Physics Test

Question 1
1 / -0

The ratio of nuclear radii and nuclear densities of \({ }_{26} \mathrm{Fe}^{56}\) and \({ }_{92} \mathrm{U}^{238}\) is

A
\(0.617\) and \(1\) respectively

B
\(1\) and \(.671\) respectively

C
Both equal to \(1\)

D
Both equal to \(.671\)

Question 2
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How many coulombs of charge do\(25 \times 10^{31}\)electrons possess?

A
\(80 \times 10^{12} C\)

B
\(4 \times 10^{12} C\)

C
\(40 \times 10^{12} C\)

D
\(8 \times 10^{12} C\)

Question 3
1 / -0

For a rectangle, if length \({l}=16.2 \) cm and breadth \(b=10.1 \) cm, then find the percentage uncertainty in the area of this rectangle.

A
\(1.6 \%\)

B
\(1.0 \%\)

C
\(1.9 \%\)

D
\(2.6 \%\)

Question 4
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Three objects, \(\mathrm{A}\): (a solid sphere), \(\mathrm{B}\): (a thin circular disk) and \(\mathrm{C}\): (a circular ring), each have the same mass \(\mathrm{M}\) and radius \(\mathrm{R}\). They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation

A
\({W}_{{B}}>{W}_{{A}}>{W}_{{C}}\)

B
\({W}_{{A}}>{W}_{{B}}>{W}_{{C}}\)

C
\({W}_{{C}}>{W}_{{B}}>{W}_{{A}}\)

D
\({W}_{{A}}>{W}_{{C}}>{W}_{{B}}\)

Question 5
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Find out the surface charge density at the intersection of point \(X=3 m\) plane and \(X\)-axis, in the region of uniform line charge of \(8 n C / m\) lying along the \(Z\)-axis in free space

A
\(0.424 n \mathrm{Cm}^{-2}\)

B
\(47.88 \mathrm{nCm}^{-2}\)

C
\(0.07 \mathrm{nCm}^{-2}\)

D
\(4.0 \mathrm{Cm}^{-2}\)

Question 6
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A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of an increase in temperature. The length of the aluminium rod is : (α_Cu = 1.7 × 10^–5 K^–1and α_Al = 2.2 × 10^–5 K^–1)

A
6.8 cm

B
113.9 cm

C
88 cm

D
68 cm

Question 7
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A car starting from rest has a constant acceleration \(a _{1}\) for a time interval \(t_{1}\), during which it covers a distance \(s_{1}\). In the next time interval \(t _{2}\), the car has a constant retardation \(a _{2}\) and comes to rest after covering a distance \(s_{2}\) in time \(t_{2} .\) Which of the following relations is correct?

A
\(\frac{a_{1}}{a_{2}}=\frac{s_{1}}{s_{2}}=\frac{t_{1}}{t_{2}}\)

B
\(\frac{a_{1}}{a_{2}}=\frac{s_{2}}{s_{1}}=\frac{t_{1}}{t_{2}}\)

C
\(\frac{a_{1}}{a_{2}}=\frac{s_{1}}{s_{2}}=\frac{t_{2}}{t_{1}}\)

D
\(\frac{a_{1}}{a_{2}}=\frac{s_{2}}{s_{1}}=\frac{t_{2}}{t_{1}}\)

Question 8
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A \(50 \mathrm{~kg}\) man is standing at the centre of a \(30 \mathrm{~kg}\) platform \(\mathrm A\). Length of the platform is \(10 \mathrm{~m}\) and coefficient of friction between the platform and the horizontal ground is \(0.2\). Man is holding one end of a light rope which is connected to a \(50 \mathrm{~kg}\) box \(\mathrm B\). The coefficient of friction between the box and the ground is \(0.5\). The man pulls the rope so as to slowly move the box and ensuring that he himself does not move relative to the ground. If the shoes of the man does not slip on the platform, calculate how such time it will take for the man to fall off the platform. Assume that rope remains horizontal, and coefficient of friction between shoes and the platform is \(0.6\).

A
\(\mathrm{\sqrt{\frac{10}{3}} s}\)

B
\(\mathrm{\sqrt{\frac{15}{3}} s}\)

C
\(\mathrm{\sqrt{\frac{10}{5}} s}\)

D
\(\mathrm{\sqrt{\frac{5}{3}} s}\)

Question 9
1 / -0

Which of the following is the unit of universal gas constant?

A
\(\mathrm{NmK^{-1}{~mol}^{-1}}\)

B
\(\mathrm{{JK}^{-1} {~mol}^{-1}}\)

C
\(\mathrm{{erg} K { }^{-1} {~mol}^{-1}}\)

D
All of the above

Question 10
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What happens to the capacitance of a parallel plate capacitor when the area of the plates, as well as the distance between them, is halved?

A
It doubles

B
It becomes \(4\) times

C
It remains the same

D
It becomes one-half

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Physics Test - ...

Question 1

\(0.617\) and \(1\) respectively

\(1\) and \(.671\) respectively

Both equal to \(1\)

Both equal to \(.671\)

Question 2

\(80 \times 10^{12} C\)

\(4 \times 10^{12} C\)

\(40 \times 10^{12} C\)

\(8 \times 10^{12} C\)

Question 3

\(1.6 \%\)

\(1.0 \%\)

\(1.9 \%\)

\(2.6 \%\)

Question 4

\({W}_{{B}}>{W}_{{A}}>{W}_{{C}}\)

\({W}_{{A}}>{W}_{{B}}>{W}_{{C}}\)

\({W}_{{C}}>{W}_{{B}}>{W}_{{A}}\)

\({W}_{{A}}>{W}_{{C}}>{W}_{{B}}\)

Question 5

\(0.424 n \mathrm{Cm}^{-2}\)

\(47.88 \mathrm{nCm}^{-2}\)

\(0.07 \mathrm{nCm}^{-2}\)

\(4.0 \mathrm{Cm}^{-2}\)

Question 6

6.8 cm

113.9 cm

88 cm

68 cm

Question 7

\(\frac{a_{1}}{a_{2}}=\frac{s_{1}}{s_{2}}=\frac{t_{1}}{t_{2}}\)

\(\frac{a_{1}}{a_{2}}=\frac{s_{2}}{s_{1}}=\frac{t_{1}}{t_{2}}\)

\(\frac{a_{1}}{a_{2}}=\frac{s_{1}}{s_{2}}=\frac{t_{2}}{t_{1}}\)

\(\frac{a_{1}}{a_{2}}=\frac{s_{2}}{s_{1}}=\frac{t_{2}}{t_{1}}\)

Question 8

\(\mathrm{\sqrt{\frac{10}{3}} s}\)

\(\mathrm{\sqrt{\frac{15}{3}} s}\)

\(\mathrm{\sqrt{\frac{10}{5}} s}\)

\(\mathrm{\sqrt{\frac{5}{3}} s}\)

Question 9

\(\mathrm{NmK^{-1}{~mol}^{-1}}\)

\(\mathrm{{JK}^{-1} {~mol}^{-1}}\)

\(\mathrm{{erg} K { }^{-1} {~mol}^{-1}}\)

All of the above

Question 10

It doubles

It becomes \(4\) times

It remains the same

It becomes one-half

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