Physics Test-13

Question 1
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A body moves with a speed of \(10 {~m} / {s}\) in the curved path of \(25 {~m}\) radius of curvature. If the tangential acceleration is \(3 {~m} / {s}^{2}\), then total acceleration for the body will be:

A
\(3.3 {~m} / {s}^{2}\)

B
\(4 {~m} / {s}^{2}\)

C
\(5 {~m} / {s}^{2}\)

D
None of these

Question 2
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A body starts from rest and is uniformly accelerated for \(30\) sec. The distance travelled in the first \(10\)sec is \(X_{1}\), next \(10\)sec is \(X_{2}\)and the last \(10\) sec is \(X_{3}\). Then \(X_{1}: X_{2}: X_{3}\)is the same as:

A
\(1 : 2 : 4\)

B
\(1 : 2 : 5\)

C
\(1 : 3 : 5\)

D
\(1 : 3 : 9\)

Question 3
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The amount of heat produced in an electric circuit depends upon the current \((I)\), resistance \((R)\) and time \((t)\). If the error made in the measurements of the above quantities are \(2 \%, 1 \%\) and \(1 \%\) respectively then the maximum possible error (in \(\%)\)in the total heat produced will be:

A
\(1\)

B
\(2\)

C
\(6\)

D
\(3\)

Question 4
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A stationary wave is given by, \(y=A \sin \frac{\pi x}{2} \cos \frac{\pi}{2} t\)where \(A,x,y\) are in \(cm\) and is in \(t\mathrm{~sec}\). Find the distance (in \(cm\)) between the adjacent nodes whose superposition can give rise to this vibration?

A
\(1\)

B
\(2\)

C
\(3\)

D
\(4\)

Question 5
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Let the refractive index of a denser medium with respect to a rarer medium be \(n≅12\) and its critical angle be \(θ_c\). At an angle of incidence A when light is travelling from denser medium to rarer medium, a part of the light is reflected and the rest is refracted and the angle between reflected and refracted rays is \(90°\). Angle \(A\) is given by:

A
\(\frac{1}{\cos ^{-1}\left(\sin \theta_{c}\right)}\)

B
\(\frac{1}{\tan ^{-1}\left(\sin \theta_{c}\right)}\)

C
\(\cos ^{-1}\left(\sin \theta_{c}\right)\)

D
\(\tan ^{-1}\left(\sin \theta_{c}\right)\)

Question 6
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In a series \(LCR\) circuit \(\mathrm{R}=200 \Omega\) and the voltage and the frequency of the main supply is \(220 \mathrm{~V}\) and \(50 \mathrm{~Hz}\) respectively. On taking out the capacitance from the circuit the current lags behind the voltage by \(30^{\circ}\). On taking out the inductor from the circuit the current leads the voltage by \(30^{\circ} \). The power dissipated (in Watt) in the \(LCR\) circuit is

A
\(242\)

B
\(305\)

C
\(210\)

D
\(0\)

Question 7
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Two-point charges \(+8q\) and \(-2q\) are located at \(x = 0\) and \(x = L\) respectively. The location of a point on the \(X\)-axis at which the net electric field due to these two point charges is zero is:

A
\(2L\)

B
\(\frac{L}{4}\)

C
\(8L\)

D
\(4L\)

Question 8
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This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement – 1: For a mass \(M\) kept at the centre of a cube of side \(a\), the flux of gravitational field passing through its sides is \(4 πGM\).
Statement– 2: If the direction of a field due to a point source is radial and its dependence on the distance \(r\) from the source is given as \(r-2\), its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.

A
Statement – 1 is True, Statement – 2 is True; Statement – 2 is not a correct explanation for Statement – 1

B
Statement – 1 is True, Statement – 2 is False

C
Statement – 1 is False, Statement – 2 is True

D
Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1

Question 9
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When a certain metal surface is illuminated with light of frequency \(\nu\), the stopping potential for photoelectric current is \(\mathrm{V}_{0}\). When the same surface is illuminated by light of frequency \(\frac{\mathrm{V}}{2}\) the stopping potential is \(\left(\frac{\mathrm{V}_{0}}{4}\right)\). The threshold frequency for photoelectric emission is

A

\(\frac{\nu}{6}\)

B
\(\frac{\nu}{3}\)

C
\(\frac{2 \nu}{3}\)

D
\(\frac{4 \nu}{3}\)

Question 10
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The maximum number of 40 W tube lights connected in parallel which can safely be run from a 240 V supply with a 5 A fuse is:

A
5

B
15

C
20

D
30

Question 11
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A particle of charge \(-16 \times 10^{-18}\) coulomb moving with velocity \(10 \mathrm{~ms}^{-1}\) along the \(x\) -axis enters a region where a magnetic field of induction \(B\) is along the \(\mathrm{y}\) -axis, and an electric field of magnitude \(10^{4} \mathrm{~V} / \mathrm{m}\) is along the negative \(z\)-axis. If the charged particle continues moving along the \(x\)-axis, the magnitude of \(B\) is:

A
\(10^{3} \mathrm{~Wb} / \mathrm{m}^{2}\)

B
\(10^{5} \mathrm{~Wb} / \mathrm{m}^{2}\)

C
\(10^{16} \mathrm{~Wb} / \mathrm{m}^{2}\)

D
\(10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}\)

Question 12
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\(1 \mathrm{gm}\) of an ideal gas expands isothermally. Heat flow will be:

A
From the gas to outside the atmosphere

B
From outside atmosphere to the gas

C
Zero

D
Both (A) and (B)

Question 13
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The work done in carrying a charge q once around a circle of radius \(\mathrm{r}\) with a charge \(\mathrm{Q}\) placed at the center will be

A
\(Q q\left(4 \pi \varepsilon_{0} r^{2}\right)\)

B
\(\frac{Qq}{\left(4 \pi \varepsilon_{0} \mathrm{r}\right)}\)

C
\(0\)

D
\(\frac{Qq^{2}}{\left(4 \pi \varepsilon_{0} \mathrm{r}\right)}\)

Question 14
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A force \(F=P y^{2}+Q y+R\) acts on a body in the \(y\) direction. The change in kinetic energy of the body during a displacement from \(y=-a\) to \(y=a\) is:

A
\(\frac{2 P a^{2}}{3}+2 R a\)

B
\(\frac{2 Q a^{2}}{3}+P a\)

C
\(\frac{2 P a^{2}}{3}+\frac{R a}{2}\)

D
\(\frac{2 P a^{2}}{3}+\frac{Q a}{2}\)

Question 15
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Which of the following is a correct relation for a transistor?

A
\(\alpha=\frac{\beta}{1-\beta}\)

B
\(\beta=\frac{\alpha}{1-\alpha}\)

C
\(\beta=\frac{\alpha}{1+\alpha}\)

D
\(\alpha=\frac{\beta}{1+\alpha}\)

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Physics Test-13...

Question 1

\(3.3 {~m} / {s}^{2}\)

\(4 {~m} / {s}^{2}\)

\(5 {~m} / {s}^{2}\)

None of these

Question 2

\(1 : 2 : 4\)

\(1 : 2 : 5\)

\(1 : 3 : 5\)

\(1 : 3 : 9\)

Question 3

\(1\)

\(2\)

\(6\)

\(3\)

Question 4

\(1\)

\(2\)

\(3\)

\(4\)

Question 5

\(\frac{1}{\cos ^{-1}\left(\sin \theta_{c}\right)}\)

\(\frac{1}{\tan ^{-1}\left(\sin \theta_{c}\right)}\)

\(\cos ^{-1}\left(\sin \theta_{c}\right)\)

\(\tan ^{-1}\left(\sin \theta_{c}\right)\)

Question 6

\(242\)

\(305\)

\(210\)

\(0\)

Question 7

\(2L\)

\(\frac{L}{4}\)

\(8L\)

\(4L\)

Question 8

Statement – 1 is True, Statement – 2 is True; Statement – 2 is not a correct explanation for Statement – 1

Statement – 1 is True, Statement – 2 is False

Statement – 1 is False, Statement – 2 is True

Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1

Question 9

\(\frac{\nu}{6}\)

\(\frac{\nu}{3}\)

\(\frac{2 \nu}{3}\)

\(\frac{4 \nu}{3}\)

Question 10

5

15

20

30

Question 11

\(10^{3} \mathrm{~Wb} / \mathrm{m}^{2}\)

\(10^{5} \mathrm{~Wb} / \mathrm{m}^{2}\)

\(10^{16} \mathrm{~Wb} / \mathrm{m}^{2}\)

\(10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}\)

Question 12

From the gas to outside the atmosphere

From outside atmosphere to the gas

Zero

Both (A) and (B)

Question 13

\(Q q\left(4 \pi \varepsilon_{0} r^{2}\right)\)

\(\frac{Qq}{\left(4 \pi \varepsilon_{0} \mathrm{r}\right)}\)

\(0\)

\(\frac{Qq^{2}}{\left(4 \pi \varepsilon_{0} \mathrm{r}\right)}\)

Question 14

\(\frac{2 P a^{2}}{3}+2 R a\)

\(\frac{2 Q a^{2}}{3}+P a\)

\(\frac{2 P a^{2}}{3}+\frac{R a}{2}\)

\(\frac{2 P a^{2}}{3}+\frac{Q a}{2}\)

Question 15

\(\alpha=\frac{\beta}{1-\beta}\)

\(\beta=\frac{\alpha}{1-\alpha}\)

\(\beta=\frac{\alpha}{1+\alpha}\)

\(\alpha=\frac{\beta}{1+\alpha}\)

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