1 T = ______ Guass.

If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A^T," then " B B^T equals

Calculate a, T_(1), T_(2), T_(1)' & T_(2)' .

The velocity - time graph of a particle in one dimensional motion is shown in figure. Which of the following formulae are correct for describing the motion of the particle over the time- interval t _(1) to t _(2) : (a) x (t _(2)) = x (t _(1)) +v (t _(2) - t _(1)) + ((1)/(2)) a (t _(2) - t _(1)) ^(2) (b) v (t_(2)) = v (t_(1)) + a (t _(1)))//(t_(2) -t _(1)) (C) v _("average")= (x (t _(2)) -x (t _(1)))//(t_(2) -t _(1)) (d) a _("average")= (v(t _(2)) - v (t _(1))) //(t_(2) -t _(1)) (e) x (t _(2))=x(t_(1)) + v _("average") (t _(2) - t _(1)) + ((1)/(2)) a _("average") (t _(2) -t _(1)) ^(2) (f) c (t _(2)) - c (t _(1)) = area under the v-t curve bonunded by the t -axis and the dotted line shown.

The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

The radioactivity of a sample is R_(1) at a time T_(1) and R_(2) at time T_(2) . If the half-life of the specimen is T, the number of atoms that have disintegrated in the time (T_(2) -T_(1)) is proporational to

The surface are frictionless, the ratio of T_(1) and T_(2) is

A carnot engine operating between temperatures T_(1) and T_(2) has efficiency 1/6 . When T_(2) is lowered by 62K, its efficience increases to (1)/(3) . Then T_(1) and T_(2) are respectively:

Examine the following plots and predict whether in (i) P_(1) lt P_(2) "and" T_(1) gt T_(2) , in (ii) T_(1) = T_(2)ltT_(3) , in (iii) V_(1) gt V_(2), "in" (iv) P_(1) gt P_(2) "or" P_(2) gt P_(1)

A particle takes a time t_(1) to move down a straight tunnel from the surface of earth to its centre. If gravity were to remain constant this time would be t_(2) calculate the ratio (t_(1))/(t_(2))

Calculate impulse of force vecF=(3t^2hati-(2t-1)hatj+2hatk)N over the time interval from t=1s to t=3s.