Answer:
The dimensional formula of the amplitude of a wave is given by,
[ M⁰L¹T⁰ ]
Where,
M = Mass
L = Length
T = Time
Derivation
The amplitude of wave = Maximum displacement
Since, the dimensional formula of displacement = [ M⁰L¹T⁰ ]
Therefore, the amplitude of a wave is dimensionally represented as [ M⁰L¹T⁰ ]
Answer:
Electric energy moves through the wire to the lamp's bulb. In the bulb, electric energy transforms into thermal energy and light energy.
Explanation:
Mass of Jupiter=1.9×10
27
㎏=M
1
Mass of Sun=1.99×10
30
㎏=M
2
Mean distance of Jupiter from Sun=7.8×10
11
m=r
G=6.67×10
−11
N㎡㎏
−2
Gravitational Force, F=
r
2
GM
1
M
2
F=
(7.8×10
11
)
2
6.67×10
−11
×1.9×10
27
×1.99×10
30
F=4.16×10
23
N
Answer:
0.0327 m
Explanation:
m = 2 kg
ω = 24 rad/s
A = 0.040 m
Let at position y, the potential energy is twice the kinetic energy.
The potential energy is given by
U = 1/2 m x ω² x y²
The kinetic energy is given by
K = 1/2 m x ω² x (A² - y²)
Equate both the energies as according to the question
1/2 m x ω² x y² = 2 x 1/2 m x ω² x (A² - y²)
y² = 2 A² - 2 y²
3y² = 2A²
y² = 2/3 A²
y = 0.82 A = 0.82 x 0.040 = 0.0327 m
