Superposition of Waves-1 : Interference and Beats — Flashcards
ICSE · Class 11 · Physics
34 flashcards for Superposition of Waves-1 : Interference and Beats (ICSE Class 11 Physics) to test yourself on key terms and facts.
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State the principle of superposition of waves.
Answer
Two or more progressive waves travel simultaneously in a medium without affecting each other. The resultant displacement of a particle at any instant is the vector sum of the displacements produced by…
When does the principle of superposition fail?
Answer
It does not hold for very large amplitude waves, such as laser waves. For small-amplitude waves, it remains valid.
State the formula for resultant displacement of two waves with phase difference phi.
Answer
Resultant displacement: y = y1 + y2 = a1 sin(ωt−kx) + a2 sin(ωt−kx+phi) Here, a1 and a2 are amplitudes, phi is phase difference, omega is angular frequency, and k is wave number.
A particle receives displacements y1 = 3 cm and y2 = 4 cm in the same direction at the same instant. Find the resultant displacement.
Answer
Given: y1 = 3 cm, y2 = 4 cm Formula: y = y1 + y2 Step 1: y = 3 cm + 4 cm Step 2: y = 7 cm Answer: Resultant displacement = 7 cm…
State the formula for resultant amplitude of two interfering waves.
Answer
R^2 = a1^2 + a2^2 + 2a1a2 cos phi Here, R is resultant amplitude, a1 and a2 are individual amplitudes, and phi is phase difference.
Two waves have amplitudes 5 units and 12 units and phase difference 0. Find the resultant amplitude.
Answer
Given: a1 = 5 units, a2 = 12 units, phi = 0 Formula: R^2 = a1^2 + a2^2 + 2a1a2 cos phi Step 1: cos 0 = 1 Step 2: R^2 = 5^2 + 12^2 + 2(5)(12)(1) Step 3: R^2 = 25 + 144 + 120 = 289 Step 4: R = sqrt(289)…
State the formula for resultant intensity in interference.
Answer
I = I1 + I2 + 2sqrt(I1 I2) cos phi The resultant intensity depends on phase difference phi.
Why does interference produce bright and dark regions?
Answer
Interference happens when coherent waves of the same frequency superpose. At some points they meet in the same phase and give constructive interference with maximum intensity. At other points they mee…
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