A physical quantity `X`is given by `X=(A-C)/(A+2C)` where `A` and `C` are measured independently. `A=10pm0.1` in `SI` units and `C=5pm0.1` in `SI` units. If percentage uncertainty in `X` is `a`, write value of `10a`.

If x=10.0pm0.1 and y=10.0pm0.1 , then 2x-2y is equal to

Given : l_(i) = 44.2 pm = 0.1 and l_(2) = 23.1 pm 0.1 the uncertainty in l_(1) + l_(2) is

The measures of length and breadth of a rectangle are l=(30.0pm0.2) cm and b=(10.0pm0.1) cm. What is the percentage error and absolute error in area?

The equation of a wave motion is given by y = 7 sin(7pi t - 0.4 pi x + (pi)/(3)) , where all quantities are measured in SI units. Then the ratio of wave velocity to the maximum particle velocity is

The dimensional formula of a physical quantity is known to be [M^(1)L^(2)T^(-3)] . Write down the units of this quantity in C.G.S and S.I. units and calculate the multplication factor for conversion from S.I. to C.G.S units.

Let x={:[(a^(2)b^(2))/(c)]:} be the physical quantity. If the percentage error in the measurement of physical quantities a,b, and c is 2,3 and 4 per cent respectively, then percentage error in the measurement of x is

A physical quantity X depends on two other physical quantities A and B of same dimensions and unit as (1)/(x)=(1)/(A)+(1)/(B) If A=60+-2andB=30+-1 then percentage error in the measurement of X from A and B is

In the measurement of a physical quantity X = (A^(2) B)/(C^(1//3) D^(3)) . The percentage erros introduced in the measurments of the quantities A,B,C and D are 2%,2%,4% and 5% respectively. Then the minimum amount of percentage of error in the meaurement fo X is contributed by

A physical quantity X is related to four measurable quantities a,b,c and d as follows X=a^2b^3c^((5)/(2))d^-2 . The percentage error in the measurement of a,b,c and d are 1%,2%,3% and 4% repectively. What is the percentage erroe in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.