`10 m ^(2) - 31m - 132`

Calculate the product of the uncertainties of displacement and velocity of a moving electron having a mass of 9.1 xx 10^(-28) g . Given : h = 6.626 xx 10^(-34) kg m^2 s^(-1) m = 9.1 xx 10^(-28) g = 9.1 xx 10^(-31) kg

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A. P. and the ratio of 7^(th) and (m - 1)^(th) numbers is 5 : 9. Find the value of m.

Find the (i) angular momentuum (ii) velocity of the electron in the 5^(th) orbit of hydrogen atom (h = 66 xx 10^(-34) Js, m = 9.1 xx 10^(-31) kg)

An electric field vecE = vec I Ax exists in the space, where A= 10 V m ^(-2). Take the potential at (10m, 20m ) to be zero. Find the potential at the origin.

In the following physical units, how many units are there in 1 metre? (i) 1 Astronomical unit (AU =1.496xx10^(11)m (ii) 1 light year =9.467xx10^(15)m (iii) 1 micron (mu)=10^(-6)m (iv) 1 parallacti second (parsec) =3.08xx10^(16)m Given data: 1Au=1.496xx10^(11)m 11y=9.467xx10^(15)m 1mm=10^(-6)m 1 parsec =3.08xx10^(16)m

Calculate the uncertainty in the velocity of a wagon of mass 3000 kg whose position is known to an accuracy of +- 10 pm. (Planck's contant = 6.626 xx 10^(-34) kg m^2 s^(-1)) Given : m = 3000kg , Deltax = 10 p m = 10 xx 10^(-12) m = 10^(-11) m