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Copper crystallizes in fcc with a unit cell length of 361pm. What is the radius of copper atom ?

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A particle has an initial velocity $3i^+4j^ $ and an acceleration of $0.4i^+0.30j^ $. Its speed after 10s is

How many real solutions does the equation $x_{7}+14x_{5}+16x_{3}+30x560=0$have?

Let A be a $2×2$ matrix with real entries. Let I be the $2×2$identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that $A_{2}=I$.Statement 1: If $A=I$and $A=−I$, then det $A=−1$.Statement 2: If $A=I$and $A=−I$, then $tr(A)=0$.

A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

The shortest distance between the line $yx=1$ and the curve $x=y_{2}$ is(A) $832 $(B) $823 $(C) $532 $ (D) $43 $

The differential equation of all circles passing through the origin and having their centres on the x-axis is

The area enclosed between the curves $y_{2}=xandy=∣x∣$is