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2022 52 questions

Q332022 · 29 Jul 2022 · Shift 1
If $t = x + 4$ , then $(\frac{d x}{d t})_{t = 4}$ is :
1. A.4
2. B.zero
3. C.8
4. D.16
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Answer: B
Q572022 · 29 Jul 2022 · Shift 1· Numerical answer
Two light beams of intensities $4 I$ and $9 I$ interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is $π$ . The difference of resultant intensities, at the point A and B, will be ____ $I$ .
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Answer: 24
Q402022 · 29 Jul 2022 · Shift 2
An $α$ particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particles will be:
1. A. $2 : 1$
2. B. $22 : 1$
3. C. $42 : 1$
4. D. $8 : 1$
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Answer: B
Q422022 · 29 Jul 2022 · Shift 2
A ball is released from a height $h$ . If $t_{1}$ and $t_{2}$ be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between $t_{1}$ and $t_{2}$ .
1. A. $t_{1} = (2) t_{2}$
2. B. $t_{1} = (2 - 1) t_{2}$
3. C. $t_{2} = (2 + 1) t_{1}$
4. D. $t_{2} = (2 - 1) t_{1}$
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Answer: D
Q322022 · 28 Jul 2022 · Shift 1
An NCC parade is going at a uniform speed of $9 km/h$ under a mango tree on which a monkey is sitting at a height of $19.6 m$ . At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is: (Given $g = 9.8 m/ s^{2}$ )
1. A. $5 m$
2. B. $10 m$
3. C. $19.8 m$
4. D. $24.5 m$
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Answer: A
Q352022 · 28 Jul 2022 · Shift 1
If the radius of earth shrinks by $2%$ while its mass remains same. The acceleration due to gravity on the earth's surface will approximately :
1. A.decrease by $2%$
2. B.decrease by $4%$
3. C.increase by $2%$
4. D.increase by $4%$
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Answer: D
Q382022 · 28 Jul 2022 · Shift 1
In the wave equation $y = 0.5 sin \frac{2 π}{λ} (400 t - x) m$ the velocity of the wave will be:
1. A. $200 m/s$
2. B. $2002 m/s$
3. C. $400 m/s$
4. D. $4002 m/s$
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Answer: C
Q442022 · 28 Jul 2022 · Shift 1
1. A. $1.0 \times 1 0^{8} ms^{- 1}$
2. B. $0.5 \times 1 0^{8} ms^{- 1}$
3. C. $1.5 \times 1 0^{8} ms^{- 1}$
4. D. $3.0 \times 1 0^{8} ms^{- 1}$
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Answer: A
Q512022 · 28 Jul 2022 · Shift 1· Numerical answer
If the projection of $2 \hat{i} + 4 \hat{j} - 2 \hat{k}$ on $\hat{i} + 2 \hat{j} + α \hat{k}$ is zero. Then, the value of $α$ will be _________.
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Answer: 5
Q322022 · 28 Jul 2022 · Shift 2
At time $t = 0$ a particle starts travelling from a height $7 \overset{z}{^} cm$ in a plane keeping z coordinate constant. At any instant of time its position along the $\overset{x}{^}$ and $\overset{y}{^}$ directions are defined as $3 t$ and $5 t^{3}$ respectively. At $t = 1 s$ acceleration of the particle will be
1. A. $- 30 \overset{y}{^}$
2. B. $30 \overset{y}{^}$
3. C. $3 \overset{x}{^} + 15 \overset{y}{^}$
4. D. $3 \overset{x}{^} + 15 \overset{y}{^} + 7 \overset{z}{^}$
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Answer: B
Q382022 · 28 Jul 2022 · Shift 2
A vessel contains $14 g$ of nitrogen gas at a temperature of $2 7^{\circ} C$ . The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be : $Take R = 8.32 J mol^{- 1} k^{- 1}$ .
1. A. $2229 J$
2. B. $5616 J$
3. C. $9360 J$
4. D. $13, 104 J$
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Answer: C
Q562022 · 28 Jul 2022 · Shift 2· Numerical answer
An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated 220 V, 60 W. If the voltage across combination is 220 V, the power consumed by the 100 W bulb will be about _______ W.
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Answer: 14
Q372022 · 27 Jul 2022 · Shift 1
1. A. $1 8^{\circ} C$
2. B. $1 4^{\circ} C$
3. C. $4 5^{\circ} C$
4. D. $15 0^{\circ} C$
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Answer: C
Q482022 · 27 Jul 2022 · Shift 1
A magnet hung at $4 5^{\circ}$ with magnetic meridian makes an angle of $6 0^{\circ}$ with the horizontal. The actual value of the angle of dip is -
1. A. $tan^{- 1} (\frac{3}{2})$
2. B. $tan^{- 1} (6)$
3. C. $tan^{- 1} (\frac{2}{3})$
4. D. $tan^{- 1} (\frac{1}{2})$
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Answer: A
Q502022 · 27 Jul 2022 · Shift 1
At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height of the tower should be increased to
1. A.200 m
2. B.300 m
3. C.600 m
4. D.900 m
Show answer
Answer: D
Q442022 · 26 Jul 2022 · Shift 1
The percentage decrease in the weight of a rocket, when taken to a height of $32 km$ above the surface of earth will be : ( Radius of earth $= 6400 km$ )
1. A. $1%$
2. B. $3%$
3. C. $4%$
4. D. $0.5%$
Show answer
Answer: A
Q462022 · 26 Jul 2022 · Shift 1
A monkey of mass $50 kg$ climbs on a rope which can withstand the tension (T) of $350 N$ . If monkey initially climbs down with an acceleration of $4 m/ s^{2}$ and then climbs up with an acceleration of $5 m/ s^{2}$ . Choose the correct option ( $g = 10 m/ s^{2}$ ).
1. A. $T = 700 N$ while climbing upward
2. B. $T = 350 N$ while going downward
3. C.Rope will break while climbing upward
4. D.Rope will break while going downward
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Answer: C
Q472022 · 26 Jul 2022 · Shift 1
Two projectiles thrown at $3 0^{\circ}$ and $4 5^{\circ}$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is :
1. A. $1 : 2$
2. B. $2 : 1$
3. C. $2 : 1$
4. D. $1 : 2$
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Answer: C
Q602022 · 26 Jul 2022 · Shift 1· Numerical answer
When a car is approaching the observer, the frequency of horn is $100 Hz$ . After passing the observer, it is $50 Hz$ . If the observer moves with the car, the frequency will be $\frac{x}{3} Hz$ where $x =$ ____.
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Answer: 200
Q332022 · 25 Jul 2022 · Shift 2
Two billiard balls of mass $0.05 kg$ each moving in opposite directions with $10 ms^{- 1}$ collide and rebound with the same speed. If the time duration of contact is $t = 0.005 s$ , then what is the force exerted on the ball due to each other?
1. A. $100 N$
2. B. $200 N$
3. C. $300 N$
4. D. $400 N$
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Answer: B
Q362022 · 25 Jul 2022 · Shift 2
The ratio of wavelengths of proton and deuteron accelerated by potential $V_{p}$ and $V_{d}$ is $1 : 2$ . Then the ratio of $V_{p}$ to $V_{d}$ will be :
1. A. $1 : 1$
2. B. $2 : 1$
3. C. $2 : 1$
4. D. $4 : 1$
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Answer: D
Q392022 · 25 Jul 2022 · Shift 2
When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on :
1. A.Electromagnetic induction
2. B.Resonance in ac circuits
3. C.Mutual induction in ac circuits
4. D.Interference of electromagnetic waves
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Answer: B
Q432022 · 25 Jul 2022 · Shift 2
An object is taken to a height above the surface of earth at a distance $\frac{5}{4} R$ from the centre of the earth. Where radius of earth, $R = 6400 km$ . The percentage decrease in the weight of the object will be :
1. A. $36%$
2. B. $50%$
3. C. $64%$
4. D. $25%$
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Answer: A
Q512022 · 25 Jul 2022 · Shift 2· Numerical answer
A particle is moving in a straight line such that its velocity is increasing at $5 ms^{- 1}$ per meter. The acceleration of the particle is ___________ $ms^{- 2}$ at a point where its velocity is $20 ms^{- 1}$ .
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Answer: 100
Q312022 · 28 Jun 2022 · Shift 2
Velocity ( $v$ ) and acceleration ( $a$ ) in two systems of units 1 and 2 are related as $v_{2} = \frac{n}{m ^{2}} v_{1}$ and $a_{2} = \frac{a _{1}}{mn}$ respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :
1. A. $\frac{n ^{3}}{m ^{3}} L_{1} = L_{2}$ and $\frac{n ^{2}}{m} T_{1} = T_{2}$
2. B. $L_{1} = \frac{n ^{4}}{m ^{2}} L_{2}$ and $T_{1} = \frac{n ^{2}}{m} T_{2}$
3. C. $L_{1} = \frac{n ^{2}}{m} L_{2}$ and $T_{1} = \frac{n ^{4}}{m ^{2}} T_{2}$
4. D. $\frac{n ^{2}}{m} L_{1} = L_{2}$ and $\frac{n ^{4}}{m ^{2}} T_{1} = T_{2}$
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Answer: A