Title 11th-numerical-physics.pdf ✅

F.Sc. Physics (Part-I) Solved Numerical Problems 1 | P a g e P u b l i s h e r : w w w . H o u s e O f P h y . B l o g s p o t . c o m
F.Sc. Physics (Part-I) Solved Numerical Problems 2 | P a g e P u b l i s h e r : w w w . H o u s e O f P h y . B l o g s p o t . c o m NUMERICAL PROBLEMS F.Sc. Physics, Chapter # 1: Measurements Q # 1. A light year is the distance light travels in one year. How many meters are there in one light year? Given Data: Time Speed of Light To Determine: Calculations: ( ) ( ) Q # 2. (i) How many seconds are there in 1 year? (ii) How many nanoseconds in 1 year? (iii)How many years in 1 second? As Therefore As Therefore As Q # 3. The length and width of a rectangular plate are measure to be 15.3 cm and 12.80 cm , respectively. Find the area of the plate. Given Data: Length of plate , Width of plate To Determine: Calculations: ( )( ) ( ) Q # 4. Add the following masses given in kg upto appropriate precision. 2.189, 0.089, 11.8 and 5.32. Given Data: To Determine: Calculations: ( )
F.Sc. Physics (Part-I) Solved Numerical Problems 3 | P a g e P u b l i s h e r : w w w . H o u s e O f P h y . B l o g s p o t . c o m Q # 5. Find the value of g and its uncertainty using √ from the following measurements. Length of simple pendulum , Time for 20 vibrations . Length was measured by the meter scale of accuracy 1 mm and time by the stop watch of accuracy up to 0.1 s. Given Data: To Determine: Gravitational Acceleration Calculations: Time Period As √ ( ) ( ) ( ) ( ) Uncertainty: Uncertainty in time Period = ( ) ( ) Therefore OR Q # 6. What are the dimensions and units of gravitational constant G in the formula Given Data: Formula To Determine: [ ] Calculation(i) [ ] [ ] [ ] [ ] [ ][ ] [ ] [ ] [ ][ ] [ ] (ii) As So Unit of G: Q # 7. Show that the expression is dimensionally correct, where is the velocity at , is the acceleration and is the velocity at time t. [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] Conclusion: As Hence, the equation is dimensionally correct. F.Sc. Physics, (1st Year), Complete Physics Notes CLICK THE LINK TO DOWNLOAD https://houseofphy.blogspot.com/2017/12/fsc-physics-complete-physics- notes.html
F.Sc. Physics (Part-I) Solved Numerical Problems 4 | P a g e P u b l i s h e r : w w w . H o u s e O f P h y . B l o g s p o t . c o m Q # 8. The speed v of sound waves through a medium may be assumed to depend upon (a) the density of the medium and (b) its modulus of elasticity E which is the ratio of stress to strain. Deduce by method of dimensions, the formula for speed of sound. Given: We have to find: Solution: [ ] [ ] [ ] [ ⁄ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] Let ( ) Writing dimensions on both sides: [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] Equating powers of T: Equating powers of M: Putting values in (1): √ Q # 9. Show that the famous “Einstein’s Equation” is dimensionally consistent. [ ] [ ] [ ] [ ] [ ] [ ][ ] [ ] [ ] [ ][ ] [ ][ ] [ ] Conclusion: As Hence, the equation is dimensionally correct. Q # 10. Suppose we are told that the acceleration of a particle moving in a circle of radius with uniform speed is proportional to some power of , say , and some power of , say , determine the powers of and v. Given: To Determine: Calculations: Writing dimensions on both sides: [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] Equating powers of T: Equating powers of L: F.Sc. Physics, (1st Year), Multiple Choice Questions (MCQs) CLICK THE LINK TO DOWNLOAD https://houseofphy.blogspot.com/2017/12/fsc-physics-1st-year-multiple- choice.html