355390
The potential energy of a system increases, if work is done
1 By the system against a conservative force
2 By the system against a non-conservative force
3 Upon the system by a conservative force
4 Upon the system by a non-conservative force
Explanation:
The potential energy of a system increases, if work is done by the system against a conservative force.
PHXI06:WORK ENERGY AND POWER
355391
A bicyclist comes to a skidding stop in 10 \(m\). During this process, the force on the bicycle due to the road is 200 \(N\) and is directly opposed to the motion. The work done by the cycle on the road is
1 \( - 200\,J\)
2 \( + 2000\,J\)
3 \( - 20000\,J\)
4 Zero
Explanation:
As the road does not move at all, therefore, work done by the cycle on the road must be zero.
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER
355392
A force \(F(x)\) is conservative, if I. It can be derived from a scalar quantity \(V(x)\) II. It depends only on the end points. III. Work done by \(F(x)\) in a closed path is zero. Which of the above statement(s) is/are correct?
1 Only I
2 Both I and III
3 Only II
4 I, II and III
Explanation:
A force \(F(x)\) is conservative, if it can be derived from a scalar quantity \(V(x)\) by the relation given by equation, \(F(x)=\dfrac{-d V}{d x}\). The work done by the conservative force depends only on the end points. This can be seen from the relation, \(W=K_{f}-K_{i}=U\left(x_{i}\right)-U\left(x_{f}\right)\) which depends on the end points. The work done by this force in a closed path is zero. This is once again apparent from equation, \(K_{i}+U\left(x_{i}\right)=K_{f}+U\left(x_{f}\right)\), Since \(x_{i}=x_{f}\) So, all statements are correct.
PHXI06:WORK ENERGY AND POWER
355393
Assertion : The work done by the spring force in a cyclic process is zero Reason : 'Spring - force' is a conservative force.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The work done by the spring force in a cyclic process is indeed zero. This is because in a cyclic process, the system returns to its initial state, and the net work done by a conservative force over a closed path is zero. So correct option is (1).
PHXI06:WORK ENERGY AND POWER
355394
In which of the following cases can the work done increase the potential energy?
1 Conservative force only
2 Non-conservative force only
3 Neither conservative nor non-conservative forces
4 Both conservative and non-conservative forces
Explanation:
In case of non-conservative forces, the work done is dissipated as heat, sound etc, i.e., it does not increase the potential energy.
355390
The potential energy of a system increases, if work is done
1 By the system against a conservative force
2 By the system against a non-conservative force
3 Upon the system by a conservative force
4 Upon the system by a non-conservative force
Explanation:
The potential energy of a system increases, if work is done by the system against a conservative force.
PHXI06:WORK ENERGY AND POWER
355391
A bicyclist comes to a skidding stop in 10 \(m\). During this process, the force on the bicycle due to the road is 200 \(N\) and is directly opposed to the motion. The work done by the cycle on the road is
1 \( - 200\,J\)
2 \( + 2000\,J\)
3 \( - 20000\,J\)
4 Zero
Explanation:
As the road does not move at all, therefore, work done by the cycle on the road must be zero.
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER
355392
A force \(F(x)\) is conservative, if I. It can be derived from a scalar quantity \(V(x)\) II. It depends only on the end points. III. Work done by \(F(x)\) in a closed path is zero. Which of the above statement(s) is/are correct?
1 Only I
2 Both I and III
3 Only II
4 I, II and III
Explanation:
A force \(F(x)\) is conservative, if it can be derived from a scalar quantity \(V(x)\) by the relation given by equation, \(F(x)=\dfrac{-d V}{d x}\). The work done by the conservative force depends only on the end points. This can be seen from the relation, \(W=K_{f}-K_{i}=U\left(x_{i}\right)-U\left(x_{f}\right)\) which depends on the end points. The work done by this force in a closed path is zero. This is once again apparent from equation, \(K_{i}+U\left(x_{i}\right)=K_{f}+U\left(x_{f}\right)\), Since \(x_{i}=x_{f}\) So, all statements are correct.
PHXI06:WORK ENERGY AND POWER
355393
Assertion : The work done by the spring force in a cyclic process is zero Reason : 'Spring - force' is a conservative force.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The work done by the spring force in a cyclic process is indeed zero. This is because in a cyclic process, the system returns to its initial state, and the net work done by a conservative force over a closed path is zero. So correct option is (1).
PHXI06:WORK ENERGY AND POWER
355394
In which of the following cases can the work done increase the potential energy?
1 Conservative force only
2 Non-conservative force only
3 Neither conservative nor non-conservative forces
4 Both conservative and non-conservative forces
Explanation:
In case of non-conservative forces, the work done is dissipated as heat, sound etc, i.e., it does not increase the potential energy.
355390
The potential energy of a system increases, if work is done
1 By the system against a conservative force
2 By the system against a non-conservative force
3 Upon the system by a conservative force
4 Upon the system by a non-conservative force
Explanation:
The potential energy of a system increases, if work is done by the system against a conservative force.
PHXI06:WORK ENERGY AND POWER
355391
A bicyclist comes to a skidding stop in 10 \(m\). During this process, the force on the bicycle due to the road is 200 \(N\) and is directly opposed to the motion. The work done by the cycle on the road is
1 \( - 200\,J\)
2 \( + 2000\,J\)
3 \( - 20000\,J\)
4 Zero
Explanation:
As the road does not move at all, therefore, work done by the cycle on the road must be zero.
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER
355392
A force \(F(x)\) is conservative, if I. It can be derived from a scalar quantity \(V(x)\) II. It depends only on the end points. III. Work done by \(F(x)\) in a closed path is zero. Which of the above statement(s) is/are correct?
1 Only I
2 Both I and III
3 Only II
4 I, II and III
Explanation:
A force \(F(x)\) is conservative, if it can be derived from a scalar quantity \(V(x)\) by the relation given by equation, \(F(x)=\dfrac{-d V}{d x}\). The work done by the conservative force depends only on the end points. This can be seen from the relation, \(W=K_{f}-K_{i}=U\left(x_{i}\right)-U\left(x_{f}\right)\) which depends on the end points. The work done by this force in a closed path is zero. This is once again apparent from equation, \(K_{i}+U\left(x_{i}\right)=K_{f}+U\left(x_{f}\right)\), Since \(x_{i}=x_{f}\) So, all statements are correct.
PHXI06:WORK ENERGY AND POWER
355393
Assertion : The work done by the spring force in a cyclic process is zero Reason : 'Spring - force' is a conservative force.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The work done by the spring force in a cyclic process is indeed zero. This is because in a cyclic process, the system returns to its initial state, and the net work done by a conservative force over a closed path is zero. So correct option is (1).
PHXI06:WORK ENERGY AND POWER
355394
In which of the following cases can the work done increase the potential energy?
1 Conservative force only
2 Non-conservative force only
3 Neither conservative nor non-conservative forces
4 Both conservative and non-conservative forces
Explanation:
In case of non-conservative forces, the work done is dissipated as heat, sound etc, i.e., it does not increase the potential energy.
355390
The potential energy of a system increases, if work is done
1 By the system against a conservative force
2 By the system against a non-conservative force
3 Upon the system by a conservative force
4 Upon the system by a non-conservative force
Explanation:
The potential energy of a system increases, if work is done by the system against a conservative force.
PHXI06:WORK ENERGY AND POWER
355391
A bicyclist comes to a skidding stop in 10 \(m\). During this process, the force on the bicycle due to the road is 200 \(N\) and is directly opposed to the motion. The work done by the cycle on the road is
1 \( - 200\,J\)
2 \( + 2000\,J\)
3 \( - 20000\,J\)
4 Zero
Explanation:
As the road does not move at all, therefore, work done by the cycle on the road must be zero.
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER
355392
A force \(F(x)\) is conservative, if I. It can be derived from a scalar quantity \(V(x)\) II. It depends only on the end points. III. Work done by \(F(x)\) in a closed path is zero. Which of the above statement(s) is/are correct?
1 Only I
2 Both I and III
3 Only II
4 I, II and III
Explanation:
A force \(F(x)\) is conservative, if it can be derived from a scalar quantity \(V(x)\) by the relation given by equation, \(F(x)=\dfrac{-d V}{d x}\). The work done by the conservative force depends only on the end points. This can be seen from the relation, \(W=K_{f}-K_{i}=U\left(x_{i}\right)-U\left(x_{f}\right)\) which depends on the end points. The work done by this force in a closed path is zero. This is once again apparent from equation, \(K_{i}+U\left(x_{i}\right)=K_{f}+U\left(x_{f}\right)\), Since \(x_{i}=x_{f}\) So, all statements are correct.
PHXI06:WORK ENERGY AND POWER
355393
Assertion : The work done by the spring force in a cyclic process is zero Reason : 'Spring - force' is a conservative force.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The work done by the spring force in a cyclic process is indeed zero. This is because in a cyclic process, the system returns to its initial state, and the net work done by a conservative force over a closed path is zero. So correct option is (1).
PHXI06:WORK ENERGY AND POWER
355394
In which of the following cases can the work done increase the potential energy?
1 Conservative force only
2 Non-conservative force only
3 Neither conservative nor non-conservative forces
4 Both conservative and non-conservative forces
Explanation:
In case of non-conservative forces, the work done is dissipated as heat, sound etc, i.e., it does not increase the potential energy.
355390
The potential energy of a system increases, if work is done
1 By the system against a conservative force
2 By the system against a non-conservative force
3 Upon the system by a conservative force
4 Upon the system by a non-conservative force
Explanation:
The potential energy of a system increases, if work is done by the system against a conservative force.
PHXI06:WORK ENERGY AND POWER
355391
A bicyclist comes to a skidding stop in 10 \(m\). During this process, the force on the bicycle due to the road is 200 \(N\) and is directly opposed to the motion. The work done by the cycle on the road is
1 \( - 200\,J\)
2 \( + 2000\,J\)
3 \( - 20000\,J\)
4 Zero
Explanation:
As the road does not move at all, therefore, work done by the cycle on the road must be zero.
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER
355392
A force \(F(x)\) is conservative, if I. It can be derived from a scalar quantity \(V(x)\) II. It depends only on the end points. III. Work done by \(F(x)\) in a closed path is zero. Which of the above statement(s) is/are correct?
1 Only I
2 Both I and III
3 Only II
4 I, II and III
Explanation:
A force \(F(x)\) is conservative, if it can be derived from a scalar quantity \(V(x)\) by the relation given by equation, \(F(x)=\dfrac{-d V}{d x}\). The work done by the conservative force depends only on the end points. This can be seen from the relation, \(W=K_{f}-K_{i}=U\left(x_{i}\right)-U\left(x_{f}\right)\) which depends on the end points. The work done by this force in a closed path is zero. This is once again apparent from equation, \(K_{i}+U\left(x_{i}\right)=K_{f}+U\left(x_{f}\right)\), Since \(x_{i}=x_{f}\) So, all statements are correct.
PHXI06:WORK ENERGY AND POWER
355393
Assertion : The work done by the spring force in a cyclic process is zero Reason : 'Spring - force' is a conservative force.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
The work done by the spring force in a cyclic process is indeed zero. This is because in a cyclic process, the system returns to its initial state, and the net work done by a conservative force over a closed path is zero. So correct option is (1).
PHXI06:WORK ENERGY AND POWER
355394
In which of the following cases can the work done increase the potential energy?
1 Conservative force only
2 Non-conservative force only
3 Neither conservative nor non-conservative forces
4 Both conservative and non-conservative forces
Explanation:
In case of non-conservative forces, the work done is dissipated as heat, sound etc, i.e., it does not increase the potential energy.
