The answer to this question is C
Answer:
Distance of the object is 8.6 m
Explanation:
As we know that the speed of sound at t degree C is given as

here we know that the temperature is
t = 20 degree C
so we have


now we know that bat heard the echo of sound in 0.05 s
so the to and fro distance of the object is d + d = 2d
so we have



Answer:
a = 1.428 [m/s²]
v₀ = 5 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.

where:
x = final point [m]
x₀ = initial point [m]
v₀ = initial velocity [m/s]
a = acceleration [m/s²]
t = time [s]
But we need to use this additional equation.

where:
vf = final velocity = 15 [m/s]
Now we can use this equation, replacing it, in the first one. We must bear in mind that the difference among x - x₀ is equal to 70 [m]
![x-x_{o}=v_{o}*t+\frac{1}{2}*a*t^{2} \\x-x_{o}=(v_{f}-a*t)*t+\frac{1}{2} *a*t^{2}\\70=(15-a*t)*t+\frac{1}{2}*a*t^{2}\\70=15*t-a*t^{2} +\frac{1}{2}*a*t^{2} \\70=15*t-\frac{1}{2}*a*t^{2}\\70=15*(7)-\frac{1}{2} *a*(7)^{2}\\105-70=0.5*a*49\\35=24.5*a\\a=1.428[m/s^{2} ]](https://tex.z-dn.net/?f=x-x_%7Bo%7D%3Dv_%7Bo%7D%2At%2B%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E%7B2%7D%20%5C%5Cx-x_%7Bo%7D%3D%28v_%7Bf%7D-a%2At%29%2At%2B%5Cfrac%7B1%7D%7B2%7D%20%2Aa%2At%5E%7B2%7D%5C%5C70%3D%2815-a%2At%29%2At%2B%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E%7B2%7D%5C%5C70%3D15%2At-a%2At%5E%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E%7B2%7D%20%5C%5C70%3D15%2At-%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E%7B2%7D%5C%5C70%3D15%2A%287%29-%5Cfrac%7B1%7D%7B2%7D%20%2Aa%2A%287%29%5E%7B2%7D%5C%5C105-70%3D0.5%2Aa%2A49%5C%5C35%3D24.5%2Aa%5C%5Ca%3D1.428%5Bm%2Fs%5E%7B2%7D%20%5D)
Now replacing this value in the second equation, we can find the initial velocity.
![15=v_{o}+1.428*7\\v_{o}=5[m/s]](https://tex.z-dn.net/?f=15%3Dv_%7Bo%7D%2B1.428%2A7%5C%5Cv_%7Bo%7D%3D5%5Bm%2Fs%5D)
Answer:
electron
Explanation:
The energy for particle in a box is given by:

for the system in ground state, n =1
Since, the boxes are identical, L is same for all the three particles.
h is Planck's constant.
Since energy is inversely proportional to wavelength, therefore



Thus, electron has the longest wavelength.