Related InterviewSolutions

• Find the dimensions of a. linear momentum b. frequency and c. pressure
• If velocity,time and force were chosen as basic quantities, find the dimensions of mass.
• The heat produced in a wire carrying an electric current depends on the current, the resistance and the time. Assuming that the dependuance is of the product of powers type, guress an eqn. between these quantites uning dimesional analysis. The dimensional formula of resistance is `ML^2 A^(-2) T^(-3)` and heat is a form of energy.
• The kinetic energy K of a rotating body depends on its moment of inertia I and its angular speed `omega`. Assuming the relation to be `K=kI^(alpha) omega^b` where k is a dimensionless constatnt, find a and b. Moment of inertia of a spere about its diameter is `2/5Mr^2`.
• The surface tension of water is 72 dyne//cm. convert it inSI unit.
• The height of mercury column in a barometer in a Calcutta laboratory was recorded to be 75 cm. Calculate this pressure in SI and CGS units the following data, Specific gravity of mercury = 13.6, Density of `water = 10^3 kg/m^3, g=9.8 m/s^2` at Calcutta. Pressure `=h rho g` in usual symbols.
• Theory of reltivity reveals that mass can be converted into energy. The energy E so obtained is proportional to certain powers of mass m and the speed c of light. Guess a relation among the quantities using the method of dimensions.
• Express the power of a 100 wtt bulb in CGS unit.
• The normal duratioin of I.Sc. Physics practical period in Indian colleges is 100 minute. Express this perod in microcenturies. 1 microcentruy `=10^-6xx100` years. How many microcenturies did you sleep yesterday?
• Suppose a quantilty x can be dimensionally represented in terms of M,L and T, that is `[x], M^aL^bT^c`. The quantity massA. can always be dimensionally represented in terms of L, T and xB. can never be dimensionally represented in terms of L, T and x.C. May be represented in terms of L, T and x if `a!=0`D. does not exist