Download JEE-Main 2020 B.Tech E 6th Sep 2020 Shift 1 Question Paper

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National Testing Agency

Question Paper Name : BTECH E 6th Sep 2020 Shift 1

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Subject Name : BTECH E
Creation Date : 2020-09-06 13:49:32
Duration : 180
Total Marks : 300
Display Marks: Yes

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Share Answer Key With Delivery Engine : Yes
Actual Answer Key : Yes

BTECH

Group Number : 1
Group Id : 405036126

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Group Maximum Duration : 0
Group Minimum Duration : 180
Show Attended Group? : No
Edit Attended Group? : No
Break time: 0

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Group Marks : 300
Is this Group for Examiner? : No

Physics

Section Id: 405036418
Section Number : 1

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Section type : Online
Mandatory or Optional : Mandatory
Number of Questions : 25
Number of Questions to be attempted : 25
Section Marks : 100

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Display Number Panel : Yes
Group All Questions : Yes
Mark As Answered Required? : Yes
Sub-Section Number : 1
Sub-Section Id : 405036803

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Question Shuffling Allowed: Yes

Question Number : 1 Question Id : 40503611456 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory: No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms^-2) is of the order of :

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Options:

40503641541. 10^-1

40503641542. 10^-3

40503641543. 10^-4

40503641544. 10^-2

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Question Number : 1 Question Id : 40503611456 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? ? ? 0.1 m ? ? ? ? ? ? ? ? ? ? (ms^-2 ? ? ?) ? ? ? ?:

Options:

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40503641541. 10^-1

40503641542. 10^-3

40503641543. 10^-4

40503641544. 10^-2

Question Number : 2 Question Id : 40503611457 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

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Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it is at height h from the bottom. If the coefficient of friction between the ground and the insect is 0.75, then h is : (g = 10 ms^-2)

Options:

40503641545. 0.45 m

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40503641546. 0.20 m

40503641547. 0.60 m

40503641548. 0.80 m

Question Number : 2 Question Id : 40503611457 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical

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Correct Marks : 4 Wrong Marks : 1
1m ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? h ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 0.75 ?, ? h ? ? ? : (g = 10 ms^-2)

Options:

40503641545. 0.45 m

40503641546. 0.20 m

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40503641547. 0.60 m

40503641548. 0.80 m

Question Number : 3 Question Id : 40503611458 Question Type : MCQ Option Shuffling: Yes Display Question Number: Yes Is Question Mandatory No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1

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Four point masses, each of mass m, are fixed at the corners of a square of side l. The square is rotating with angular frequency ?, about an axis passing through one of the corners of the square and parallel to its diagonal, as shown in the figure. The angular momentum of the square about this axis is:

Options:

40503641549. ml²?

40503641550. 3 ml²?

40503641551. 2 ml²?

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40503641552. 4 ml²?

Question Number : 3 Question Id : 40503611458 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ?, ? ? ? ? m ?, ? l ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :

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Options:

40503641549. ml²?

40503641550. 3 ml²?

40503641551. 2 ml²?

40503641552. 4 ml²?

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Question Number : 4 Question Id : 40503611459 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
Shown in the figure is a hollow icecream cone(it is open at the top). If its mass is M, radius of its top, R and height, H, then its moment of inertia about its axis is:

Options:

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40503641553. MR²/2

40503641554. MH²/3

40503641555. MR²/3

40503641556. M(R²+H²)/4

Question Number : 4 Question Id : 40503611459 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

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Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? ? (? ? ? ? ?)? ? ? ? M, ? ? ? ? R, ? ?, H ?, ? ? ? ? ? ? ? ? :

Options:

40503641553. MR²/2

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40503641554. MH²/3

40503641555. MR²/3

40503641556. M(R²+H²)/4

Question Number : 5 Question Id : 40503611460 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical

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Correct Marks : 4 Wrong Marks : 1
A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is :

Options:

40503641557. 1:6

40503641558. 1:3

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40503641559. 1:2

40503641560. 3:4

Question Number : 5 Question Id : 40503611460 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1

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? ? ? ? P ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? 6 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :

Options:

40503641557. 1:6

40503641558. 1:3

40503641559. 1:2

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40503641560. 3:4

Question Number : 6 Question Id : 40503611461 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
An object of mass m is suspended at the end of a massless wire of length L and area of cross-section, A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

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Options:

40503641561. f = 1/(2p) v(mA/YL)

40503641562. f = 1/(2p) v(mL/YA)

40503641563. f = 1/(2p) v(YA/mL)

40503641564. f = 1/(2p) v(YL/mA)

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Question Number : 6 Question Id : 40503611461 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
m ? ? ? ? ?, ? L ? ? ? ? A ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Y ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :

Options:

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40503641561. f = 1/(2p) v(mA/YL)

40503641562. f = 1/(2p) v(mL/YA)

40503641563. f = 1/(2p) v(YA/mL)

40503641564. f = 1/(2p) v(YL/mA)

Question Number : 7 Question Id : 40503611462 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

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Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of T. The total internal energy, U of a mole of this gas, and the value of ? (C_p/C_v) are given, respectively, by:

Options:

40503641565. U=5RT and ?=6/5

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40503641566. U=5/2 RT and ?=6/5

40503641567. U=5/2 RT and ?=7/5

40503641568. U=5RT and ?=7/5

Question Number : 7 Question Id : 40503611462 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical

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Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? T ? ? ? ? ? ? ? ? ? ? ? ? ? ? U ? (C_p/C_v) ? ? ? ? :

Options:

40503641565. U=5RT ? ?=6/5

40503641566. U=5/2 RT ? ?=6/5

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40503641567. U=5/2 RT ? ?=7/5

40503641568. U=5RT ? ?=7/5

Question Number : 8 Question Id : 40503611463 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1

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If the potential energy between two molecules is given by U = A/r⁶ + B/r¹² then at equilibrium, separation between molecules, and the potential energy are:

Options:

40503641569. (2B/A)^1/6, -A²/4B

40503641570. (2B/A)^1/6, -A²/2B

40503641571. (B/A)^1/6, 0

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40503641572. (B/2A)^1/6, -A²/2B

Question Number : 8 Question Id : 40503611463 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? ? ? ? ? ? ? ? ? ? U = -A/r⁶ + B/r¹² ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? :

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Options:

40503641569. (2B/A)^1/6, -A²/4B

40503641570. (2B/A)^1/6, -A²/2B

40503641571. (B/A)^1/6, 0

40503641572. (B/2A)^1/6, -A²/2B

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Question Number : 9 Question Id : 40503611464 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
A sound source S is moving along a straight track with speed v, and is emitting sound of frequency v_o (see figure). An observer is standing at a finite distance, at the point O, from the track. The time variation of frequency heard by the observer is best represented by : (t_o represents the instant when the distance between the source and observer is minimum)

Options:

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40503641573.

40503641574.

40503641575.

40503641576.

Question Number : 9 Question Id : 40503611464 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

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Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ? S, v ? ? ? ? ? ? ? ? ? ? v_o ? ? ? ? ? ? ? (? ?)? ? ? ? O ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? : (t_o ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?)

Options:

40503641573.

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40503641574.

40503641575.

40503641576.

Question Number : 10 Question Id : 40503611465 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical

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Correct Marks : 4 Wrong Marks : 1
Charges Q₁ and Q₂ are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at point O is perpendicular to the hypotenuse, then Q₁/Q₂ is proportional to:

Options:

40503641577. x₁/x₂

40503641578. x₂/x₁

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40503641579. (x₁/x₂)^3/2

40503641580. (x₂/x₁)^2/2

Question Number : 10 Question Id : 40503611465 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1

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? ? OAB ? ? A ? B ? ? Q₁ ? Q₂ ? ? (? ?)? ? ? O ? ? ? ? ? ? ? ? ? ? ? Q₁/Q₂ ? ? ? ?

Options:

40503641577. x₁/x₂

40503641578. x₂/x₁

40503641579. (x₁/x₂)^3/2

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40503641580. (x₂/x₁)^2/2

Question Number : 11 Question Id : 40503611466 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
For the given input voltage waveform Vin(t), the output voltage waveform V_o(t), across the capacitor is correctly depicted by:

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Options:

40503641581.

40503641582.

40503641583.

40503641584.

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Question Number : 11 Question Id : 40503611466 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ? ? Vin(t) ? ? ? ? ? ? ? ? ? V_o(t) ? ? ? ? ? ? :

Options:

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40503641581.

40503641582.

40503641583.

40503641584.

Question Number : 12 Question Id : 40503611467 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

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Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
A particle of charge q and mass m is moving with a velocity -vî (v?0) towards a large screen placed in the Y-Z plane at a distance d. If there is a magnetic field B = B_ok, the minimum value of v for which the particle will not hit the screen is:

Options:

40503641585. qdB_o/m

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40503641586. qdB_o/2m

40503641587. 2qdB_o/m

40503641588. qdB_o/3m

Question Number : 12 Question Id : 40503611467 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical

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Correct Marks : 4 Wrong Marks : 1
? q ? ? m ? ? ? Y-Z ? ? d ? ? ? ? ? ? -vî (v?0) ? ? ? ? ? ? ? ? ? B = B_ok ? ? ?, v ? ? ? ? ? ? ? ? ? ? ? ?

Options:

40503641585. qdB_o/m

40503641586. qdB_o/2m

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40503641587. 2qdB_o/m

40503641588. qdB_o/3m

Question Number : 13 Question Id : 40503611468 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1

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An electron is moving along + x direction with a velocity of 6 × 10⁶ ms^-1. It enters a region of uniform electric field of 300 V/cm pointing along + y direction. The magnitude and direction of the magnetic field set up in this region such that the electron keeps moving along the x direction will be :

Options:

40503641589. 5×10^-3 T, along + z direction

40503641590. 5×10^-3 T, along -z direction

40503641591. 3×10^-4T, along - z direction

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40503641592. 3×10^-4T, along + z direction

Question Number : 13 Question Id : 40503611468 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
? ? +x ? ? 6 × 10⁶ ms^-1 ? ? ? ? ? ? ? + y ? ? ? ? 300 V/cm ? ? ? ? ? ? ? ? ? ? ? x ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :

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Options:

40503641589. 5×10^-3 T, + z ? ?

40503641590. 5×10^-3 T, - z ? ?

40503641591. 3×10^-4T, - z ? ?

40503641592. 3×10^-4T, + z ? ?

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Question Number : 14 Question Id : 40503611469 Question Type : MCQ Option Shuffling : Yes Display Question Number : Yes Is Question Mandatory : No Single Line Question Option : No Option

Orientation: Vertical
Correct Marks : 4 Wrong Marks : 1
An AC circuit has R = 100 O, C=2 µF and L= 80 mH, connected in series. The quality factor of the circuit is:

Options:

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40503641593. 400

40503641594. 20

40503641595. 2

40503641596. 0.5

Question Number : 14 Question Id : 40503611469 Question Type : MCQ Option Shuffling : Yes Display Question Number: Yes Is Question Mandatory : No Single Line Question Option : No Option

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Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
? AC ? ? R=100 O, C=2 µF ? L=80 mH ? ? ? ? ? ? ? ? ? ? :

Options:

40503641593. 400

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40503641594. 20

40503641595. 2

4

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