Superposition of Transverse Waves
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 \(\dfrac{32}{27}\)
2 \(\dfrac{16}{9}\)
3 \(\dfrac{15}{12}\)
4 \(\dfrac{135}{128}\)
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length \(l\) is \(f_{0}\). A bridge is now introduced at a distance of \(\Delta l\) from the center of the wire \((\Delta l < < l)\). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 \(\dfrac{4 f_{0} \Delta l}{l}\)
2 \(\dfrac{2 f_{0} \Delta l}{l}\)
3 \(\dfrac{f_{0} \Delta l}{l}\)
4 \(\dfrac{8 f_{0} \Delta l}{l}\)
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 \(42\;Hz\)
2 \(24\;Hz\)
3 \(30\;Hz\)
4 \(36\;Hz\)
PHXI15:WAVES

355108 An aluminium wire of length \({l_1} = 60.0\;cm\) of cross-sectional area \(1.00 \times {10^{ - 2}}\;c{m^2}\) is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block \(m\) of mass \(10.0\;kg\) (as in fig), so that the distance \(l_{2}\) from the joint to the supporting pulley is \(86.6\;cm\). 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 \(g = 1000\;cm{\rm{/}}{s^2}\,{\rho _{Al}} = 2.6\;g/c{m^3};\) \({\rho _{steel}} = 7.8\;g{\rm{/}}c{m^3}\))
supporting img

1 \(326.8\,Hz\)
2 \(257.2\,Hz\)
3 \(528.1\,Hz\)
4 \(227.5\,Hz\)
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 \(\dfrac{32}{27}\)
2 \(\dfrac{16}{9}\)
3 \(\dfrac{15}{12}\)
4 \(\dfrac{135}{128}\)
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length \(l\) is \(f_{0}\). A bridge is now introduced at a distance of \(\Delta l\) from the center of the wire \((\Delta l < < l)\). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 \(\dfrac{4 f_{0} \Delta l}{l}\)
2 \(\dfrac{2 f_{0} \Delta l}{l}\)
3 \(\dfrac{f_{0} \Delta l}{l}\)
4 \(\dfrac{8 f_{0} \Delta l}{l}\)
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 \(42\;Hz\)
2 \(24\;Hz\)
3 \(30\;Hz\)
4 \(36\;Hz\)
PHXI15:WAVES

355108 An aluminium wire of length \({l_1} = 60.0\;cm\) of cross-sectional area \(1.00 \times {10^{ - 2}}\;c{m^2}\) is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block \(m\) of mass \(10.0\;kg\) (as in fig), so that the distance \(l_{2}\) from the joint to the supporting pulley is \(86.6\;cm\). 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 \(g = 1000\;cm{\rm{/}}{s^2}\,{\rho _{Al}} = 2.6\;g/c{m^3};\) \({\rho _{steel}} = 7.8\;g{\rm{/}}c{m^3}\))
supporting img

1 \(326.8\,Hz\)
2 \(257.2\,Hz\)
3 \(528.1\,Hz\)
4 \(227.5\,Hz\)
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 \(\dfrac{32}{27}\)
2 \(\dfrac{16}{9}\)
3 \(\dfrac{15}{12}\)
4 \(\dfrac{135}{128}\)
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length \(l\) is \(f_{0}\). A bridge is now introduced at a distance of \(\Delta l\) from the center of the wire \((\Delta l < < l)\). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 \(\dfrac{4 f_{0} \Delta l}{l}\)
2 \(\dfrac{2 f_{0} \Delta l}{l}\)
3 \(\dfrac{f_{0} \Delta l}{l}\)
4 \(\dfrac{8 f_{0} \Delta l}{l}\)
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 \(42\;Hz\)
2 \(24\;Hz\)
3 \(30\;Hz\)
4 \(36\;Hz\)
PHXI15:WAVES

355108 An aluminium wire of length \({l_1} = 60.0\;cm\) of cross-sectional area \(1.00 \times {10^{ - 2}}\;c{m^2}\) is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block \(m\) of mass \(10.0\;kg\) (as in fig), so that the distance \(l_{2}\) from the joint to the supporting pulley is \(86.6\;cm\). 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 \(g = 1000\;cm{\rm{/}}{s^2}\,{\rho _{Al}} = 2.6\;g/c{m^3};\) \({\rho _{steel}} = 7.8\;g{\rm{/}}c{m^3}\))
supporting img

1 \(326.8\,Hz\)
2 \(257.2\,Hz\)
3 \(528.1\,Hz\)
4 \(227.5\,Hz\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
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 \(\dfrac{32}{27}\)
2 \(\dfrac{16}{9}\)
3 \(\dfrac{15}{12}\)
4 \(\dfrac{135}{128}\)
PHXI15:WAVES

355106 The fundamental frequency of a sonometer wire of length \(l\) is \(f_{0}\). A bridge is now introduced at a distance of \(\Delta l\) from the center of the wire \((\Delta l < < l)\). The number of beats heard if both sides of the string are vibrating in fundamental modes are

1 \(\dfrac{4 f_{0} \Delta l}{l}\)
2 \(\dfrac{2 f_{0} \Delta l}{l}\)
3 \(\dfrac{f_{0} \Delta l}{l}\)
4 \(\dfrac{8 f_{0} \Delta l}{l}\)
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 \(42\;Hz\)
2 \(24\;Hz\)
3 \(30\;Hz\)
4 \(36\;Hz\)
PHXI15:WAVES

355108 An aluminium wire of length \({l_1} = 60.0\;cm\) of cross-sectional area \(1.00 \times {10^{ - 2}}\;c{m^2}\) is connected to a steel wire of the same cross-sectional area. The compound wire, loaded with a block \(m\) of mass \(10.0\;kg\) (as in fig), so that the distance \(l_{2}\) from the joint to the supporting pulley is \(86.6\;cm\). 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 \(g = 1000\;cm{\rm{/}}{s^2}\,{\rho _{Al}} = 2.6\;g/c{m^3};\) \({\rho _{steel}} = 7.8\;g{\rm{/}}c{m^3}\))
supporting img

1 \(326.8\,Hz\)
2 \(257.2\,Hz\)
3 \(528.1\,Hz\)
4 \(227.5\,Hz\)