Answer
a) Using dimensional analysis we cannot derive the relation, But we can check the correctness of the formula.
now, L H S
s = distance
dimension of distance = [M⁰L¹T⁰]
now, equation on the right hand side
R H S
u = speed
u = m/s
Dimension of speed = [M⁰L¹T⁻¹]
dimension of time
t = sec
Dimension of time = [M⁰L⁰T¹]
Dimension of 'ut' = [M⁰L¹T⁻¹][M⁰L⁰T¹]
= [M⁰L¹T⁰]
now, acceleration= a
a = m /s²
dimension of acceleration = [M⁰L¹T⁻²]
dimension of (at²) = [M⁰L¹T⁻²][M⁰L⁰T¹][M⁰L⁰T¹]
= [M⁰L¹T⁰]
hence, the dimension are balanced.
so, L H S = R H S
b) Moment of inertia of hollow sphere =
Moment of inertia of solid sphere =
we know,
Torque is the force that causes rotation
If the same amount of torque is applied to both spheres the sphere with bigger moment of inertia would have smaller angular velocity.
Thus the solid sphere would accelerate more.
<em>Answer:</em>
<em>one of the advantages of alkaline batteries over lead acid batteries is that it is able to provide a larger and more stable current because the cathode does not use carbon bars, but is manganese</em><em>.</em>
<span>C. As a metal comb is held near an object with a negative charge, the comb becomes charged.
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Answer:
also tripled, factor of 3
Explanation:
equation of momentum is p = m * v , where p=momentum, m=mass, and v=velocity
if m is unchanged
p1 = m1 *v1
p2 = m2 *v2
m1 = m2 and v2 = 3*v1
p2 = m1 * 3v1 = 3*p1, tripled momentum
Answer:
Speed of the sound in air is 325 m/s
Explanation:
As we know that the frequency of the sound is given as
wavelength of the sound is given as
now we have
so we have