Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics-

General

Easy

Question

Two bodies are projected from the same point with equal speeds in such directions that they both strike the same point on a plane whose inclination is $beta$ . If $proportional to$ be the angle of projection of the first body with the horizontal the ratio of their times of flight is

$\frac{\cos \propto}{\sin (\propto + β)}$
$\frac{\sin (\propto + β)}{\cos \propto}$
$\frac{\cos \propto}{\sin (\propto - β)}$
$\frac{\sin (\propto - β)}{\cos \propto}$

The correct answer is: $fraction numerator sin invisible function application left parenthesis proportional to plus beta right parenthesis over denominator cos invisible function application proportional to end fraction$

Let $alpha to the power of ´ end exponent$ be the angle of projection of the second body

$R equals fraction numerator u to the power of 2 end exponent over denominator g c o s to the power of 2 end exponent beta end fraction open square brackets s i n open parentheses 2 alpha minus beta close parentheses minus s i n beta close square brackets$
Range of both the body is same. Therefore
$sin invisible function application open parentheses 2 alpha minus beta close parentheses equals s i n open parentheses 2 alpha to the power of ´ end exponent minus beta close parentheses$
$o r blank 2 alpha to the power of ´ end exponent minus beta equals pi minus open parentheses 2 alpha minus beta close parentheses$
$alpha to the power of ´ end exponent equals fraction numerator pi over denominator 2 end fraction minus open parentheses alpha minus beta close parentheses$
$N o w comma blank T equals fraction numerator 2 u s i n open parentheses alpha minus beta close parentheses over denominator g c o s beta end fraction blank a n d blank T to the power of ´ end exponent equals fraction numerator 2 u s i n open parentheses alpha to the power of ´ end exponent minus beta close parentheses over denominator g c o s beta end fraction$
$therefore blank fraction numerator T over denominator T to the power of ´ end exponent end fraction equals fraction numerator sin invisible function application open parentheses alpha minus beta close parentheses over denominator sin invisible function application open parentheses alpha to the power of ´ end exponent minus beta close parentheses end fraction equals fraction numerator sin invisible function application open parentheses alpha minus beta close parentheses over denominator s i n open curly brackets fraction numerator pi over denominator 2 end fraction minus open parentheses alpha minus beta close parentheses minus beta close curly brackets end fraction$
$fraction numerator sin invisible function application open parentheses alpha minus beta close parentheses over denominator s i n open parentheses fraction numerator pi over denominator 2 end fraction minus alpha close parentheses end fraction equals fraction numerator sin invisible function application open parentheses alpha minus beta close parentheses over denominator c o s alpha end fraction$

Related Questions to study

A projectile is thrown at angle $beta$ with vertical. It reaches a maximum height H. The time taken to reach the highest point of its path is

A projectile is thrown at angle $beta$ with vertical. It reaches a maximum height H. The time taken to reach the highest point of its path is

Physics-General

A particle is moving with velocity $v equals k open parentheses y stack stack i with dot on top with hat on top plus x blank stack stack j with dot on top with hat on top close parentheses comma$ where $k blank$ is a constant. The general equation for its path is

A particle is moving with velocity $v equals k open parentheses y stack stack i with dot on top with hat on top plus x blank stack stack j with dot on top with hat on top close parentheses comma$ where $k blank$ is a constant. The general equation for its path is

Physics-General

The force required to keep a body in uniform circular motion is

The force required to keep a body in uniform circular motion is

Physics-General

parallel

An aeroplane moving horizontally at a speed of $200 blank m divided by s$ and at a height of $8.0 cross times 10 to the power of 3 end exponent blank m$ is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released

An aeroplane moving horizontally at a speed of $200 blank m divided by s$ and at a height of $8.0 cross times 10 to the power of 3 end exponent blank m$ is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released

Physics-General

In uniform circular motion of a particle

In uniform circular motion of a particle

Physics-General

A small particle of mass $m blank$ is projected at an angle $theta$ with the $x$ -axis with an initial velocity $v subscript 0 end subscript$ in the $x$ - $y$ plane as shown in the figure. $A t blank a blank t i m e blank t less than fraction numerator v subscript 0 end subscript sin invisible function application theta over denominator g end fraction comma$ the angular momentum of the particle is

A small particle of mass $m blank$ is projected at an angle $theta$ with the $x$ -axis with an initial velocity $v subscript 0 end subscript$ in the $x$ - $y$ plane as shown in the figure. $A t blank a blank t i m e blank t less than fraction numerator v subscript 0 end subscript sin invisible function application theta over denominator g end fraction comma$ the angular momentum of the particle is
Physics-General

parallel

A projectile is projected with velocity $k v subscript e end subscript$ in vertically upward direction from the ground into the space $blank left parenthesis v subscript e end subscript$ is the escape velocity and $k less than 1 right parenthesis$ . If air resistance is considered to be negligible then the maximum height from the center of earth to which it can go will be $left parenthesis R equals r a d u s blank o f blank e a r t h right parenthesis$

A projectile is projected with velocity $k v subscript e end subscript$ in vertically upward direction from the ground into the space $blank left parenthesis v subscript e end subscript$ is the escape velocity and $k less than 1 right parenthesis$ . If air resistance is considered to be negligible then the maximum height from the center of earth to which it can go will be $left parenthesis R equals r a d u s blank o f blank e a r t h right parenthesis$

Physics-General

A particle moves in a circle of radius $30 blank c m$ . Its linear speed is given by $v equals 2 t$ where $t$ in second and $v$ in $m divided by s$ . Find out its radial and tangential acceleration at $t equals 3 blank s e c$ respectively

A particle moves in a circle of radius $30 blank c m$ . Its linear speed is given by $v equals 2 t$ where $t$ in second and $v$ in $m divided by s$ . Find out its radial and tangential acceleration at $t equals 3 blank s e c$ respectively

Physics-General

An airplane, diving at an angle of $53.0 degree$ with the vertical releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00 s after being released. What is the speed of the aircraft?

An airplane, diving at an angle of $53.0 degree$ with the vertical releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00 s after being released. What is the speed of the aircraft?

Physics-General

parallel

A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is $1.2 cross times 10 to the power of negative 3 end exponent m to the power of 2 end exponent. blank$ Around its central section a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25s, the emf induced in the coil is

A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is $1.2 cross times 10 to the power of negative 3 end exponent m to the power of 2 end exponent. blank$ Around its central section a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25s, the emf induced in the coil is

Physics-General

The alternating voltage induced in the secondary coil of a transformer is mainly due to

The alternating voltage induced in the secondary coil of a transformer is mainly due to

Physics-General

In a coil rate of change of area is $5 blank m to the power of 2 end exponent divided by m i l l i blank s e c o n d$ and current between becomes 1 $a m p$ from $2 blank a m p$ in $2 cross times 10 to the power of negative 3 end exponent blank s e c$ . If magnitude of field is $1 blank t e s l a$ inductance of the coil is

In a coil rate of change of area is $5 blank m to the power of 2 end exponent divided by m i l l i blank s e c o n d$ and current between becomes 1 $a m p$ from $2 blank a m p$ in $2 cross times 10 to the power of negative 3 end exponent blank s e c$ . If magnitude of field is $1 blank t e s l a$ inductance of the coil is

Physics-General

parallel

An inductance $L$ and a resistance $R$ are first connected to a battery. After some time the battery is disconnected but $L$ and $R$ remain connected in a closed circuit. Then the current reduces to 37% of its initial value in

An inductance $L$ and a resistance $R$ are first connected to a battery. After some time the battery is disconnected but $L$ and $R$ remain connected in a closed circuit. Then the current reduces to 37% of its initial value in

Physics-General

A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is approximately

A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is approximately

Physics-General

In the diagram shown if a bar magnet is moved along the common axis of two single turn coils $A$ and $B$ in the direction of arrow

In the diagram shown if a bar magnet is moved along the common axis of two single turn coils $A$ and $B$ in the direction of arrow
Physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.