Q 1.1. A light year is the distance light travels in one year. How many meters are there in one light year: (speed of light=3.0 x 10^8m/s).
Q 1.2.a) How many seconds are there in 1 year? b) How many nanoseconds in 1 year? c) How many years in one second?
Q 1.3. The length and width of a rectangular plate are measured to be 15.3 cm and 12.80 cm, respectively.Find the area of the plate.
Q 1.4. Add the following masses given in kg upto appropriate precision. 2.189, 0.089, 11.8 and 5.32.
Q 1.5. Find the value of ‘g’ and its uncertainty using T = 2π√(l/g) from the following measurements made during an experiment Length of simple pendulum l=100 cm Time for 20 vibrations=40.2 s Length was measured by a meter scale of accuracy up to 1 mm and time by stop watch of accuracy up to …
Q 1.7. Show that the expression vf=vi+at is dimensionally correct,where vi is the velocity at t=0, a is acceleration and vf is the velocity at time t.
Q 1.8. The speed v of sound waves through a medium may be assumed to depend on (a)the density ρ of the medium and (b)its modulus of elasticity E which is the ratio of stress to strain.Deduce by the method of dimensions, the formula for the speed of sound.