Home
Class 12
PHYSICS
(A) : The friction gives the necessa...

(A) : The friction gives the necessary centripetal force at the unbanked curved path
( R) : When a body is moving an un banked curved path below the maximum safe velocity friction has self adjusting nature

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true and (R) is not the correct explanation of A

C

(A) is true but ( R) is false

D

Both (A) and (R ) are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given problem, we need to analyze both statements (A) and (R) to determine their validity and whether (R) serves as the correct explanation for (A). ### Step-by-Step Solution: 1. **Understanding Statement (A)**: - Statement (A) claims: "The friction gives the necessary centripetal force at the unbanked curved path." - In an unbanked curve, a vehicle or object moves along a curved path. For an object to maintain circular motion, a centripetal force is required, which can be provided by friction when the object is moving at a speed below the maximum safe velocity. 2. **Understanding Statement (R)**: - Statement (R) claims: "When a body is moving on an unbanked curved path below the maximum safe velocity, friction has self-adjusting nature." - This means that as long as the speed of the object is below the maximum safe velocity, the frictional force will adjust itself to provide the necessary centripetal force to keep the object moving in a circular path. 3. **Analyzing the Relationship**: - If the speed of the object is less than the maximum safe velocity, the frictional force can indeed adjust to provide the required centripetal force. This means that both statements are true. - Additionally, since (R) explains why (A) is true (the friction adjusts to provide the necessary centripetal force), we can conclude that (R) is the correct explanation for (A). 4. **Conclusion**: - Both statements (A) and (R) are true, and (R) correctly explains (A). Therefore, the answer is that both (A) and (R) are true, and (R) is the correct explanation of (A). ### Final Answer: Both (A) and (R) are true, and (R) is the correct explanation of (A). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

(A) : When a body moves on rough surface the mechanical energy is not constant (R) : Friction is non conservative force

A body is moving down along inclined plane of angle of inclination q. The coefficient of friction between the body and the plane varies as mu = 0.5x, where x is the distance moved down the plane. The body will have the maximum velocity when it has travelled a distance x given by

A vehicle is travelling along unbanked curved path. If the friction between the road and tyres suddenly disappears then the vehicle

A : For a particle moving in a straight line, its acceleration must be either parallel or antiparallel to velocity. R : A body moving along a curved path may have constant acceleration.

In the following questions a statement of assertion (A) is followed by a statement of reason ( R). A: When a body moves on a curved path with increasing speed then angle between instantaneous velocity and acceleration is acute angle. R: When the speed is increasing its tangential acceleration is in the direction of instaneous velocity .

As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N Motion of charged particle will be along a helical path with

As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N Angular frequency of rotation of particle, also called the cyclotron frequency' is

As a charged particle 'q' moving with a velocity vec(v) enters a uniform magnetic field vec(B) , it experience a force vec(F) = q(vec(v) xx vec(B)). For theta = 0^(@) or 180^(@), theta being the angle between vec(v) and vec(B) , force experienced is zero and the particle passes undeflected. For theta = 90^(@) , the particle moves along a circular arc and the magnetic force (qvB) provides the necessary centripetal force (mv^(2)//r) . For other values of theta (theta !=0^(@), 180^(@), 90^(@)) , the charged particle moves along a helical path which is the resultant motion of simultaneous circular and translational motions. Suppose a particle that carries a charge of magnitude q and has a mass 4 xx 10^(-15) kg is moving in a region containing a uniform magnetic field vec(B) = -0.4 hat(k) T . At some instant, velocity of the particle is vec(v) = (8 hat(i) - 6 hat(j) 4 hat(k)) xx 10^(6) m s^(-1) and force acting on it has a magnitude 1.6 N If the coordinates of the particle at t = 0 are (2 m, 1 m, 0), coordinates at a time t = 3 T, where T is the time period of circular component of motion. will be (take pi = 3.14 )

A car is taking turn on a circular path of radius R. If the coefficient of friction between the tyres and road is mu , the maximum velocity for no slipping is

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.