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Doubts from Physics for Class XI – Collisions, Spring Constant, Gravitation, Measurement

  1. A billiard ball A moving with an initial speed of 1 m/s, undergoes a perfectly elastic collision with another identical ball B at rest. A is scattered through an angle of 30˚. What is the angle of recoil of B? What is the speed of ball A after the collision?
  2. Two springs have force constants K1 and K2 (K1> K2).On which spring is more work will be done if : (i) when they are stretched by the same force? and (ii) they are stretched through the same distance?
  3. Show that the acceleration of free fall g at the surface of earth and the gravitational constant G are related by the expression
    g = 4\3 Π p G R,

  4. The radius of curvature of a concave mirror ,measured by a spherometer ,is given by

R = l2 /6h + h/2 The value of l and h are 4.0 cm and 0.065 cm respectively, where l measured by a meter scale and h by a spherometer.Find the error in the measurement of R.

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