Question 1:
easyThe linear momentum of a particle is given by P = a + bt², where t is time and a & b are constants. The force acting on the body is directly proportional to :
Given momentum of the object is P = a + bt²;
Force is defined as rate of change of momentum F= dP/dt= 2bt. so Force is proportional to t.
Question 2:
moderateDuring an experiment an ideal gas obeys an \( PV^{\frac{1}{2}}=constant \) . The initial condition of temperature and volume are T and V. When it expand to volume 4V, than its temperature will be :
For an ideal gas obeying \( PV^{\frac{1}{2}} = \text{constant} \):
1. Use the ideal gas law: \( PV = nRT \), so \( P = \frac{nRT}{V} \).
2. Substitute \( P = \frac{nRT}{V} \) in \( PV^{\frac{1}{2}} = \text{constant} \):
\[
\frac{nRT}{V} \cdot V^{\frac{1}{2}} = \text{constant} \Rightarrow nRT \cdot V^{-\frac{1}{2}} = \text{constant}
\]
3. At initial state, \( T = T \) and \( V = V \):
\[
T V^{-\frac{1}{2}} = \text{constant}
\]
4. When \( V \) changes to \( 4V \):
\[
T' (4V)^{-\frac{1}{2}} = T V^{-\frac{1}{2}}
\]
5. Simplify:
\[
T' \cdot \frac{1}{2} = T \Rightarrow T' = 2T
\]
So, the final temperature \( T' = 2T \).
Question 3:
In the given circuit diagram, potential difference across 2Ω resistance is :
Question 4:
In the circuit shown below, the cell has an emf of 10 V and internal resistance of 1 ohm. The other resistances are shown in the figure. The potential difference /[V_{A}-V_{B}/] is :
Question 5:
In the circuit element given here, if the potential at point B, /[V_{B}=0/], then the potentials of A and D are given as :
Question 6:
What will be potential difference between A and D points of given circuit.
Question 7:
Potential of the points P and Q in the circuit shown in the figure are
Question 8:
The potential of point O in the steady state circuit shown on the right is
Question 9:
Four resistors 40Ω, 60Ω, 90Ω and 110Ω are connected to a battery of emf 4 volt and negligible internal resistance as shown in the following figure. Then, the potential difference between the points B and D is :-
Question 10:
In the following figure the current through 4 ohm resistor is :-
