Superposition of Transverse Waves
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PHXI15:WAVES

355105 The frequency of a sonometer wire is f, but when the weights producing the tensions are completely immersed in water the frequency becomes f/3, and on immersing the weights in a certain liquid the frequency becomes f/4. The specific gravity of the liquid is:

1 3227
2 169
3 1512
4 135128
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length l is f0. A bridge is now introduced at a distance of Δl from the center of the wire (Δl<<l). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 4f0Δll
2 2f0Δll
3 f0Δll
4 8f0Δll
PHXI15:WAVES

355108 An aluminium wire of length l1=60.0cm of cross-sectional area 1.00×102cm2 is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block m of mass 10.0kg (as in fig), so that the distance l2 from the joint to the supporting pulley is 86.6cm. Transverse waves are set up in the wire by using an external source of variable frequency. What is the lowest frequency of excitation for which standing waves are observed such that the joint in the wire is a node?
(Take g=1000cm/s2ρAl=2.6g/cm3; ρsteel=7.8g/cm3)
supporting img

1 326.8Hz
2 257.2Hz
3 528.1Hz
4 227.5Hz
PHXI15:WAVES

355105 The frequency of a sonometer wire is f, but when the weights producing the tensions are completely immersed in water the frequency becomes f/3, and on immersing the weights in a certain liquid the frequency becomes f/4. The specific gravity of the liquid is:

1 3227
2 169
3 1512
4 135128
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length l is f0. A bridge is now introduced at a distance of Δl from the center of the wire (Δl<<l). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 4f0Δll
2 2f0Δll
3 f0Δll
4 8f0Δll
PHXI15:WAVES

355107 The fundamental frequency of sonometer wire increases by 9Hz, if its tension is increased by 69% keeping the length constant. The frequency of the wire is

1 42Hz
2 24Hz
3 30Hz
4 36Hz
PHXI15:WAVES

355108 An aluminium wire of length l1=60.0cm of cross-sectional area 1.00×102cm2 is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block m of mass 10.0kg (as in fig), so that the distance l2 from the joint to the supporting pulley is 86.6cm. Transverse waves are set up in the wire by using an external source of variable frequency. What is the lowest frequency of excitation for which standing waves are observed such that the joint in the wire is a node?
(Take g=1000cm/s2ρAl=2.6g/cm3; ρsteel=7.8g/cm3)
supporting img

1 326.8Hz
2 257.2Hz
3 528.1Hz
4 227.5Hz
PHXI15:WAVES

355105 The frequency of a sonometer wire is f, but when the weights producing the tensions are completely immersed in water the frequency becomes f/3, and on immersing the weights in a certain liquid the frequency becomes f/4. The specific gravity of the liquid is:

1 3227
2 169
3 1512
4 135128
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length l is f0. A bridge is now introduced at a distance of Δl from the center of the wire (Δl<<l). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 4f0Δll
2 2f0Δll
3 f0Δll
4 8f0Δll
PHXI15:WAVES

355107 The fundamental frequency of sonometer wire increases by 9Hz, if its tension is increased by 69% keeping the length constant. The frequency of the wire is

1 42Hz
2 24Hz
3 30Hz
4 36Hz
PHXI15:WAVES

355108 An aluminium wire of length l1=60.0cm of cross-sectional area 1.00×102cm2 is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block m of mass 10.0kg (as in fig), so that the distance l2 from the joint to the supporting pulley is 86.6cm. Transverse waves are set up in the wire by using an external source of variable frequency. What is the lowest frequency of excitation for which standing waves are observed such that the joint in the wire is a node?
(Take g=1000cm/s2ρAl=2.6g/cm3; ρsteel=7.8g/cm3)
supporting img

1 326.8Hz
2 257.2Hz
3 528.1Hz
4 227.5Hz
PHXI15:WAVES

355105 The frequency of a sonometer wire is f, but when the weights producing the tensions are completely immersed in water the frequency becomes f/3, and on immersing the weights in a certain liquid the frequency becomes f/4. The specific gravity of the liquid is:

1 3227
2 169
3 1512
4 135128
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length l is f0. A bridge is now introduced at a distance of Δl from the center of the wire (Δl<<l). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 4f0Δll
2 2f0Δll
3 f0Δll
4 8f0Δll
PHXI15:WAVES

355107 The fundamental frequency of sonometer wire increases by 9Hz, if its tension is increased by 69% keeping the length constant. The frequency of the wire is

1 42Hz
2 24Hz
3 30Hz
4 36Hz
PHXI15:WAVES

355108 An aluminium wire of length l1=60.0cm of cross-sectional area 1.00×102cm2 is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block m of mass 10.0kg (as in fig), so that the distance l2 from the joint to the supporting pulley is 86.6cm. Transverse waves are set up in the wire by using an external source of variable frequency. What is the lowest frequency of excitation for which standing waves are observed such that the joint in the wire is a node?
(Take g=1000cm/s2ρAl=2.6g/cm3; ρsteel=7.8g/cm3)
supporting img

1 326.8Hz
2 257.2Hz
3 528.1Hz
4 227.5Hz