## F.Sc ICS Notes: Physics XI: Chapter 1 Measurements Numerical Problems

__A light year is the distance light travels in one year. How many meters are there in one light year.__

**Numerical Problem 1.1**__How many seconds are there in 1 year?__

**Numerical 1.2 Problem (a)**__How many nanoseconds in 1 year?__

**(b)****How many years in 1 second?**

__(c)____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.__

**Numerical Problem 1.3**__Add the following masses given in kg upto appropriate precision. 2.189, 0.089, 11.8 ans 5.32.__

**Numerical Problem 1.4**__Find the value of g and its uncertainty using formula from the following measurements made during experiment length of simple pendulum l = 100 cm. Time for 20 vibrations = 40.2 s Length was measured by a meter scale of accuracy upto 1 mm and time by stop watch of accuracy upto 0.1s.__

**Numerical Problem 1.5**__What are the dimension and units of gravitational constant G in the formula. G= Gmm/r2.__

**Numerical Problem 1.6**__Show that the expression Vf = Vi + at is dimensionally correct, where Vf is the velocity at time t.__

**Numerical Problem 1.7**__The speed v of sound waves through a medium may be assumed to depend on (a) the density 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.__

**Numerical Problem 1.8**__Show that the famous Einstein equation is dimensionally consistent.__

**Numerical Problem 1.9**__Suppose, we are told that the acceleration that of a particle moving in a circle of radius r with uniform speed v is proportional to some power of r, say r power n and some power of v, say v power m, determine the powers of r and v?__

**Numerical Problem 1.10**
Very nice

ReplyDeleteProve that 2as=vi^2-vf^2 is dimensionlly correct

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