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2023 59 questions

Q552023 · 13 Apr 2023 · Shift 2· Numerical answer
Two plates A and B have thermal conductivities $84 Wm^{- 1} K^{- 1}$ and $126 Wm^{- 1} K^{- 1}$ respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of A and B are kept at $10 0^{\circ} C$ and $0^{\circ} C$ respectively, then the temperature of the surface of contact in steady state is ___________ $^{\circ} C$ .
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Answer: 40
Q602023 · 13 Apr 2023 · Shift 2· Numerical answer
A car accelerates from rest to $u m/s$ . The energy spent in this process is E J. The energy required to accelerate the car from $u m/s$ to $2 u m/s$ is $nE J$ . The value of n is ___________.
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Answer: 3
Q372023 · 12 Apr 2023 · Shift 1
Three forces $F_{1} = 10 N$ , $F_{2} = 8 N$ , $F_{3} = 6 N$ are acting on a particle of mass $5 kg$ . The forces $F_{2}$ and $F_{3}$ are applied perpendicularly so that particle remains at rest. If the force $F_{1}$ is removed, then the acceleration of the particle is:
1. A. $4.8 ms^{- 2}$
2. B. $7 ms^{- 2}$
3. C. $2 ms^{- 2}$
4. D. $0.5 ms^{- 2}$
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Answer: C
Q442023 · 12 Apr 2023 · Shift 1
If the r. m.s speed of chlorine molecule is $490 m/s$ at $2 7^{\circ} C$ , the r. m. s speed of argon molecules at the same temperature will be (Atomic mass of $argon = 39.9 u$ , molecular mass of $chlorine = 70.9 u$ )
1. A. $451.7 m/s$
2. B. $751.7 m/s$
3. C. $551.7 m/s$
4. D. $651.7 m/s$
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Answer: D
Q492023 · 12 Apr 2023 · Shift 1
A body cools from $8 0^{\circ} C$ to $6 0^{\circ} C$ in $5 minutes$ . The temperature of the surrounding is $2 0^{\circ} C$ . The time it takes to cool from $6 0^{\circ} C$ to $4 0^{\circ} C$ is :
1. A. $500 s$
2. B. $\frac{25}{3} s$
3. C. $450 s$
4. D. $420 s$
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Answer: A
Q502023 · 12 Apr 2023 · Shift 1
The amplitude of $15 sin (1000 π t)$ is modulated by $10 sin (4 π t)$ signal. The amplitude modulated signal contains frequencies of A. $500 Hz$ B. $2 Hz$ C. $250 Hz$ D. $498 Hz$ E. $502 Hz$ Choose the correct answer from the options given below:
1. A.A and C only
2. B.A and B only
3. C.A and D only
4. D.A, D and E only
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Answer: D
Q522023 · 12 Apr 2023 · Shift 1· Numerical answer
64 identical drops each charged upto potential of $10 mV$ are combined to form a bigger drop. The potential of the bigger drop will be _________ $mV$ .
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Answer: 160
Q542023 · 12 Apr 2023 · Shift 1· Numerical answer
The current flowing through a conductor connected across a source is $2 A$ and $1.2 A$ at $0^{\circ} C$ and $10 0^{\circ} C$ respectively. The current flowing through the conductor at $5 0^{\circ} C$ will be _________ $\times 1 0^{2} mA$ .
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Answer: 15
Q312023 · 11 Apr 2023 · Shift 1
Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances. Statements II : $Au < Parsec(Pc) < ly$ In the light of the above statements, choose the most appropriate answer from the options given below:
1. A.Both Statements I and Statements II are incorrect.
2. B.Both Statements I and Statements II are correct.
3. C.Statements I is incorrect but Statements II is correct.
4. D.Statements I is correct but Statements II is incorrect.
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Answer: D
Q342023 · 11 Apr 2023 · Shift 1
On a temperature scale 'X', the boiling point of water is $6 5^{\circ} X$ and the freezing point is $- 1 5^{\circ} X$ . Assume that the X scale is linear. The equivalent temperature corresponding to $- 9 5^{\circ} X$ on the Fahrenheit scale would be:
1. A. $- 14 8^{\circ} F$
2. B. $- 4 8^{\circ} F$
3. C. $- 6 3^{\circ} F$
4. D. $- 11 2^{\circ} F$
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Answer: A
Q422023 · 11 Apr 2023 · Shift 1
An average force of $125 N$ is applied on a machine gun firing bullets each of mass $10 g$ at the speed of $250 m/s$ to keep it in position. The number of bullets fired per second by the machine gun is :
1. A.25
2. B.50
3. C.5
4. D.100
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Answer: B
Q462023 · 11 Apr 2023 · Shift 1
Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:
1. A.4 : 1
2. B.1 : 4
3. C.2 : 1
4. D.1 : 2
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Answer: A
Q512023 · 11 Apr 2023 · Shift 1· Numerical answer
The equation of wave is given by $Y = 1 0^{- 2} sin 2 π (160 t - 0.5 x + π /4)$ where $x$ and $Y$ are in $m$ and $t$ in $s$ . The speed of the wave is ________ $km h^{- 1}$ .
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Answer: 1152
Q572023 · 11 Apr 2023 · Shift 1· Numerical answer
The length of a wire becomes $l_{1}$ and $l_{2}$ when $100 N$ and $120 N$ tensions are applied respectively. If $10 l_{2} = 11 l_{1}$ , the natural length of wire will be $\frac{1}{x} l_{1}$ . Here the value of $x$ is _________.
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Answer: 2
Q312023 · 11 Apr 2023 · Shift 2
1. A. $\frac{1}{2} A$
2. B. $\frac{1}{3} A$
3. C. $\frac{1}{4} A$
4. D. $\frac{2}{3} A$
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Answer: B
Q402023 · 11 Apr 2023 · Shift 2
Eight equal drops of water are falling through air with a steady speed of $10 cm/s$ . If the drops coalesce, the new velocity is:-
1. A. $40 cm/s$
2. B. $16 cm/s$
3. C. $10 cm/s$
4. D. $5 cm/s$
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Answer: A
Q452023 · 11 Apr 2023 · Shift 2
When vector $A = 2 \hat{i} + 3 \hat{j} + 2 \hat{k}$ is subtracted from vector $B$ , it gives a vector equal to $2 \hat{j}$ . Then the magnitude of vector $B$ will be :
1. A. $3$
2. B. $33$
3. C. $6$
4. D. $5$
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Answer: B
Q472023 · 10 Apr 2023 · Shift 1
Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $d = \frac{R}{2}$ from the surface of earth, if its weight on the surface of earth is 200 N, will be: (Given R = radius of earth)
1. A.100 N
2. B.400 N
3. C.300 N
4. D.500 N
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Answer: A
Q412023 · 10 Apr 2023 · Shift 2
The time period of a satellite, revolving above earth's surface at a height equal to R will be (Given $g = π^{2} m/s^{2}$ , R = radius of earth)
1. A. $32 R$
2. B. $4 R$
3. C. $8 R$
4. D. $2 R$
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Answer: A
Q442023 · 10 Apr 2023 · Shift 2
Young's moduli of the material of wires A and B are in the ratio of $1 : 4$ , while its area of cross sections are in the ratio of $1 : 3$ . If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of [Assume length of wires A and B are same]
1. A. $1 : 12$
2. B. $1 : 36$
3. C. $12 : 1$
4. D. $36 : 1$
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Answer: C
Q392023 · 8 Apr 2023 · Shift 1
Two forces having magnitude $A$ and $\frac{A}{2}$ are perpendicular to each other. The magnitude of their resultant is:
1. A. $\frac{5 A}{2}$
2. B. $\frac{5 A}{4}$
3. C. $\frac{5 A}{2}$
4. D. $\frac{5 A ^{2}}{2}$
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Answer: C
Q462023 · 8 Apr 2023 · Shift 1
The weight of a body on the earth is $400 N$ . Then weight of the body when taken to a depth half of the radius of the earth will be:
1. A. $300 N$
2. B. $200 N$
3. C. $100 N$
4. D.Zero
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Answer: B
Q392023 · 8 Apr 2023 · Shift 2
The waves emitted when a metal target is bombarded with high energy electrons are
1. A.Infrared rays
2. B.Radio Waves
3. C.Microwaves
4. D.X-rays
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Answer: D
Q482023 · 8 Apr 2023 · Shift 2
A radio active material is reduced to $1/8$ of its original amount in $3 days$ . If $8 \times 1 0^{- 3} kg$ of the material is left after $5 days$ the initial amount of the material is
1. A. $64 g$
2. B. $256 g$
3. C. $32 g$
4. D. $40 g$
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Answer: B
Q502023 · 6 Apr 2023 · Shift 1
By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by $21%$ ?
1. A.12%
2. B.15%
3. C.10%
4. D.14%
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Answer: C