Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Prove that 
=
(a – b) (b – c) (c – a) . (a + b + c)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. The displacement of the particle is
y = 0.2 sin 50 π (t + 0.01) meter.
The general eq. of S.H.M. is y = a sin ( ω t + φ ).
Comparing it with the given equation, we get
amplitude, a = 0.2 meter and ω = 50 π .
∴ periodic-time T = 
= 
= 0.04 second.
The velocity of the particle at the displacement y is given by u = 
The maximum velocity (at y = 0) is
u max = ω a = 50 × 3.14 × 0.2 = 31.4 meter/sec.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If the three digit numbers A28, 3B9 and 62C when A, B and C are integers between 0 and 9 which are …
If Δ = , then Δ is
independent of -
f(n), g(n), and h(n) are second degree polynomials in n having n + 2 as a common factor then value …
If Δ r = then equals-
If the system of equations λ x 1 + x 2 + x 3 = 1, x 1 + λ x 2 + x 3 = 1, x 1 + x 2 + λ x 3 = 1 is c…
If a n = then the value of determinant
is -