Question Paper Name: Paper I EHG 9th April 2019 Shift 2
Subject Name: Paper I EHG
Creation Date: 2019-04-09 18:48:11
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Duration: 180
Total Marks: 360
Display Marks: Yes
Paper I
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Group Number: 1
Group Id: 416529155
Group Maximum Duration: 0
Group Minimum Duration: 180
Revisit allowed for view?: No
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Revisit allowed for edit?: No
Break time: 0
Group Marks: 360
Physics
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Section Id: 416529259
Section Number: 1
Section type: Online
Mandatory or Optional: Mandatory
Number of Questions: 30
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Number of Questions to be attempted: 30
Section Marks: 120
Display Number Panel: Yes
Group All Questions: No
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Sub-Section Number: 1
Sub-Section Id: 416529399
Question Shuffling Allowed: Yes
Question Number: 1 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
The area of a square is 5.29 cm². The area of 7 such squares taking into account the significant figures is:
Options:
- 37.03 cm²
- 37.0 cm²
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- 37 cm²
- 37.030 cm²
Question Number: 1 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
? ? ? ? 5.29 cm² ? ? ? ? ? ? ? ? ? ? ? :
Options:
- 37.03 cm²
- 37.0 cm²
- 37 cm²
- 37.030 cm²
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Question Number: 1 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
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? ? ? 5.29 cm2 ?. ? ? ? ? ? ? 7 ? ? ? :
Options:
- 37.03 cm²
- 37.0 cm²
- 37 cm²
- 37.030 cm²
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Question Number: 2 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
The position of a particle as a function of time t, is given by
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x(t) = at+bt²-ct³
where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be:
Options:
- a + b²/4c
- a + b²/3c
- a + b²/2c
- a + b²/c
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Question Number: 2 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
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? ? ? ? ? '?' ? ? ? ? ? :
x(t) = at + bt²-ct³
? a, b ? c ? ? ? ? ? ? ? ?, ? ? ? ? :
Options:
- a + b²/4c
- a + b²/3c
- a + b²/2c
- a + b²/c
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Question Number: 2 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
? ? ? ? ? ? 1 ? ? ? x(t) = at + bt²- ct² ? ? ?; ? a, b ? c ? ?. ? ? ? ? ? ? ? ? ? ?.
Options:
Question Number: 3 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
The position vector of a particle changes with time according to the relation
r(t) = 15t² i + (4-20t²) j. What is the magnitude of the acceleration at t = 1?
Options:
- 25
- 40
- 50
- 100
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Question Number: 3 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
? ? ? ?-? ? ? ? ? ? ? ? ?,
r(t) = 15t² i + (4-20t²) j;
t=1 ? ? ? ? ? ? ? :
Options:
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- 25
- 40
- 50
- 100
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Question Number: 3 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? ? ? ? ?
r(t) = 15t² i + (4-20t²) j; ? ? ? ? ?. t=1 ? ? ? ? :
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Options:
- 25
- 40
- 50
- 100
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Question Number: 4 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
A particle of mass 'm' is moving with speed '2v' and collides with a mass '2m' moving with speed 'v' in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass 'm', which move at angle 45° with respect to the original direction.
The speed of each of the moving particle will be:
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Options:
- 2v2 v
- v/v2
- v2 v
- v/(2v2)
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Question Number: 4 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? 'm' ? ? ? ? '2v' ? ? ? ? ? '2m' ? ? ? ? ? ? ? 'v' ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 'm' ? ? ? ? ? ? ? ? ? ? ? ? ? ? 45° ? ? ? ? ?:
? ? ? ? ? ? ? ? :
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Options:
- 2v2 v
- v/v2
- v2 v
- v/(2v2)
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Question Number: 4 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? 'm' ? ? ? '2v' ? ? ? ? ? ? ? ? ? ? ? ? ? '2m' ? ? ? 'v' ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? ? ? 'm' ? ? ? ? ? ? 45° ? ? ? ? ? :
? ? ? ? ?.
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Options:
- 2v2 v
- v/v2
- v2 v
- v/(2v2)
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Question Number: 5 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
A wedge of mass M=4m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v. There is no friction between the particle and the plane or between the particle and the wedge. The maximum height climbed by the particle on the wedge is given by :
Options:
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- v²/2g
- 2v²/5g
- 2v²/7g
- v²/8g
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Question Number: 5 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
M = 4m ? ? ? ? (wedge) ? ? ? ? ? ? ? ? ? m ? ? ? ? ? ? ?, v ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
- v²/2g
- 2v²/5g
- 2v²/7g
- v²/8g
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Question Number: 5 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
? ? ? ? M = 4m ? ? ? ? ? ?. ? m ? ? ? v ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ?.
Options:
- v²/2g
- 2v²/5g
- 2v²/7g
- v²/8g
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Question Number: 6 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
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Moment of inertia of a body about a given axis is 1.5 kg m². Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the angular acceleration of 20 rad/s² must be applied about the axis for a duration of :
Options:
- 5 s
- 3 s
- 2 s
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Question Number: 6 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? ? ? ? ? ? ? ? 1.5 kg m² ? ? ? ? ? ? ? 1200 J ? ? ? ? ? ? ? ?, ? ? ? ? 20 rad/s² ? ? ? ? ? ? ? ? ?
Options:
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- 5 s
- 3 s
- 2 s
- 2.5 s
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Question Number: 6 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? ? ? ? 1.5 kg m² ?. ? ? ? ?. 1200 J ? ? ? ? ? ? ? ? ? ? ? ? ? 20 rad/s2 ? ? ? ?
Options:
- 5 s
- 3 s
- 2 s
- 2.5 s
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Question Number: 7 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
A thin rod of length L and mass M is rotating freely with angular speed ?0 about an axis perpendicular to the rod and passing through its center. Two beads of mass m and negligible size are at the center of the rod initially. The beads are free to slide along the rod. The angular speed of the system, when the beads reach the opposite ends of the rod, will be :
Options:
- M?0 / M+6m
- M?0 / M+2m
- M?0 / M+3m
- M?0 / M+m
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Question Number: 7 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
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? M ? ? L ? ? ? ? ? ? ?0 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? m ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? :
Options:
- M?0 / M+6m
- M?0 / M+2m
- M ?0 / M + 3m
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Question Number: 7 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? L ? ? M ? ? ? ? ? ? ?0 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?. m ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? :
Options:
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- M?0 / M+6m
- M?0 / M+2m
- M?0 / M+3m
- M?0 / M+m
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Question Number: 8 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
A test particle is moving in a circular orbit in the gravitational field produced by a mass density p(r) = K/r². Identify the correct relation between the radius R of the particle's orbit and its period T :
Options:
- T²/R³ is a constant
- T/R² is a constant
- TR is a constant
- T/R is a constant
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Question Number: 8 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
? ? ? ? ? p(r) = K/r² ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? R ? ? ? T ? ? ? ? ? :
Options:
- T²/R³ ? ?
- T/R² ? ?
- TR ? ?
- T/R ? ?
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Question Number: 8 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
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? ? ? ? ?, p(r) = K/r² ? ? ? ? ? ? ? ? ? ? ? ? ?. ? R ? ? T ? ? ? ?.
Options:
- T²/R³ ? ? ?.
- T/R² ? ? ?.
- TR ? ? ?.
- T/R ? ? ?.
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Question Number: 9 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
A block floating in a bucket of water has 4/5 of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is :
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Options:
- 0.6
- 0.5
- 0.7
- 0.8
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Question Number: 9 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? ?, ? ? ? ? ? ? ? 4/5 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
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- 0.6
- 0.5
- 0.7
- 0.8
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Question Number: 9 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? :
Options:
- 0.6
- 0.5
- 0.7
- 0.8
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Question Number: 10 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
Two materials having coefficients of thermal conductivity '3K' and 'K' and thickness 'd' and '3d', respectively, are joined to forma slab as shown in the figure. The temperatures of the outer surfaces are '?2' and '?1' respectively, (?2 > ?1). The temperature at the interface is :
?2 3K d K 3d ?1
Options:
- (?1 + 5?2)/6
- (?2 + ?1)/2
- (?1 + 2?2)/3
- (?1/10) + (9?2/10)
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Question Number: 10 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
? ? ?, '3K' ? 'K' ? ? ? ?, ? 'd' ? '3d' ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? '?2' ? '?1' ? (?2 > ?1)? ? ? ? ? :
?2 3K d K 3d ?1
Options:
- (?1 + 5?2)/6
- (?2 + ?1)/2
- (?1 + 2?2)/3
- (?1/10) + (9?2/10)
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Question Number: 10 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 4 Wrong Marks: 1
'K' ? '3K' ? ? ? ? ? ? 'd' ? '3d' ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? '?2' ? '?1' ?, (?2 > ?1). ? ? ? ?.
?2 3K d K 3d ?1
Options:
- (?1 + 5?2)/6
- (?2 + ?1)/2
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Question Number: 11 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
A massless spring (k = 800 N/m), attached with a mass (500g) is completely immersed in 1 kg of water. The spring is stretched by 2 cm and released so that it starts vibrating. What would be the order of magnitude of the change in the temperature of water when the vibrations stop completely ? (Assume that the water container and spring receive negligible heat and specific heat of mass = 400 J/kg K, specific heat of water =4184 J/kg K)
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Options:
- 10?5 K
- 10?¹ K
- 10?³ K
- 10?4 K
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Question Number: 11 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
500 g ? ? ? ? ? ? ? (k=800 N/m) ? 1 kg ? ? ? ? ? ? ? ? 2 cm ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? : (? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? = 400 J/kg K, ? ? ? ? = 4184 J/kg K)
Options:
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Question Number: 11 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? (k= 800 N/m) ? 500 g ? ? ? 1 kg ? ? ? ? ?. ? ? ? ? ? ? ? ? 2 cm ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? (? ? ? ? ? ? ? ? ? ? ?.)
? ? ? ? = 400J/kg K, ? ? ? = 4184 J/kg K :
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Options:
- 10?5 K
- 10?¹ K
- 10?³ K
- 10?4 K
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Question Number: 12 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
The specific heats, Cp and Cv of a gas of diatomic molecules, A, are given (in units of J mol?¹K?¹) by 29 and 22, respectively. Another gas of diatomic molecules, B, has the corresponding values 30 and 21. If they are treated as ideal gases, then :
Options:
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Question Number: 12 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? A ? ? ? ? ? (Jmol?¹K?¹ ? ? ?) Cp ? Cv, ?, 29 ? 22 ? ? ? ? B ? ? ? ? ? ? 30 ? 21 ? ? ? ? ? ? ? ? :
Options:
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- A ? ? ? ? ? ? B ? ? ? ? ? ?
- A ? B ? ? ?-? ? ? ?
- A ? ? ? ? ? B ? ? ? ? ?
- A ? ? ? B ? ? ? ? ?
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Question Number: 12 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
? ? ? ? A ? ? ? Cp ? Cy (J mol?¹K?¹ ? ? ?) ? 29 ? 22 ?. ? ?-? ? ? B ? ? ? 30 ? 21 ?. ? ? ? ? ? ? ? ?
Options:
- A ? ?-? (?) ? ? B ? ?.
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Question Number: 13 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1
A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is :
Options:
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