A particle has an initial velocity 3i^+4j^ and an acceleration of 0.4i^+0.30j^. Its speed after 10s is
The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is
Statement 1: The variance of first n even natural numbers is 4n2−1Statement 2: The sum of first n natural numbers is (n2n+1and the sum of squares of first n natural numbers is (n(n+1)62n+1
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire -2 has cross-sectional area 3A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?