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Physics Test - 2

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Physics Test - 2
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  • Question 1
    1 / -0

    A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2 m and 3 m, respectively, from the source. The ratio of intensities of the waves at P and Q is

    Solution

  • Question 2
    1 / -0

    Directions: The following question contains 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct

    In the experiment to determine the speed of sound using a resonance column,

    Solution

    Correct Answer : prongs of the tuning fork are kept in a vertical plane

  • Question 3
    1 / -0

    In photoelectric effect, we assume that photon energy is proportional to its frequency and is completely absorbed by the electrons in metal. Then, the photoelectric current 

    Solution

    Photocurrent depends upon the rate of transmission of charges from one end to other. The number of charges released will depend only on number of electrons falling on the metal plates, given by intensity. Frequency increases only the kinetic energy of electrons. 

  • Question 4
    1 / -0

    The threshold frequency for a metallic surface corresponds to an energy of 6.2 eV, and the stopping potential for a radiation incident on this surface is 5V. The incident radiation lies in :

    Solution

    For photo-electron emission, 

    (Incident energy \(E)=(\mathrm{K} . \mathrm{E} .)_{\max }+\)(Work function \(\phi\))

     or \(E=K.E_{max}+\phi\)

    or \( E=5+6.2\)

    or \(E=11.2 \mathrm{eV}\)

    or \(E=11.2 \times\left(1.6 \times 10^{-19}\right) \mathrm{J}\)

    As we know that:

    \(\therefore \quad \frac{h c}{\lambda}=11.2 \times 1.6 \times 10^{-19}\)

    or \(\lambda=\frac{\left(6.63 \times 10^{-34}\right) \times\left(3 \times 10^{8}\right)}{11.2 \times 1.6 \times 10^{-19}} \mathrm{~m}\)

    or \(\lambda=1110 \times 10^{-10} \mathrm{~m}\)

    or \(\lambda=1110\) Å

    The incident radiation lies in the ultraviolet region.

  • Question 5
    1 / -0

    A photoelectric cell is illuminated by a point source of light 1 m away. When the source is shifted to 2 m, then

    Solution

  • Question 6
    1 / -0

    The figure shows variation of photocurrent with anode potential for a photosensitive surface for three different radiations. Let Ia, Ib and Ic be the intensities and ab and c be the frequencies for the curves a, b and c, respectively. Then,

    Solution

  • Question 7
    1 / -0

    Which of the following statement is incorrect regarding transverse wave?

    Solution

    In the transverse wave, the direction of disturbance and direction of propagation is always perpendicular.

    Electromagnetic waves are transverse in nature. Electromagnetic waves are produced by an oscillating charged particle. Transverse wave generally forms in a medium that can sustain shearing strain.

  • Question 8
    1 / -0

    During an object falling from height, its weight remains ________.

    Solution

    The weight of the body can be calculated as,

    W = mg

    Acceleration of the body is g downward.

    So a pseudo force will act in an upward direction which cancels the weight of the body.

    Therefore the weight of the body in free fall is zero.

    Hence the correct option is (A).

  • Question 9
    1 / -0

    The displacement of a particle in a periodic motion is given by \(\mathrm{y}=4 \cos ^{2}\left(\frac{\mathrm{t}}{2}\right) \sin (1000 \mathrm{t})\). This displacement may be considered as the result of superposition of \(\mathrm{n}\) independent harmonic oscillations. Here \(\mathrm{n}\) is:

    Solution

    The displacement equation is given as:

     \( \mathrm{y}=4 \cos ^{2}\left(\frac{\mathrm{t}}{2}\right) \sin (1000 \mathrm{t})\).....(1)

    Using \(2 \cos ^{2} \theta=1+\cos 2 \theta\) in equation (1),

    \(\mathrm{y}=2[1+\operatorname{cost}] \sin (1000 \mathrm{t})\)

    \(\therefore \mathrm{y}=2 \sin (1000 \mathrm{t})+2 \sin (1000 \mathrm{t})\cos t\) ....(2)

    Using \(2 \sin A \cos B=\sin (A+B)+\sin (A-B)\) in equation \((2)\)

    \(\mathrm{y}=2 \sin (1000 \mathrm{t})+\sin (1000 \mathrm{t}+\mathrm{t})+\sin (1000 \mathrm{t}-\mathrm{t})\)

    \(\Rightarrow \mathrm{y}=2 \sin (1000 \mathrm{t})+\sin (1001 \mathrm{t})+\sin (999 \mathrm{t})\)

    Thus 3 harmonic oscillations superimpose on each other to give the resultant motion \(\mathrm{y}\).

  • Question 10
    1 / -0

    A particle in SHM is described by the displacement equation x(t) = A cos (ωt + θ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm/s, then what is its amplitude? (The angular frequency of the particle is πs-1.)

    Solution

  • Question 11
    1 / -0

    Three identical spheres, each of mass \(1 \mathrm{~kg}\) are placed touching each other with their centres on a straight line. Their centres are marked \(\mathrm{P}, \mathrm{Q}\) and \(\mathrm{R}\) respectively. The distance of centre of mass of the system from \(P\) is:

    Solution
    0
  • Question 12
    1 / -0

    For the given uniform square lamina ABCD whose centre is O,

    Solution

    Using perpendicular axis theorem: 

    2IAC = I0, where I0 is the moment of inertia about an axis perpendicular to the plane of the lamina and passing through O. 

    Both diagonals are perpendicular to each other.

    Further, 2IEF = Io

    Two medians (lines dividing the sides of the square equally) are also perpendicular to each other, also perpendicular to the axis passing through the centre and perpendicular to the plane of lamina. 

  • Question 13
    1 / -0

    When a disc rotates with uniform, angular velocity, which of the following is not true ?

    Solution

    The rate of change of angular velocity is defined as angular acceleration. If particle has angular velocity ω1 at time

    t1, and angular velocity ω2 at time t2 , then

    Angular acceleration α = ω2 – ω1 / t2 – t1

    Hence, the correct option is ( D ).

  • Question 14
    1 / -0

    A bird sitting on a high tension electric wire does not get electrocuted, because:

    Solution

    A bird sitting on a high tension electric wire does not get electrocuted, because their feet are not good conductors of electricity.

    Electricity flows along the path of least resistance. Birds don’t get shocked when they sit on electrical wires because they are not good conductors of electricity. Their cells and tissues do not offer electrons an easier route than the copper wire they’re already traveling along.

  • Question 15
    1 / -0

    Escape velocity of a particle depends on its mass \(\mathrm{m}\) as:

    Solution

    Escape velocity:

    It is the minimum velocity with which a body should be projected from the surface of the planet so that the body reaches infinity.

    It is given as,

    \(\Rightarrow v_{e}=\sqrt{\frac{2 G M}{R}}\)

    Where \(v_{e}=\) escape velocity, \(G=\) gravitational acceleration, \(M=\) mass of the planet and, \(R=\) radius of the planet

    In the given expression of escape velocity, there is no term associated with the mass of the particle.

    So, escape velocity is independent of the mass of the object. We can say that it does not depend upon mass or depend upon \(\mathrm{m}^{0}\) which is equal to one.

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