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2019 19 questions

Q312019 · 12 Apr 2019 · Shift 1
A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If $t_{1}$ and $t_{2}$ are the values of the time taken by it to hit the target in two possible ways, the product $t_{1} t_{2}$ is -
1. A. $\frac{2 R}{g}$
2. B. $\frac{R}{g}$
3. C. $\frac{R}{2 g}$
4. D. $\frac{R}{4 g}$
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Answer: A
Q402019 · 12 Apr 2019 · Shift 1
1. A. $16 Ω$
2. B. $1 Ω$
3. C. $8 Ω$
4. D. $6 Ω$
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Answer: C
Q482019 · 12 Apr 2019 · Shift 2
The number density of molecules of a gas depends on their distance r from the origin as, $n (r) = n_{0} e^{- α r^{4}}$ . Then the total number of molecules is proportional to :
1. A. $n_{0} α^{- 3/4}$
2. B. $n_{0} α^{- 3}$
3. C. $n_{0} α^{1/4}$
4. D. $n_{0} α^{1/2}$
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Answer: A
Q422019 · 10 Apr 2019 · Shift 2
1. A.
2. B.
3. C.
4. D.
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Answer: C
Q512019 · 10 Apr 2019 · Shift 2
1. A.14 cm
2. B.18 cm
3. C.20 cm
4. D.26 cm
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Answer: C
Q332019 · 9 Apr 2019 · Shift 1
1. A. $Δ Q_{A} > Δ Q_{B}$ ; $Δ U_{A} > Δ U_{B}$
2. B. $Δ Q_{A} < Δ Q_{B}$ ; $Δ U_{A} < Δ U_{B}$
3. C. $Δ Q_{A} > Δ Q_{B}$ ; $Δ U_{A} = Δ U_{B}$
4. D. $Δ Q_{A} = Δ Q_{B}$ ; $Δ U_{A} = Δ U_{B}$
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Answer: C
Q472019 · 9 Apr 2019 · Shift 1
1. A.Repulsive and equal to $μ_{0} I_{1} I_{2} /4 π$
2. B.Attractive and equal to $μ_{0} I_{1} I_{2} /3 π$
3. C.Repulsive and equal to $μ_{0} I_{1} I_{2} /2 π$
4. D.Zero
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Answer: A
Q312019 · 9 Apr 2019 · Shift 2
Two coils 'P' and 'Q' are separated by some distance. When a current of 3 A flows through coil 'P', a magnetic flux of $1 0^{- 3} Wb$ passes through 'Q'. No current is passed through 'Q'. When no current passes through 'P' and a current of 2 A passes through 'Q', the flux through 'P' is :-
1. A. $3.67 \times 1 0^{- 4} Wb$
2. B. $3.67 \times 1 0^{- 3} Wb$
3. C. $6.67 \times 1 0^{- 4} Wb$
4. D. $6.67 \times 1 0^{- 3} Wb$
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Answer: C
Q342019 · 9 Apr 2019 · Shift 2
The position of a particle as a function of time t, is given by $x (t) = a t + b t^{2} - c t^{3}$ where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be :
1. A. $a + \frac{b ^{2}}{c}$
2. B. $a + \frac{b ^{2}}{4 c}$
3. C. $a + \frac{b ^{2}}{3 c}$
4. D. $a + \frac{b ^{2}}{2 c}$
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Answer: C
Q482019 · 9 Apr 2019 · Shift 2
The position vector of a particle changes with time according to the relation $r (t) = 15 t^{2} \hat{i} + (4 - 20 t^{2}) \hat{j}$ What is the magnitude of the acceleration at t = 1 ?
1. A.50
2. B.25
3. C.40
4. D.100
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Answer: A
Q382019 · 8 Apr 2019 · Shift 2
Young's moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is close to :-
1. A.1.7 mm
2. B.1.9 mm
3. C.1.3 mm
4. D.1.5 mm
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Answer: A
Q392019 · 8 Apr 2019 · Shift 2
A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy delivered by the rocket launcher, what should be the minimum energy that the launcher should have if the same rocket is to be launched from the surface of the moon ? Assume that the density of the earth and the moon are equal and that the earth's volume is 64 times the volume of the moon :-
1. A.E/32
2. B.E/16
3. C.E/4
4. D.E/64
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Answer: B
Q542019 · 8 Apr 2019 · Shift 2
Let $∣ A_{1} ∣ = 3$ , $∣ A_{2} ∣ = 5$ and $∣ A_{1} + A_{2} ∣ = 5$ . The value of $(2 A_{1} + 3 A_{2}) \cdot (3 A_{1} - 2 A_{2})$ is :-
1. A.−118.5
2. B.−112.5
3. C.−99.5
4. D.−106.5
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Answer: A
Q572019 · 12 Jan 2019 · Shift 1
Two electric bulbs, rated at $(25 W, 220 V)$ and $(100 W, 220 V)$ , are connected in series across a $220 V$ voltage source. If the $25 W$ and $100 W$ bulbs draw powers $P_{1}$ and $P_{2}$ respectively, then :
1. A. $P_{1} = 4 W, P_{2} = 16 W$
2. B. $P_{1} = 16 W, P_{2} = 4 W$
3. C. $P_{1} = 9 W, P_{2} = 16 W$
4. D. $P_{1} = 16 W, P_{2} = 9 W$
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Answer: B
Q602019 · 12 Jan 2019 · Shift 2
To double the covering range of a TV transmission tower, its height should be multiplied by :
1. A.4
2. B.2
3. C. $2$
4. D. $\frac{1}{2}$
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Answer: A
Q352019 · 11 Jan 2019 · Shift 2
When $100 g$ of a liquid A at $10 0^{\circ} C$ is added to $50 g$ of a liquid B at temperature $7 5^{\circ} C$ , the temperature of the mixture becomes $9 0^{\circ} C$ . The temperature of the mixture, if $100 g$ of liquid A at $10 0^{\circ} C$ is added to $50 g$ of liquid B at $5 0^{\circ} C$ , will be :
1. A. $6 0^{\circ} C$
2. B. $7 0^{\circ} C$
3. C. $8 5^{\circ} C$
4. D. $8 0^{\circ} C$
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Answer: D
Q362019 · 11 Jan 2019 · Shift 2
A thermometer graduated according to a linear scale reads a value $x_{0}$ when in contact with boiling water, and $x_{0} /3$ when in contact with ice. What is the temperature of an object in $^{\circ} C$ , if this thermometer in the contact with the object reads $x_{0} /2$ ?
1. A.60
2. B.35
3. C.25
4. D.40
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Answer: C
Q522019 · 11 Jan 2019 · Shift 2
In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation $VT = K$ , where K is a constant. In this process the temperature of the gas is increased by $Δ T$ . The amount of heat absorbed by gas is (R is gas constant) :
1. A. $\frac{1}{2} KR Δ T$
2. B. $\frac{1}{2} R Δ T$
3. C. $\frac{3}{2} R Δ T$
4. D. $\frac{2 K}{3} Δ T$
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Answer: B
Q602019 · 11 Jan 2019 · Shift 2
1. A. $(1 + 9 sin (2 π \times 1 0^{4} t)) sin (2.5 π \times 1 0^{5} t) V$
2. B. $(9 + sin (4 π \times 1 0^{4} t)) sin (5 π \times 1 0^{5} t) V$
3. C. $(9 + sin (2 π \times 1 0^{4} t)) sin (2.5 π \times 1 0^{5} t) V$
4. D. $(9 + sin (2.5 π \times 1 0^{4} t)) sin (2 π \times 1 0^{4} t) V$
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Answer: C