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2005 16 questions

Q772005 · 28 Apr 2005 · Shift 1
A car starting from rest accelerates at the rate $f$ through a distance $S$ , then continues at constant speed for time $t$ and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance traversed is $15 S$ , then
1. A. $S = \frac{1}{6} f t^{2}$
2. B. $S = f t$
3. C. $S = \frac{1}{4} f t^{2}$
4. D. $S = \frac{1}{72} f t^{2}$
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Answer: D
Q792005 · 28 Apr 2005 · Shift 1
The relation between time $t$ and distance $x$ is $t = a x^{2} + b x$ where $a$ and $b$ are constants. The acceleration is
1. A. $2 b v^{3}$
2. B. $- 2 ab v^{2}$
3. C. $2 a v^{2}$
4. D. $- 2 a v^{3}$
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Answer: D
Q802005 · 28 Apr 2005 · Shift 1
A smooth block is released at rest on a $4 5^{\circ}$ incline and then slides a distance ' $d$ '. The time taken to slide is ' $n$ ' times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
1. A. $μ_{k} = 1 - \frac{1}{n ^{2}}$
2. B. $μ_{k} = 1 - \frac{1}{n ^{2}}$
3. C. $μ_{s} = 1 - \frac{1}{n ^{2}}$
4. D. $μ_{s} = 1 - \frac{1}{n ^{2}}$
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Answer: B
Q852005 · 28 Apr 2005 · Shift 1
A particle of mass $0.3 kg$ subjected to a force $F = - k x$ with $k = 15 N/m$ . What will be its initial acceleration if it is released from a point $20 cm$ away from the origin?
1. A. $15 m/ s^{2}$
2. B. $3 m/ s^{2}$
3. C. $10 m/ s^{2}$
4. D. $5 m/ s^{2}$
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Answer: C
Q862005 · 28 Apr 2005 · Shift 1
Consider a car moving on a straight road with a speed of $100 m/s$ . The distance at which car can be stopped is $[μ_{k} = 0.5]$
1. A. $1000 m$
2. B. $800 m$
3. C. $400 m$
4. D. $100 m$
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Answer: A
Q872005 · 28 Apr 2005 · Shift 1
A spherical ball of mass $20 kg$ is stationary at the top of a hill of height $100 m$ . It rolls down a smooth surface to the ground, then climbs up another hill of height $30 m$ and finally rolls down to a horizontal base at a height of $20 m$ above the ground. The velocity attained by the ball is
1. A. $20 m/s$
2. B. $40 m/s$
3. C. $1030 m/s$
4. D. $10 m/s$
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Answer: B
Q932005 · 28 Apr 2005 · Shift 1
Average density of the earth
1. A.is a complex function of $g$
2. B.does not depend on $g$
3. C.is inversely proportional to $g$
4. D.is directly proportional to $g$
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Answer: D
Q1002005 · 28 Apr 2005 · Shift 1
A gaseous mixture consists of $16 g$ of helium and $16 g$ of oxygen. The ratio $\frac{C _{p}}{C _{v}}$ of the mixture is
1. A. $1.62$
2. B. $1.59$
3. C. $1.54$
4. D. $1.4$
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Answer: A
Q1022005 · 28 Apr 2005 · Shift 1
1. A. $ln (\frac{r _{2}}{r _{1}})$
2. B. $\frac{( r _{2} - r _{1} )}{( r _{1} r _{2} )}$
3. C. $(r_{2} - r_{1})$
4. D. $\frac{r _{1} r _{2}}{( r _{2} - r _{1} )}$
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Answer: D
Q1032005 · 28 Apr 2005 · Shift 1
1. A.relation between $Δ U_{1}$ and $Δ U_{2}$ can not be determined
2. B. $Δ U_{1} = Δ U_{2}$
3. C. $Δ U_{2} < Δ U_{1}$
4. D. $Δ U_{2} > Δ U_{1}$
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Answer: B
Q1042005 · 28 Apr 2005 · Shift 1
1. A. $\frac{1}{4}$
2. B. $\frac{1}{2}$
3. C. $\frac{2}{3}$
4. D. $\frac{1}{3}$
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Answer: D
Q1062005 · 28 Apr 2005 · Shift 1
The function $sin^{2} (ω t)$ represents
1. A.a periodic, but not $S H M$ with a period $\frac{π}{ω}$
2. B.a periodic, but not $S H M$ with a period $\frac{2 π}{ω}$
3. C.a $S H M$ with a period $\frac{π}{ω}$
4. D.a $S H M$ with a period $\frac{2 π}{ω}$
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Answer: C
Q1152005 · 28 Apr 2005 · Shift 1
Two thin, long, parallel wires, separated by a distance ' $d$ ' carry a current of ' $i$ ' $A$ in the same direction. They will
1. A.repel each other with a force of $μ_{0} i^{2} / (2 π d)$
2. B.attract each other with a force of $μ_{0} i^{2} / (2 π d)$
3. C.repel each other with a force of $μ_{0} i^{2} / (2 π d^{2})$
4. D.attract each other with a force of $μ_{0} i^{2} / (2 π d^{2})$
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Answer: B
Q1162005 · 28 Apr 2005 · Shift 1
A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be
1. A.four times
2. B.doubled
3. C.halved
4. D.one fourth
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Answer: B
Q1322005 · 28 Apr 2005 · Shift 1
Two point white dots are $1 mm$ apart on a black paper. They are viewed by eye of pupil diameter $3 mm$ . Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light $= 500 nm$ ]
1. A. $1 m$
2. B. $5 m$
3. C. $3 m$
4. D. $6 m$
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Answer: B
Q1382005 · 28 Apr 2005 · Shift 1
A photocell is illuminated by a small bright source placed $1 m$ away. When the same source of light is placed $\frac{1}{2} m$ away, the number of electrons emitted by photo-cathode would
1. A.increases by a factor of 4
2. B.decreases by a factor of 4
3. C.increases by a factor of 2
4. D.decreases by a factor of 2
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Answer: A