A knife edge divides a sonometer wire in two parts which differ in length by 2mm. The length of the wire is 1m. The two parts of the string when sound

Question

A knife edge divides a sonometer wire in two parts which differ in length by 2mm. The length of the wire is 1m. The two parts of the string when sound

A knife edge divides a sonometer wire in two parts which differ in length by 2mm. The length of the wire is 1m. The two parts of the string when sounded together produce on beat per second, then the frequency of the smaller and the longer parts of the wire in Hz will be
A. 250.5 and 249.5
B. 249.5 and 250.5
C. 124.5 and 125.4
D. 125.4 and 124.5

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

A metal wire of diameter 1mm is held on two knife edges separated by a distance of 50cm . The tension in the wire is 100 N. the wire vibrates with its

2 Answers 5 Views

A sonometer is set on the floor of a lift. When the lift is at rest, the sonometer wire vibrates with fundamental frequency 256 Hz. When the lift goes

2 Answers 6 Views

A fork gives 5 beats with a 40cm length of sonometer wire. If the length of the wire is shortened by 1cm, the number of beats is still the same. The f

2 Answers 4 Views

A given length of sonometer wire is in resonance with a tuning fork. If the length of the wire is reduced by 4% the wire vibration with the fork produ

2 Answers 4 Views

The fundamental frequency of a sonometer wire increases by 5Hz, if the tension is increased by 21% . The fundamental frequency of the sonometer wire i

2 Answers 4 Views

If a sonometer wire of length 110 cm fixed horizontally under a constant tension, then the bridge be placed below the wire so that the two segments ca

2 Answers 4 Views

A stone in hung in air from a wire which is stretched over a sonometer . The bridges of the sonometer are `40 cm` apart when the wire is in unison wit

2 Answers 4 Views

When the string of the sonometer of length l between the bridges vibrates in the first overtone, then the antinode formed from one end of the string w

2 Answers 4 Views

A sonometer wire of length 65cm is in resonance with a tuning fork of frequency N. If the length of the wire is decreased by 1cm and it is vibrated wi

2 Answers 6 Views

A sonometer wire of length `l_(1)`is in reasonance with a frequency 250 Hz. If the length of wire is increasesed then 2 beats per second are heard. Wh

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`l_1-l_2 = 2xx10^(-3)`
`l_1+l_2 = 1`
`therefore 2l_1=1.002 therefore l_1 = =0.501m1`
`l_2=0.499m`
`n_2-n_1 = 1 " " ….(i)`
`n_1l_1=n_2l_2`
`n_1/n_2=l_2/l_2=499/501 therefore n_1=499/509n_2`
The eqn (i) becomes,
`n_2-499/501 n_2 = 1 therefore 2n_2 = 501`
`n_2 = 205.5 Hz " and " n_1 =205.5-1=249.5`

5 views Answered 2023-02-05 15:29