Central maximum = d* wavelength/ D
thus
12*10-^3 = 3.4*6.32*10-^7/D
D = 3.4*6.32*10-^7/12*10-^3
D = 1.79*10-^4 m
Mass = 0.201kg
Energy = 15J
temperature change = 10C
Energy(E) = mass(m) × specific heat capacity(c) × temperature change(θ)
we can rearrange this to make specific heat capacity the subject
c =

c =

c =7.46268657
Explanation:
It is given that,
Velocity of the particle moving in straight line is :

We need to find the distance (x) traveled by the particle during the first t seconds. It is given by :


Using by parts integration, we get the value of x as :

Hence, this is the required solution.