Question

using Dimentional analysis obtain an expression for the speed of sound waves in a medium​

Answer 1

Answer:

Speed of sound v∝Baρb⇒v=KBaρb→ ...(b)

Dimensions of v=M0L1T−1,

Elasticity of medium,

B=M1L−T−2, density ρ=M1L−3 ,constant K=M0L0T0

Now (1) becomes M0L1T−1=M0L0T0[M1L−1T−2]a[M1L−3]b

0=a+b

1=−a−3b

=−1=−2a⇒a=12

b=−12

v=KB12ρ12

∴v=Bρ−−√ [∵K=1, practically ]

Answer 2

Explanation:

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.