A physical quantity X is given by X=`(A-C)/(A+2C)` where A and C are measured independently. A=10`+-`0.1 in SI units and C= 5 `+-` 0.1 in SI units .If percentage uncertainty in X is `alpha`. Write the value of 10`alpha`.

A physical quantity is given by X=M^(a)L^(b)T^(c) . The percentage error in measurement of M,L and T are alpha, beta and gamma respectively. Then maximum percentage error in the quantity X is

The velocity of a body is given by v=At^2+Bt+C . If v and t are expressed in SI, what are the units of A,B and C?

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

The electric field in a region is given by oversettoE=(Ax+B)hati Where E is in NC^(-) and x is in metres. The values of constants are A=20SI Unit and B==10SI unit. If the potential at x=1 is V_(1) and that at x=-5 is V_(2) then V_(1)-V_(2) is:

The potential energy of a particle is given by formula U=100-5x + 100x^(2), where U and 'x' are in SI unit .if mass of particle is 0.1 Kg then find the magnitude of its acceleration

A physical quantity x is calculated from x = ab^(2)//sqrt(c ) . Calculate the percentage error in measuring x when the percentage errors in measuring a , b , and c are 4 , 2 , and 3%, respectively .

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

If alpha,beta are roots of the equation x^2-a(xx+1)-c=0, then write the value of (1+alpha)(1+beta)dot

The two specific heat capacities of a gas are measured as C_(P)=(12.28+0.2) units and C_(V)=(3.97+0.3) units, if the value of gas constant R is 8.31 pm 0 . x units, the vaslue of x is (Relation : C_(P)-C_(V)=R )