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kipiarov [429]
3 years ago
14

In one of the classic nuclear physics experiments performed by Ernest Rutherford at the beginning of the 20th century, alpha par

ticles (helium nuclei) were shot at gold nuclei and their paths were substantially affected by the Coulomb repulsion from the nuclei. If the energy of the (doubly charged) alpha nucleus was 5.1 MeV, how close to the gold nucleus (79 protons) could it come before being deflected? r =
Physics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

r  = 3.8 × 10 ⁻¹⁴ m

Explanation:

given data

alpha nucleus = 5.1 MeV

Charge of the alpha particle q₁= 2 × 1.6 × 10⁻¹⁹ C = 3.2 × 10⁻¹⁹ C

Charge of the gold nucleus q₂= 79 × 1.6 × 10⁻¹⁹ = 1.264 × 10⁻¹⁷ C

Kinetic energy of  the alpha particle = 5.97 × 10⁶ × 1.602 × 10⁻¹⁹ J ( 1 eV) =  9.564 × 10⁻¹³

k electrostatic force constant = 9 × 10⁹ N.m²/c²

solution

we know that when its kinetic energy is equal to the potential energy than  alpha particle will deflect \

so

Kinetic energy = potential energy =   k q₁q₂ ÷ r   ..................1

here  r is close distance the alpha particle

so r will be put here value

r = (  9 × 10⁹  × 3.2 × 10⁻¹⁹  × 1.264 × 10⁻¹⁷ ) ÷ ( 9.564 × 10⁻¹³  )

r  = 3.8 × 10 ⁻¹⁴ m

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Two particles in a high-energy accelerator experiment are approaching each other head-on, each with a speed of 0.9520c as measur
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Answer:

the magnitude of the velocity of one particle relative to the other is 0.9988c

Explanation:

Given the data in the question;

Velocities of the two particles = 0.9520c

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Let relative velocity be W, so

v_r = ( u + v ) / ( 1 + ( uv / c²) )

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v_r = ( u + u ) / ( 1 + ( u×u / c²) )  

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5 0
3 years ago
4.2 mol of monatomic gas A interacts with 3.2 mol of monatomic gas B. Gas A initially has 9500 J of thermal energy, but in the p
Komok [63]

Answer:

14657.32 J

Explanation:

Given Parameters ;

Number of moles mono atomic gas A ,   n 1  =  4 .2 mol

Number of moles mono atomic gas B ,   n 2  =  3.2mol

Initial energy of gas A ,   K A  =  9500  J

Thermal energy given by gas A to gas B ,   Δ K  =  600 J

Gas constant   R  = 8.314  J / molK

Let  K B  be the initial energy of gas B.

Let T be the equilibrium temperature of the gas after mixing.

Then we can write the energy of gas A after mixing as

(3/2)n1RT = KA - ΔK

⟹ (3/2) x 4.2 x 8.314 x T = 9500 - 600

T = (8900 x 3 )/(2x4.2x8.314) = 382.32 K

Energy of the gas B after mixing can be written as

(3/2)n2RT = KB + ΔK

⟹ (3/2) x 3.2 x 8.314 x 382.32 = KB + 600

⟹ KB = [(3/2) x 3.2 x 8.314 x 382.32] - 600

⟹ KB = 14657.32 J

6 0
3 years ago
The electric potential at the surface of a charged conductor _______.
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Answer:

The electric potential at the surface of a charged conductor<u> is always such that the potential is zero at all points inside the conductor.</u>

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Each point on the surface of a balanced charged conductor has the same electrical potential.

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