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Physics Test-19

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Physics Test-19
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  • Question 1
    4 / -1

    Which of the following is a good conductor of electricity?

    Solution

    Silver have a maximum number of electrons, so it is the best conductor of electricity because it contains a higher number of movable atoms (free electrons). Thus the valence shells and crystal structure of silver makes it the best conductor of electricity. Copper, silver, aluminum, gold, steel, and brass are common conductors of electricity.

  • Question 2
    4 / -1

    As the temperature increases, the thermal conductivity of a gas __________.

    Solution

    As the temperature increases, the thermal conductivity of a gas increases.

    Gases transfer heat by the collision of molecules. As the temperature increases, the kinetic energy of molecules of gases also increases and eventually collision between molecules also increases which increases the thermal conductivity of gases.

  • Question 3
    4 / -1

    The figure below shows a network of eight resistors numbered \(1\) to \(8\) each equal to \(2~ \Omega\), connected to a \(3 ~V\) battery of negligible internal resistance. The current \(I\) in the circuit is:

    Solution

  • Question 4
    4 / -1

    If the direction of flow of current is opposite in the two parallel wires separated by a small distance, then the wires will:

    Solution

    When the current flows in the same direction in the two parallel wires then both wires attract each other and if the current flows in the opposite direction in the two parallel wires then both wires repel each other.

    Therefore, if the direction of flow of current is opposite in the two parallel wires separated by a small distance, then the wires will repel each other.

  • Question 5
    4 / -1

    Which of the following formulae for kinetic energy E given below can be ruled out on the basis of dimensional arguments?

    Given: d = density, V = Volume, m =  mass of body in kg, c and u are velocity (m/s), acceleration, a = m/s2, SI unit of energy is joules = kg m2 s-2.

    Solution

    The dimension of kinetic energy is

    \([E] = [ML^2T^{-2}]\)

    Dimensions of mass, density, volume, velocity and acceleration are\([{m}]=[{M}]\)

    \([{d}]=\left[{ML}^{-3}\right]\)

    \([{V}]=\left[{L}^{3}\right]\)

    \([{u}]=\left[{LT}^{-1}\right]\)

    \([{a}]=\left[{LT}^{-2}\right]\)

    A. Dimensions of the given options are:

    \([{E}]=\left[\frac{3}{16} m c^{2}\right]\)
    \(\Rightarrow\left[\frac{3}{16} m c^{2}\right]=[m][c]^{2}\)
    \(\Rightarrow\left[\frac{3}{16} m c^{2}\right]=[M]\left[L T^{-1}\right]^{2}\)
    \(\Rightarrow\left[\frac{3}{16} m c^{2}\right]=\left[M L^{2} T^{-2}\right]\)
    The presence of numbers or constant terms does not affect the dimensions.
    Thus, option 'A' can not be ruled out.
    B. \([E]=\frac{1}{2} m[a \times t]^{2}\)
    \(\left.\Rightarrow] \frac{1}{2} m[a \times t]^{2}\right]=[M]\left\{\left[L T^{-2}\right][T]\right\}^{2}\)
    \(\Rightarrow\left[\frac{1}{2} m[a \times t]^{2}\right]=\left[{ML}^{2} T^{-2}\right]\)
    Thus, option 'B' also can not be ruled out.
    C. \([E]=\frac{1}{2}\left[m c^{2}\right]+[m a]\)
    \(\Rightarrow \frac{1}{2}\left[m c^{2}\right]+[m a]=[m][c]^{2}+[m][a]\)
    \(\Rightarrow \frac{1}{2}\left[m c^{2}\right]+[m a]=\left[M L^{2} T^{-2}\right]+\left[M L T^{-2}\right]\)
    The 2nd term is not matched with the first term. From the principle of homogeneity of dimensions, the given formula is wrong.
    Thus, option 'C' can be ruled out.
    D. \([E]=\left[\frac{m^{2} u^{2}}{d x v}\right]\)
    \(\Rightarrow[E]=\left(\left[M^{2}\right]\left[L T^{-1}\right]^{2}\right) /\left(\left[M L^{-3}\right]\left[L^{3}\right]\right)\)
    \(\Rightarrow[E]=\left[M L^{2} T^{-2}\right]\)
  • Question 6
    4 / -1

    According to Gauss’s law, if \(E\) is _________, the charge density in the ideal conductor is zero.

    Solution

    The Electric Field for a uniformly distributed spherical charge is given by

    Gauss' law states that the electric flux through any closed surface is equal to the total charge inside divided by \(\varepsilon _{0}\).

    Charges are the source and sinks of the electric field. Since in a conducting material the electric field is everywhere zero, the divergence of \(E\) is zero, and by Gauss law, the charge density in the interior of the conductor must be zero.

  • Question 7
    4 / -1

    The Electromagnetic Waves are:

    Solution

    Electromagnetic waves are the transverse waves.

    Transverse Waves:

    • Those waves whose direction of propagation and direction of disturbance is always perpendicular, are known as transverse waves.
    • These waves produced in a medium that can sustain shearing strain.
    • Example: Electromagnetic Waves, Ripples on the surface of water, Vibrations in a guitar string.
  • Question 8
    4 / -1

    A ball is dropped from a height of \(80~ m\). The distance travelled by it in the fourth second will be _______.

    (take \(g=10~ m / s ^{2}\) )

    Solution

    Concept:

    The distance travelled by a body in \(n ^{\text {th }}\) second is given by:

    \(S_{n}=\frac{u+a}{2}(2 n-1)\)

    Where \(u\) is the initial velocity of the body, \(a\) is acceleration, and \(n\) is \(n ^{\text {th }}\) second.

    Calculation:

    Given that:

    The ball is dropped from \(80 m\) height, so initial velocity \(( u )=0~ m / s\)

    Acceleration is due to gravity \(( a )=10~ m / s ^{2}\)

    and \(n=4\)

    For \(n ^{\text {th }}\) second, \(S_{n}=\frac{u+a}{2}(2 n-1)\)

    Distance travelled in \(4 ^{\text {th }}\) second \(\left( S _{4}\right)=0+\frac{10}{2}(2 \times 4-1)=35~ m\)

    Therefore, the distance travelled by the ball in the fourth second will be \(35~ m\).

  • Question 9
    4 / -1

    What is the S.I. unit of power?

    Solution

    Power is defined as the rate of doing work or the rate of transfer of energy. If an agent does a Work (W) in Time (T), then power is given by:

    \(Power\) \(=\frac{\text { Work }}{\text { Time }}\)

    It is expressed in Watt (W).

  • Question 10
    4 / -1

    In the potentiometer circuit shown in the figure, the balance point with \({R}=10 \Omega\) when switch \({S}_{1}\) is closed and \({S}_{2}\) is open is \(50cm,\) while that when \({S}_{2}\) is closed and \({S}_{1}\) is open is \(60cm\). What is the value of \({X} ?\)

    Solution
    Let \(K\) be the potential gradient of the potentiometer wire due to current cell \(E\) and be the current from cell \(E\) and be the current through resistance \(10 \Omega\) and \(x \Omega\) due to cell \(E'\).
    Potential difference across \(10 \Omega=I \times 10\) volt
    Potential difference across \(x \Omega=I \times x\)
    When switch \(S_{1}\) is closed and \(S_{2}\) is open, the potential difference across \(10 \Omega\) is balanced across length \(50 {~cm}\) is \(I \times 10=K \times 50\)
    When switch \(S_{2}\) is closed and \(S_{1}\) is open, the potential difference across \((10+x) \Omega\) is balanced across length \(60\) \({cm}\) is
    \(I(10+x)=K \times 60\)
    Now, \(10+\frac{x}{10}=\frac{60}{50}\)
    \(=\frac{6}{5}\) or \(x=2 \Omega\)
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