Question Paper Name: Paper I EHG 10th Jan 2019 Shift 1
Subject Name: Paper I EHG
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Creation Date: 2019-01-10 14:07:57
Duration: 180
Total Marks: 360
Display Marks: Yes
Paper I
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Group Number : 1
Group Id : 416529118
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
Section Id : 416529136
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Section Number : 1
Section type : Online
Mandatory or Optional: Mandatory
Number of Questions: 30
Number of Questions to be attempted: 30
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Section Marks: 120
Display Number Panel: Yes
Group All Questions: No
Sub-Section Number: 1
Sub-Section Id: 416529145
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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
Correct Marks : 4 Wrong Marks : 1
The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is:
Options:
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1. 40
3. 640
4. 16
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
SI ? ? ? ? ? ? 128 kg m-3 ?
? ? ? ?, ? ? ? ? 25 cm ? ? ? ? 50 g ?, ? ? ? ? ? ? ? ? :
Options:
1. 40
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2. 410
3. 640
4. 16
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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SI ? ? ? ? ? 128 kg m-3 ?. ? ? ? ? ? ? ? ? 25 cm ? ? ? 50 g ?, ? ? ? ? ? :
Options:
1. 40
2. 410
3. 640
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4. 16
Question Number: 2 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is :
Options:
1. 1:2
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2. 1:16
3. 1:8
4. 1:4
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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? ? A ? B ? ? ? ? 1 km/s ? 2 km/s ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
1. 1:2
2. 1:16
3. 1:8
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4. 1:4
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
? ? A ? B ? ?: 1 km/s ? 2 km/s ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? ? :
Options:
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1. 1:2
3. 1:8
4. 1:4
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
In the cube of side 'a' shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be:
Options:
1. 1/2 a (i - k)
2. 1/2 a (i + k)
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3. 1/2 a (j - i)
4. 1/2 a (j + k)
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
? ? ? ? 'a' ? ? ABOD ? ? ? ? BEFO ? ? ? ? ? ? ? :
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Options:
1. 1/2 a (i - k)
2. 1/2 a (i + k)
3. 1/2 a (j - i)
4. 1/2 a (j + k)
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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
a ? ? ?, ? (?) ABOD ? ? ? ? BEFO ? ? ? (? ? ?) ? ? ? :
Options:
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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 piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is fired vertically upward, with a velocity 100 ms-1, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is: (g = 10ms-2)
Options:
1. 40 m
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2. 30 m
3. 20 m
4. 10 m
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
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100 m ? ? ? ? ? ? ? ? ? ? 0.02 kg ? ? ? ? ? ? ? 100 ms-1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? : (? ? g = 10 ms-2)
Options:
1. 40 m
2. 30 m
3. 20 m
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4. 10 m
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
? 100 m ? ? ? ? ? 0.03 kg ? ? ? ? ? ? ? ? ?. ? ? ?, 0.02 kg ? ? ? (?) ? ? ? ? ? ? 100 ms-1 ? ? ? ? ? ?. ? ? ? ? ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? (g=10 ms-2)
Options:
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1. 40 m
2. 30 m
3. 20 m
4. 10 m
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 ? ? ? ? ? ? ? ? ? ? ? ? ? ? 8/2 ? ? ? ? ? ? ? ? ? ? ? ? ? ? (normal reaction) ? ? ? ? ? ? ? ? :
Options:
1. 3m g2t2/8
2. mg2t2/8
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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 ? ? ? ? ? ? ? ? ? ? g/2 ? ? ? ? ? ? ? ? ?. t ? ? ? (normal reaction) ? ? ? :
Options:
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1. 3m g2t2/8
2. mg2t2/8
3. mg2t2/8
4. 0
Question Number: 6 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 homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is:
Options:
1. 2F/3mR
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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
? M ? ? R ? ? ? ? ? ? ? ? ? ? ? ? ? F, ? ? ? ? ? ? ? ? ? ? ? ? ? ?, ? ? ? ? ? ? :
Options:
1. 2F/3mR
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2. 3F/2mR
3. F/3mR
4. F/2mR
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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R ? ? ? M ? ? ? ? ? ? ? ? ? ? ? ? ? F ? ? ? ? ?. ? ? ? ? ? ? ?, ? ? ? ? :
Options:
1. 2F/3mR
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
To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is distributed uniformly over the mop and if coefficient of friction between the mop and the floor is µ, the torque, applied by the machine on the mop is :
Options:
1. µFR/6
2. µFR/3
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3. µFR/2
4. 2/3 µFR
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
? ? ? ? ? ? ? ? ? ? ? R ? ? ? ? ? ? ? F ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? F ? ? ? ? ? ? ? ? ? ? ? ? µ ? ? ? ? ? ? ? ? ? ? :
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Options:
1. µFR/6
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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? ? ? ? ? ? R ? ? ? ? ? F ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? F ? ? ? ? ? ? ?, ? ? ? ? ? µ ? ? ? ? ? ? ? ? ? :
Options:
1. µFR/6
2. µFR/3
3. µFR/2
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4. 2/3 µFR
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 satellite is moving with a constant speed v in circular orbit around the earth. An object of mass 'm' is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic energy of the object is:
Options:
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1. 1/2 mv2
2. mv2
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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? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 'm' ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
1. 1/2 mv2
2. mv2
3. 3/2 mv2
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4. 2 mv2
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
? ? v ? ? ? ? ? ? ? ? ? ? ?. ? m ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?. ? ? ? ? ? ? ? :
Options:
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1. 1/2 mv2
2. mv2
3. 3/2 mv2
Question Number: 9 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
? ? ? ? ? ? ? ? 10-4 m³/s ? ? ? ? ? ? ? ? ? 1 cm² ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
1. 5.1 cm
2. 4 cm
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3. 2.9 cm
4. 1.7 cm
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
? ? ? ? ? ? ? 10-4 m³/s ? ? ? ?. ?, ? 1 cm² ? ? ? ? (?) ? ?. ? ? ? ? ? ? ? ? ? ? ? :
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Options:
1. 5.1 cm
2. 4 cm
3. 2.9 cm
4. 1.7 cm
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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
Question Number: 10 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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Three Carnot engines operate in series between a heat source at a temperature T1 and a heat sink at temperature T4 (see figure). There are two other reservoirs at temperature T2 and T3, as shown, with T1 > T2 > T3 > T4. The three engines are equally efficient if :
Options:
1. T2 = (T1T4)1/2; T3 = (T2T4)1/2
2. T2 = (T1T4)1/2; T3 = (T1T4)1/2
3. T2 = (T1T4)1/3; T3 = (T1T4)1/3
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4. T2 = (T1T4)1/4; T3 = (T1T4)1/4
Question Number: 10 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
? ? ? ? ? T1 ? ? ? ? ? ? ? T4 ? ? ? ? ? ? ? ? ? ? (? ?)? ? ? T2 ? T3 ? ? ? ? ? ? ? ? T1 > T2 > T3 > T4 ? ? ? ? ? ? ?, ? :
Options:
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1. T2 = (T1T4)1/2; T3 = (T2T4)1/2
2. T2 = (T1T4)1/2; T3 = (T1T4)1/2
3. T2 = (T1T4)1/3; T3 = (T1T4)1/3
4. T2 = (T1T4)1/4; T3 = (T1T4)1/4
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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 heat source at T = 10³ K is connected to another heat reservoir at T=10² K by a copper slab which is 1 m thick. Given that the thermal conductivity of copper is 0.1 WK?¹m?¹, the energy flux through it in the steady state is :
Options:
1. 90 Wm?²
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2. 120 Wm?²
3. 65 Wm?²
4. 200 Wm?²
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
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T = 10³ K ? ? ? ? ? ? T = 10² K ? ? ? ? ?, 1 ?. ? ? ? ? ? ? ? ? ? ?, ? ? ? ? 0.1 WK?¹m?¹ ? ? ? ? ? ? ? ? ? :
Options:
1. 90 Wm?²
2. 120 Wm?²
3. 65 Wm?²
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4. 200 Wm?²
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 string of length 1 m and mass 5 g is fixed at both ends. The tension in the string is 8.0 N. The string is set into vibration using an external vibrator of frequency 100 Hz. The separation between successive nodes on the string is close to :
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Options:
1. 10.0 cm
2. 16.6 cm
3. 20.0 cm
4. 33.3 cm
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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
1 m ? ? 5 g ? ? ? ? ? ? ? ? ? ? ? ? ? 8.0 N ? ? ? 100 Hz ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
1. 10.0 cm
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2. 16.6 cm
3. 20.0 cm
4. 33.3 cm
Question Number: 13 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 train moves towards a stationary observer with speed 34 m/s. The train sounds a whistle and its frequency registered by the observer is f1. If the speed of the train is reduced to 17 m/s, the frequency registered is f2. If speed of sound is 340 m/s, then the ratio f1/f2 is:
Options:
1. 18/17
2. 21/20
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3. 20/19
4. 19/18
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
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 17 m/s ? ? ? ? ? ? ? ? ? 12 ? ? ? ? ? ? ? 340 m/s ? ? ? 11 ?:
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Options:
1. 18/17
2. 21/20
3. 20/19
4. 19/18
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Question Number: 14 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 parallel plate capacitor is of area 6 cm² and a separation 3 mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants K1 =10, K2=12 and K3=14. The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be :
Options:
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1. 36
2. 12
3. 4
4. 14
Question Number: 14 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
? ? ? ? ? ? ? ? 6 cm² ? ? ? ? 3 mm ? ? ? ? ? ? ? ? ? ? ? ? ? ?, K1 = 10, K2=12, K3 = 14 ?, ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? :
Options:
1. 36
2. 12
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3
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