Answer:
a ) 2.13 X 10⁶ m/s .
b ) 1.28 X 10⁶ m/s
Explanation:
When electrons are repelled by negative plates and attracted by positive plates , it will increase their kinetic energy.
Increase in their energy = 4.15 eV
= 4.5 X 1.6 X 10⁻¹⁹ J
= 6.64 x 10⁻¹⁹ J
Initial kinetic energy
= 1/2 mv²
= 1/2 x 9.1 x 10⁻³¹ x ( 1.76 x 10⁶)²
= 14.09 X 10⁻¹⁹ J
Total energy
= 6.64 x 10⁻¹⁹+14.09 X 10⁻¹⁹
= 20.73 x 10⁻¹⁹
If V be the increased velocity
1/2 m V² = 20.73 X 10⁻¹⁹
.5 X 9.1 X 10⁻³¹ V² = 20.73 X 10⁻¹⁹
V = 2.13 X 10⁶ m/s .
b ) When electrons are released from positive plate , their speed are reduced because of attraction between electrons and positively charge plates.
Initial kinetic energy
= 14.09 x 10⁻¹⁹ J (see above )
reduction in kinetic energy
= 6.64 x 10⁻¹⁹ J ( See above )
Total energy with electron -
= 14.09 x 10⁻¹⁹ - 6.64 x 10⁻¹⁹
= 7. 45 x 10⁻¹⁹ J .
If V be the energy of electrons reaching the negative plate,
1/2 m V² =7. 45 x 10⁻¹⁹
V = 1.28 X 10⁶ ms⁻¹
408 grams has a volume of 408/11.35= 35.947cc
It displaces 35.947cc of water then it =35.947 milliliters
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Answer:
Explanation:
V1 = 31 V
V2 = 168 V
charge on proton, q = e
(a)
The change in potential energy is given by
ΔU = q ( V2 - V1)
ΔU = e (v2 - V1)
(b)
ΔU = e (168 - 31)
ΔU = 137 eV
(c)
Work done = change in potential energy
W = 137 eV
W = 137 x 1.6 x 10^-19
W = 2.19 x 10^-17 J
Explanation:
The frequency of an organ pipe if it is open is given by :
v is speed of sound in air is 343 m/s at 20°C
For fundamental frequency, n = 1
First overtone frequency,
Second overtone frequency,
Third overtone frequency
Hence, this is the required solution.
