Answer:
![d=6.874mm](https://tex.z-dn.net/?f=d%3D6.874mm)
Explanation:
Linear momentum of the block is conserved in the
direction since the impulsive force due to impact cancels each other internally.
![m_bv_b_x=(m_b+m_B)v_x\\(0.01)(300cos 30\textdegree)=(10+0.01)v\\\therefore v=0.259548m/s](https://tex.z-dn.net/?f=m_bv_b_x%3D%28m_b%2Bm_B%29v_x%5C%5C%280.01%29%28300cos%2030%5Ctextdegree%29%3D%2810%2B0.01%29v%5C%5C%5Ctherefore%20v%3D0.259548m%2Fs)
Using the conservation of energy to the block system considering the initial position:
![T_1+V_1=T_2+V_2\\\\0+0.5(m_b+m_B)v^2=0+(m_b+m_B)gh\\0.5(10+0.01)(0.259548)^2=(0.01+10)(9.8)\\h=0.003437m\\\therefore h=3.437mm](https://tex.z-dn.net/?f=T_1%2BV_1%3DT_2%2BV_2%5C%5C%5C%5C0%2B0.5%28m_b%2Bm_B%29v%5E2%3D0%2B%28m_b%2Bm_B%29gh%5C%5C0.5%2810%2B0.01%29%280.259548%29%5E2%3D%280.01%2B10%29%289.8%29%5C%5Ch%3D0.003437m%5C%5C%5Ctherefore%20h%3D3.437mm)
Applying Sine rule:
![d=\frac{h}{Sin 30\textdegree}\\d=6.874mm](https://tex.z-dn.net/?f=d%3D%5Cfrac%7Bh%7D%7BSin%2030%5Ctextdegree%7D%5C%5Cd%3D6.874mm)
Hence, the distance the block will slide up is 6.874mm
The answer is approximately 2.998e+8
Answer:
the required angle is 0.0834879⁰
Explanation:
Given the data in the question;
slit separation; d = 1.75 mm = 1.75 × 10⁻³ m
wavelength λ₁ = 425 nm = 425 × 10⁻⁹ m
wavelength λ₂ 510 nm = 510 × 10⁻⁹ m
Now, we know that, the angle at which a particular bright fringe occurs on either side of the central bright fringe will be;
tanθ =
/ D = mλ/d
since they both coincides;
tanθ₁ = tanθ₂
m₁λ₁/d = m₂λ₂/d
multiply both sides by d
so,
m₁/m₂ = λ₂/λ₁
we substitute
m₁/m₂ = 510 nm / 425 nm
m₁/m₂ = 510 nm / 425 nm
divide through by 85
m₁/m₂ = 6 / 5
hence m₁ and m₂ are 6 and 5
so, from the previous formula
tanθ₂ = m₂λ₂/d
we substitute
tanθ₂ = [ 5 × ( 510 × 10⁻⁹ m ) ] / 1.75 × 10⁻³ m
tanθ₂ = 255 × 10⁻⁸ m / 1.75 × 10⁻³ m
tanθ₂ = 255 × 10⁻⁸ m / 1.75 × 10⁻³ m
tanθ₂ = 0.00145714
θ₂ = tan⁻¹( 0.00145714 )
θ₂ = 0.0834879⁰
Therefore, the required angle is 0.0834879⁰
1. A delicious cup of hot soup
2. My very talented mother
3. The baby in the perambulator
4. The rotten eggs
5. That clumsy little girl
6. The thief with the beard