wave function of a particle with mass m is given by ψ(x)={ Acosαx −
π
2α
≤x≤+
π
2α
0 otherwise , where α=1.00×1010/m.
(a) Find the normalization constant.
(b) Find the probability that the particle can be found on the interval 0≤x≤0.5×10−10m.
(c) Find the particle’s average position.
(d) Find its average momentum.
(e) Find its average kinetic energy −0.5×10−10m≤x≤+0.5×10−10m.
Answer:
The value of R is
.
(B) is correct option.
Explanation:
Given that,
In analyzing distances by apply ing the physics of gravitational forces, an astronomer has obtained the expression

We need to calculate this for value of R


So, The nearest option of the value of R is 
Hence, The value of R is
.
The Young modulus is given by:

where
F is the force applied

is the initial length of the wire

is the cross-sectional area of the wire

is the stretch of the wire
The wire in the problem stretches by

of its length, this means

We can also calculate the area of the wire; its radius is in fact half the diameter:

and so the area is

We know the force applied to the wire, F=20 N, so now we have everything to calculate the Young modulus:
Answer:
1) in metal object heat transfer through the conduction .In vacuum heat transfer through only radiation .
In only gaseous state or in liquid state the heat transfer through convection hence option D is correct
The answer is c Ai3n3 yea that’s the right answer idk