ? ? ?.
Options:
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- e0a²/d (1 - 3aa/2d)
- e0a²/d (1 - aa/2d)
- e0a²/d (1 + aa/d)
- e0a²/d (1 - aa/4d)
Question Number : 12 Question Type : MCQ Option Shuffling : Yes
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Correct Marks : 4 Wrong Marks : 1Long wire ABDMNDE is shown in figure carrying current I. AB and BC are straight, long and at right angle. At D wire forms a circular turn DMND of radius R. AB, BC parts are tangential to circular turn at N and D. Magnetic field at the centre of circle is :
Options:
- (µ0I/2pR) (p + 1/v2)
- (µ0I/2pR) (p - 1/v2)
- µ0I/2R
- (µ0I/2pR) (p + 1)
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Question Number : 12 Question Type : MCQ Option Shuffling : Yes
Correct Marks : 4 Wrong Marks : 1
? ABDMNDC ? ? ? ? ? ? ? ? ? 1 ? ? ? ? ? ? AB ? BC ? ? ? ? ? ? ? ? ? ? D ? ? ? ? R ? ? ? ? DMND ? ? ? ? ? AB ? BC ? ? ? ? ? N ? D ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
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Options:
- (µ0I/2pR) (p + 1/v2)
- (µ0I/2pR) (p - 1/v2)
- µ0I/2R
- (µ0I/2pR) (p + 1)
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Question Number : 13 Question Type : MCQ Option Shuffling : Yes
Correct Marks : 4 Wrong Marks : 1
? ? ?. AB ? BC ? ?, ? ? ? ? ?. D ? ? R ? ? ? DMND ? ? ?. AB ? BC ? ? ? N ? D ? ? ?. ? ? ? ? ? ?.
Options:
- (µ0I/2pR) (p + 1/v2)
- (µ0I/2pR) (p - 1/v2)
- µ0I/2R
- (µ0I/2pR) (p + 1)
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Question Number : 13 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
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A particle of mass m and charge q is released from rest in a uniform electric field E. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale)
Options:
- v ? x
- v ? vx
- v ? x^(3/2)
- v ? x^(1/2)
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Question Number : 13 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
m ? ? ? ? ?, ? ? ? q ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? v ? ? ? ? ? ? x ? ? ? ? ? ? ? ? ? ? ? ? (? ? ?)
Options:
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- v ? x
- v ? vx
- v ? x^(3/2)
- v ? x^(1/2)
Question Number: 13 Question Type : MCQ Option Shuffling: Yes
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Correct Marks : 4 Wrong Marks : 1m ? ? q ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ? x ? ? ? ?. (? ? ? ? ? ? ? ?)
Options:
- v ? x
- v ? vx
- v ? x^(3/2)
- v ? x^(1/2)
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Question Number : 14 Question Type : MCQ Option Shuffling: Yes
Correct Marks : 4 Wrong Marks : 1
As shown in the figure, a battery of emf e is connected to an inductor L and resistance R in series. The switch is closed at t=0. The total charge that flows from the battery, between t=0 and t=t (t is the time constant of the circuit) is :
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Options:
- eL/eR²
- eR/eL²
- eL/R²
- eL/R² (1 - 1/e)
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Question Number : 14 Question Type : MCQ Option Shuffling : Yes
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