Question

In a stationary wave described by the equation y = 10sin(4πx/5)*sin(10πt).
Find the phase difference of Oscillations of two particles located at
x = 1 cm and x = 2 cm.
A. Zero
B. π
C. π/2
D. π/4

Answer 1

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ɪɴ ᴀ ꜱᴛᴀᴛɪᴏɴᴀʀʏ ᴡᴀᴠᴇ ᴅᴇꜱᴄʀɪʙᴇᴅ ʙʏ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ʏ = 10ꜱɪɴ(4 π x/5) • ꜱɪɴ(10 π ᴛ).

ɪɴ ᴀ ꜱᴛᴀᴛɪᴏɴᴀʀʏ ᴡᴀᴠᴇ ᴅᴇꜱᴄʀɪʙᴇᴅ ʙʏ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ʏ = 10ꜱɪɴ(4 π x/5) • ꜱɪɴ(10 π ᴛ).ꜰɪɴᴅ ᴛʜᴇ ᴘʜᴀꜱᴇ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴏꜰ ᴏꜱᴄɪʟʟᴀᴛɪᴏɴꜱ ᴏꜰ ᴛᴡᴏ ᴘᴀʀᴛɪᴄʟᴇꜱ ʟᴏᴄᴀᴛᴇᴅ ᴀᴛ

ɪɴ ᴀ ꜱᴛᴀᴛɪᴏɴᴀʀʏ ᴡᴀᴠᴇ ᴅᴇꜱᴄʀɪʙᴇᴅ ʙʏ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ʏ = 10ꜱɪɴ(4 π x/5) • ꜱɪɴ(10 π ᴛ).ꜰɪɴᴅ ᴛʜᴇ ᴘʜᴀꜱᴇ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴏꜰ ᴏꜱᴄɪʟʟᴀᴛɪᴏɴꜱ ᴏꜰ ᴛᴡᴏ ᴘᴀʀᴛɪᴄʟᴇꜱ ʟᴏᴄᴀᴛᴇᴅ ᴀᴛx = 1 ᴄᴍ ᴀɴᴅ x = 2 ᴄᴍ.

ᴀ. ᴢᴇʀᴏ

ʙ. π

ᴄ. π/2

ᴅ. π/4

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0.1 M

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