1: The length of a space ship is measured to be exactly one-third of its proper length. What is the speed of the space ship relative to the observer? (Answer: 0.9428) 

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2: The time period of a pendulum is measured to be 3s in Inertial frame of the pendulum. What is the period when measured by an observer moving with a speed of 0.95c with respect to the pendulum? (Answer: 9.65) 

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3: A metal, whose work function is 3.0 eV, is illuminated by light of wavelength 3 ｘ 10⁻⁷ m. Calculate the (a) threshold frequency, (b) maximum energy of photo-electrons and (c) stopping potential (Answer: (a) 0.72 ï½˜ 10¹⁵ Hz, (b) 1.16 eV (c) 1.16V) 

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4: A50 keV X-ray is scattered through an angle of 90°. What is the energy of X-ray after Compton Scattering? (Answer: 45.5 keV) 

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5: The speed of electron is measured to be 5 ï½˜10⁻³ m s⁻¹ to an accuracy of 0.003 %. Find the uncertainty in determining the position of this electron (Answer: 4.84 ï½˜ 10⁻³ ) 

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