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Physics Test 3

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Physics Test 3
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Weekly Quiz Competition
  • Question 1
    4 / -1

    Due to the superposition of the certain number of waves, the equation of the particle at a point is given by z= 40sin2(100t)*cos(50t)sin(50t). Find the number of waves superimposed in the given wave equation.

    Solution

    z= 40sin2(100t)*cos2(100t) 

    = 10(1-cos(50t))*sin(100t) 

    = 10sin(100t)-10sin(100t)cos(50t) 

    = 10sin(100t)- 10(sin(75t)-sin(25t)) 

    = 10sin(100t) – 10sin(75t) + 10sin(25t) 

    Hence, 3 waves are superimposed.

     

  • Question 2
    4 / -1

    A block of mass 5 kg is dropped from a height of 5 m over a board which is supported by two parallel and same springs of spring constant 100 N/m. Find the work done by each spring when the block comes to rest. (Take g= 10 m/s2)

    Solution

    Velocity of the block when it hits the board= √2*10*5= 10 m/s 

    Using work energy principle, 

    KEfinal – KEinitial= Wgravity +Wsprings 

    Springs are parallel with equal spring constants, Hence two springs can be replaced by a spring with k= 200 N/m 

    Now, 

    KEfinal= 0 ... (when block comes to rest) 

    0 - KEinitial= -mgH – 1/2 k*H2 

    -1/2 5*102= -10*10*H – 0.5*200*H 

    H= 1.25 m 

    Therefore, work done by each spring= -1/2 *100*(1.25)2= -78.125 J

     

  • Question 3
    4 / -1

    In the first case, a spring is pulled by 10 cm while in the second case, four springs are attached in parallel and pulled simultaneously. By what distance, should the four springs be pulled to get energies stored in them, in total, equal to the energy stored in the spring from the first case?

    Solution

    For single spring, 

    Energy= 1/2 *k*(10)2= 50k 

    For three spring, 

    Keq= k+k+k+k= 4k 

    Energy= 1/2 *(4k)*x2= 50k 

    x= 5 cm

     

  • Question 4
    4 / -1

    Which one of the following statements is true?

     

    Solution

    We cannot tell anything about the error from a precise measurement.

    Accurate measurements have less error. But it is possible that there is a greater standard deviation. But of course, the errors are much lower.

     

  • Question 5
    4 / -1

    If mass of proton= 1.008 amu and mass of neutron= 1.009 amu, then the binding energy per nucleon for 12C6 (mass= 12.0107 amu ) is,

    Solution

    B.E. (MeV)= mass defect *931.5 /Atomic no. 

    Mass defect= (1.008*6 + 1.009*6 -12.0107)= 0.0913amu 

    B.E.= 0.0913* 931.5 /12= 7.1 MeV

     

  • Question 6
    4 / -1

    Which of the following is true?

    Solution

    The work function is the property of a particular metal surface and is constant for a particular metal. 

    Photoelectric effect directly depicts particle nature of light since it is photon-electron interaction. 

    For a particular incident photo and a metal surface, maximum KE of emitted electrons is fixed. It cannot be more than a certain limit.

     

  • Question 7
    4 / -1

    If the frequency of 4*1014 Hz is incident on a metal surface, find the work function of the metal. Take the stopping potential as 1 eV.

    Solution

    hν= φ + eVo ...... (eVo =stopping potential) 

    Substituting the values, 

    φ= 0.66 eV

     

  • Question 8
    4 / -1

    Which of the following is not true?

    Solution

    All the other options are either statements or consequences of De-Broglie hypothesis. 

    Wavelength is inversely proportional to mass.

     

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