1. The energy of a photon is given by E = hf. Find the dimension and unit of Plank’s constant h, where f is the frequency of radiation.
   (2076 ‘B’)
2. What is the difference between accurate and precise measurements?
   (2076 ‘C’, 2075 ‘A’, 2074 ‘B’, 2067)
3. In one of the printed documents the unit of universal gravitational constant is given as Nmkg^-2. Check its correctness from dimensional analysis.
   (2075 ‘B’)
4. Is dimensionally correct equation necessarily be a correct physical relation? What about dimensionally wrong equation?
   (2074 ‘S’, 2066 ‘Old’, 2063)
5. A student writes an expression for the momentum (p) of a body of mass (m) with total energy (E) and considering the duration of time (t) as p =[latex]\frac{2mE}{t}[/latex] . Check its correctness on dimensional analysis.
   (2073 ‘S’)
6. Check dimensionally the correctness of the Stoke’s formula, F = 6  where symbols have their usual meanings. (2073 ‘C’)
7. Check the correctness of the formula, PV = RT. (2072 ‘S’)
8. The diameter of a steel rod is given as 56.47  0.02 mm. What does it mean? (2072 ‘C’)
9. The length of rod is exactly 1 cm. An observer records the readings as 1.0 cm, 1.00 cm and 1.000 cm, which is the most accurate measurement? (2072 ‘D’)
10. What do you mean by significant figure? (2071 ‘S’)
11. A student writes an expression for the force causing a body of mass (m) to move in a circular motion with a velocity (v) as F = mv². Use the dimensional method to check its correctness. (2071 ‘D’)
12. Check the correctness of the relation h =  where symbols have usual meaning. (2070 ‘S’ – ‘B’)
13. Name any two physical quantities which have the same dimensions. Can a quantity have unit but no dimension? Explain. (2070 ‘C’)
14. If y = a + bt + ct², where y is the distance and t is the time. What is the dimension and unit of c? (2070 ‘D’)
15. Find the dimensions of Planck’s constant ‘h’ from the given equation:  where  is wavelength and p is the momentum of photon. (2069 ‘S’)
16. What are the limitations of dimensional analysis? (2069 ‘A’)
17. Check the correctness of the formula t =  using dimensional analysis, t is the time period of simple pendulum, l is the length of simple pendulum and g is the acceleration due to gravity. (2069 ‘B’)
18. The force F is given in terms of time ‘t’ and displacement ‘x’ by the equation F = AsinBx + CsinDt. What is the dimension of D/B? (2069 ‘Old’ – ‘B’)
19. Write dimensional formula of gravitational constant and latent heat. (2069 ‘Old’, 2067 ‘S’, 2056)
20. Check the correctness of formula t =  where t be the time period, m is the mass and k is the force per unit displacement. (2064)
21. Derive the dimensional equation of Power. (2063 ‘S’)
22. A student writes  for escape velocity. Check the correctness of the formula by using dimensional analysis. (2062)
23. Convert 10 ergs in joules. (2061)
24. Check the correctness of the formula v² = u² + 2as using dimensional analysis.
25. Taking force, length and time to be fundamental quantities, find the dimensional formula for the density.
26. The escape velocity of a body is v = . Check the correctness of the formula using dimension.
27. The density of gold is 19.3 g/cc. Express its value in SI unit.
28. Obtain dimensions of specific heat capacity and gravitational constant.