Answer

Verified

347.1k+ views

**Hint:**In the given data a ball is falling towards the downwards with some velocity and it strikes to the wedge which was moving horizontally with some velocity if the direction of two velocities changes then the ratio of those velocities is at some angle given in the data. Now by using momentum of inertia with a given angle we are finding the ratio of velocities.

**Complete step-by-step solution:**

Given data, velocity ${v_1}$ and another velocity ${v_2}$

Here the forces applied perpendicular to the wedge, so momentum of the charge is initial momentum of inertia and final momentum inertia and the momentum changes only in the direction of the wedge,

${P_i} = {P_f}$

Thus, $m{v_1}\cos {30^ \circ } = m{v_2}\sin {30^ \circ }$

Here mass is same and velocities are different, as we discussed earlier at some angle is applied

Then we get the ratio of two velocities is,

$\dfrac{{{v_1}}}{{{v_2}}} = \tan {30^ \circ }$

From trigonometric equations tan value is,

$\dfrac{{{v_1}}}{{{v_2}}} = \dfrac{1}{{\sqrt 3 }}$

Hence we have proved the ratio of velocities is $\dfrac{1}{{\sqrt 3 }}$

**Note:**Momentum is defined as the product of mass in motion and velocity. Thus from the given velocities we have proved the ratio of velocities, hence the correct option is b. in the given data the mass is constant and velocities are different and given some angle at the wedge of the objects. Hence we have proved from the momentum of the inertia formula.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

The 3 + 3 times 3 3 + 3 What is the right answer and class 8 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE