Related InterviewSolutions

• A gas bubble , from an explosing under water , oscillates with a period T proportional in `P^(0)D^(0)E^(0)` , where p is the static prossure , d is the density of water and E is the total energy of the explosion . Find the value of` a , b` and` c` .
• In a view unit system, 1 unit of time is equal to 10 second, 1 unit of mass is `5 kg` and 1 unit of length is `20 m`. In the new system of units 1 unit of energy is equal to :A. 20 jouleB. `(1)/(20)` jouleC. 4 jouleD. 16 joule
• The dimensins of `a/b` in the equation `P=(a-t^(2))/(bx)` where `P` is pressure `x` is distance and `t` is time, areA. `[M^(2)LT^(-3)]`B. `[MT^(-2)]`C. `[LT^(-3)]`D. `[ML^(3)T^(-1)]`
• A cube has a side of length `1.2 xx 10^(-2)m`. Calculate its volume.A. `1.7 xx 10^(-6)m^(3)`B. `1.73 xx 10^(-6) m^(3)`C. `1.70 xx 10^(-6) m^(3)`D. `1.732 xx 10^(-6)m^(3)`
• `A` quantity` X` is given by `epsilon_(p) L(delta V)/(delta t)` , where `epsilon_(p)` is the permitivity of free space ,L is a length , `delta V` is a potential diffrence and ` deltat ` is a time interval . The dimensional formula for `X` is the seme as that ofA. resistanceB. chargeC. voltageD. current
• Given that` y = A sin [((2 pi )/(lambda)(ct - x))]` where` y` and `x` are measured in metres ,Which of the following statements is true ?A. The unit of ` lambda`is same as that of` x `and` A`B. The unit of `lambda ` is same as that of `x` but not of ` A`C. The unit of c is same as that of `(2 pi)/(lambda)`D. The unit of `(a -x )` is same as that of `(2 pi)/(lambda)`
• The equation of a wave is given by `y = a sin omega [(x)/v -k]` where ` omega ` is angular velocity and v is the linear velocity . The dimensions of k will beA. `[T^(2)]`B. `[T^(-1)]`C. `[T]`D. `[LT]`
• The contripetal force F acting on a particle moving uniformly in a circle may depend upon mass (m), velocity (v) and redio ( r) of the circle . Derive the formula for F using the method of dimensions.
• Write the dimensions of a and b in the relation ,` P = (b-x^(2))/(at)` , where P is power ,x is distance and t is time
• If unit of length and time is doubled the numerical value of g (acceleration due to gravity ) will beA. doubledB. halvedC. four timeD. same