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New answer posted
7 months agoContributor-Level 10
t? + t? = t
v? /t? = α and v? /t? = β
t? = v? /α and t? = v? /β
v? /α + v? /β = t
v? (1/α + 1/β) = t
v? = (αβt) / (α + β)
Distance traveled = Area under speed-time graph
Distance = ½ * base * height = ½ * t * v?
Distance = ½ * t * (αβt) / (α + β) = (αβt²) / (2 (α + β)
New answer posted
7 months ago
Contributor-Level 10
Position vector about O (r_o) = 5i + 5√3j
Force vector (F) = 4i - 3j
Torque about O (τ_o) = r_o * F
τ_o = (5i + 5√3j) * (4i - 3j)
τ_o = -15k - 20√3k = (-15 - 20√3)k
Position vector about Q (r_q) = -5i + 5√3j
Torque about Q (τ_q) = r_q * F
τ_q = (-5i + 5√3j) * (4i - 3j)
τ_q = 15k - 20√3k = (15 - 20√3)k
New answer posted
7 months agoContributor-Level 10
Positive zero error = 0.02 cm
Reading = 8.5 + 6 * 0.01 = 8.56 cm
Actual reading = Reading - Positive zero error
Actual reading = 8.56 - 0.02 = 8.54 cm
New answer posted
7 months agoContributor-Level 10
The relationship between the de Broglie wavelengths of an electron (λe) and a photon (λp) is derived as follows:
For an electron: λe = h / mv = h / √ (2mE)
For a photon: λp = h / p = hc / E
Taking the ratio of the wavelengths squared:
(λe / λp)² = [h / √ (2mE)]² / [hc / E]²
(λe / λp)² = (h² / 2mE) * (E² / h²c²)
(λe / λp)² = E / 2mc²
(λe / λp) = (1/c) * √ (E / 2m)
New answer posted
7 months agoContributor-Level 10
Given:
- i = 10
- e = 1.6 x 10? ¹? C
- A = 5 x 10?
- V = 2 x 10? ³
The formula for current is I = neAV.
Rearranging for n (number of free electrons per unit volume):
n = I / (eAV)
n = 10 / (1.6 * 10? ¹? * 5 * 10? * 2 * 10? ³)
n = 625 * 10²?
New answer posted
7 months agoContributor-Level 10
Image by objective must be at focus of eye piece.
1/v - 1/u = 1/f?
1/5 - 1/u = 1 ; u = -5/4 cm
Hence, N = 50.
New answer posted
7 months agoContributor-Level 10
We know, P = √2Em and λ = h/√2Em
For 1st maxima, 2nd sinθ = λ
Put (1) and get the answer
E = 50.47eV.
B = µ? I (200)/2R? R? = 20 cm; R? = 1 cm
e = -dΦ/dt = π (R? )² (500) dB/dt
= π (R? )² (500) (µ? I/2R? ²) (200) (10t-2)
= π (1/10000) (500) (200) (µ? ) (8) (5)/ (2)
= 16π² x 10 x 5 x 10?
= 800π² x 10?
e = 0.7887mv
4/x = 0.8; x = 5.
New answer posted
7 months agoContributor-Level 10
M? = 200MeV/C², m = 1Gev/C²
Initial velocity of particle is 'V'.
Final velocity of hydrogen atom is 'V'
M? V? = mV
V = M? V? /m
Also, 1/2 M? V? ² = 1/2 mV² + 3/4 x 13.6
Put (1) and get answer
1/2 M? V? ² = 51/4 eV
Hence, N = 51.
New answer posted
7 months agoContributor-Level 10
F = (i + 2j + 3k)N
r = (4 - 1)i + (3 - 2)j + (-1 - 1)k)
τ = r x F
= (3i + j - 2k) x (i + 2j + 3k)
ijk
3 1 -2 ⇒ I (3 + 4) - j (11) + (6-1)k
1 3
7i - 11j + 5k
|τ| = √121 + 25 + 49
|τ| = √195 ; x = 195
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