You visited us 1 times! Enjoying our articles? Unlock Full Access!

Integration by Substitution

A book with m...

Question

A book with many printing errors contains four different formulae for the displacement y of a particle undergoing a certain periodic function:

y = a s i n \frac{2 π t}{T}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

y = a s i n v t

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = \frac{a}{T} s i n \frac{t}{a}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = \frac{a}{\sqrt{2}} [s i n \frac{2 π t}{T} + c o s \frac{2 π t}{T}]

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
A $y = a s i n \frac{2 π t}{T}$
D $y = \frac{a}{\sqrt{2}} [s i n \frac{2 π t}{T} + c o s \frac{2 π t}{T}]$

Suggest Corrections

Similar questions

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion:

(a)

(b) y = a sin vt

(c)

(d)

(a = maximum displacement of the particle, v = speed of the particle. T = time-period of motion). Rule out the wrong formulas on dimensional grounds.

y = A sin (V t)

y = \frac{A}{T} sin (\frac{t}{A})

y = \frac{A}{\sqrt{2}} (s i n (w t) + c o s (w t))

y = a s i n {2 π}^{t / T}

υ

\sqrt{2}

π

π

y

y = f (x, t)

Join BYJU'S Learning Program