Important Numericals for Physics HSC Board Exam 2021

     
       IMP Numericals 2021

1) A pilot of mass 90 kg in fighter aircraft executes a vertical circle of radius 2.8 km at a constant speed of 300 m/s. Calculate the force exerted by seat on the pilot i) at the bottom of the loop ii) at the top of the loop [ g=10 m/s^2]

2) Calculate the escape speed of a body from the surface of a planet of a radius 3000 km if the acceleration due to gravity at the surface of the planet is 2.5 m/s^2

3) A cylindrical mass of 10 kg rolls without slipping on a horizontal surface. At the instant the centre of a mass has a speed of 5 m/s^2 deter i) the transitional kinetic energy ii) the rotational kinetic energy about the axis through the centre of mass iii) the total kinetic energy of the cylinder.

4) A particle executes SHM with amplitude 6 cm and period 3 s. Find the speed of the particle at a point where its acceleration is half the maximum acceleration.

5) When a tensile load is applied to 1.8 cm diameter copper rod, the diameter is reduced to 1.798cm. Determine the applied load .
[Y= 1.17×10^11 Pa, sigma =0.35]

6) A capillary tube of radius 0.7 mm is dipped vertically in a liquid of a surface tension 0.08 N/m and density 0.9 g/cm^3. Calculate thee height of the capillary rise if the angle of contact is 10°.

7) A set of 18 tunning fork is arranged in increasing order of frequencies. Each fork produces X beats per second with previous one. The last one is an octave of the first. The fifth fork frequency 100 Hz . Find X.

8) In Melde's experiment, the loops on the string changes from 6 to 7 by the addition of a weight of 0.020 kg. Find the initial tension applied of the string.

9) Find the temperature at which i)the rms speed ii) The average kinetic energy of the molecules of an ideal gas are double their respective value at NTP.

10) The wavelength of a monochromatic beam of light is 6000A° in a air. Find the number of waves per metre in air and in Glass of refractive index 1.52  .