Question

A pendulum takes 10 seconds for 4 oscillations. (a) what is time period (b) If g = 10 ms-² than find its length​

Answer 1

Correct option is

A

2s

Simple Pendulum is a very small heavy metal bob suspended at a point from a firmly fixed support using a single strand thread so that it oscillates freely. The distance between the point of suspension and centre of bob is called the length of the pendulum.

One oscillation: One complete to and fro motion of the oscillating body is called one oscillation.

Frequency: It is the number of oscillations made by the body in one second.

Time Period: It is the time taken by a body to complete one oscillation.

Hence, the Frequency and Time period are calculated as follows.

Time period = Time taken by the pendulum/Number of oscillations made by the pendulum.

10

20

=2s

Frequency =1/Period

2

1

=0.5Hz

Hence, the Time period and frequency are 2 seconds and 0.5 Hertz respectively.

Hope it helps you

Answer 2

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❍ᴀ sɪᴍᴘʟᴇ ᴘᴇɴᴅᴜʟᴜᴍ ɪs ᴏɴᴇ ᴡʜɪᴄʜ ᴄᴀɴ ʙᴇ ᴄᴏɴsɪᴅᴇʀᴇᴅ ᴛᴏ ʙᴇ ᴀ ᴘᴏɪɴᴛ ᴍᴀss sᴜsᴘᴇɴᴅᴇᴅ ғʀᴏᴍ ᴀ sᴛʀɪɴɢ ᴏʀ ʀᴏᴅ ᴏғ ɴᴇɢʟɪɢɪʙʟᴇ ᴍᴀss. ɪᴛ ɪs ᴀ ʀᴇsᴏɴᴀɴᴛ sʏsᴛᴇᴍ .

❍ᴀɴ ᴏsᴄɪʟʟᴀᴛɪᴏɴ, ɪɴ ɢᴇɴᴇʀᴀʟ, ɪs ᴛʜᴇ ʀᴇɢᴜʟᴀʀ ᴍᴏᴠᴇᴍᴇɴᴛ ᴏғ sᴏᴍᴇᴛʜɪɴɢ ʙᴇᴛᴡᴇᴇɴ ᴛᴡᴏ ᴘᴏɪɴᴛs.ᴏɴᴇ ʙᴀᴄᴋ-ᴀɴᴅ-ғᴏʀᴛʜ ᴍᴏᴠᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ᴘᴇɴᴅᴜʟᴜᴍ ɪs ᴏɴᴇ ᴏsᴄɪʟʟᴀᴛɪᴏɴ

❍ᴛʜᴇ ᴛɪᴍᴇ ᴘᴇʀɪᴏᴅ ᴏғ ᴀ sɪᴍᴘʟᴇ ᴘᴇɴᴅᴜʟᴜᴍ: ɪᴛ ɪs ᴅᴇғɪɴᴇᴅ ᴀs ᴛʜᴇ ᴛɪᴍᴇ ᴛᴀᴋᴇɴ ʙʏ ᴛʜᴇ ᴘᴇɴᴅᴜʟᴜᴍ ᴛᴏ ғɪɴɪsʜ ᴏɴᴇ ғᴜʟʟ ᴏsᴄɪʟʟᴀᴛɪᴏɴ ᴀɴᴅ ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ “ᴛ”. 

❍ ғʀᴇǫᴜᴇɴᴄʏ ᴅᴇғɪɴɪᴛɪᴏɴ sᴛᴀᴛᴇs ᴛʜᴀᴛ ɪᴛ ɪs ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴄᴏᴍᴘʟᴇᴛᴇ ᴄʏᴄʟᴇs ᴏғ ᴡᴀᴠᴇs ᴘᴀssɪɴɢ ᴀ ᴘᴏɪɴᴛ ɪɴ ᴜɴɪᴛ ᴛɪᴍᴇ.

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• ᴀɴɢᴜʟᴀʀ ғʀᴇǫᴜᴇɴᴄʏ ɪs ᴀɴɢᴜʟᴀʀ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ ᴏғ ᴀɴʏ ᴇʟᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ᴡᴀᴠᴇ ᴘᴇʀ ᴜɴɪᴛ ᴛɪᴍᴇ.

• ᴀ sᴇᴄᴏɴᴅs ᴘᴇɴᴅᴜʟᴜᴍ ɪs ᴡʜᴏsᴇ ᴛɪᴍᴇ ᴘᴇʀɪᴏᴅ ɪs 2 sᴇᴄᴏɴᴅs

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