Answer:
f = 931.1 Hz
Explanation:
Given,
Mass of the wire, m = 0.325 g
Length of the stretch, L = 57.7 cm = 0.577 m
Tension in the wire, T = 650 N
Frequency for the first harmonic = ?
we know,

μ is the mass per unit length
μ = 0.325 x 10⁻³/ 0.577
μ = 0.563 x 10⁻³ Kg/m
now,

v = 1074.49 m/s
The wire is fixed at both ends. Nodes occur at fixed ends.
For First harmonic when there is a node at each end and the longest possible wavelength will have condition
λ=2 L
λ=2 x 0.577 = 1.154 m
we now,
v = f λ


f = 931.1 Hz
The frequency for first harmonic is equal to f = 931.1 Hz
Answer:
Iron
Explanation:
The buoyant force equals to the weight of water being displaced by the object.
Since, the volume of both iron and wood is equal and the wood is not completely submerged, but the iron block is completely submerged i.e more volume of the water is being displaced by the iron block.
Hence, the buoyant force is more on the iron.
Answer:
C. The spring constant of spring 2 is larger than spring 1.
Explanation:
As we know that spring constant also called the stiffness constant of a spring is the value of force required for the deformation of the spring by a unit length.
Mathematically given as:

where:
stiffness constant
force on the spring
change in length of the spring
It is given in the question that spring 1 is easily compressible and requires less force to compress as compared to spring 2 and hence it has lesser stiffness constant than that of spring 2.
Answer:
$v_f = = 7.9 \times10^3 \text{ m/s }$