Question 163: Waves

Question

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the are :

Accepted Answer

$$1.5 = \left( {2{n_1} + 1} \right){\lambda  \over 2}$$  ......(1)
5 = n
2
$$\lambda $$ .....(2)
(1) $$ \div $$ (2)
$${{1.5} \over 5} = {{\left( {2{n_1} + 1} \right)} \over {2{n_2}}}$$
$$ \Rightarrow $$ 3n
2
= 10n
1
+ 5
n
1
= 1 ; n
2
= 5 $$ \Rightarrow $$ $$\lambda $$ = 1
n
1
= 4 ; n
2
= 15 $$ \Rightarrow $$  $$\lambda $$ = 1/3
n
1
= 7 ; n
2
= 25 $$ \Rightarrow $$ $$\lambda $$ = 1/5

Answer

1, 3, 5, .....

Answer

$${1 \over 1},{1 \over 3},{1 \over 5},$$ .....

Answer

1, 2, 3, .....

Answer

$${1 \over 2},{1 \over 4},{1 \over 6},$$

Waves

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the are :

Choose the correct answer: