A particle moves towards east for 2 s with velocity 15 m/s and move towards north for 8 s with velocity 5 m/s. Then, the average velocity of the particle is:

1. 2 m/s

2. 5 m/s

3. 7 m/s

4. 10 m/s

Relation between a wavelength of photon and electron of same energy is:
1. \( \lambda_{p h}>\lambda_e \)
2. \( \lambda_{p h}<\lambda_e \)
3. \( \lambda_{p h}=\lambda_e\)
4. \(\frac{\lambda_e}{\lambda_{p h}}=\text { constant }\)

Match the following. 

1. C-2, D-1
2. A-4, B-3
3. A-3, C-2
4. B-2, A-1

If we increase the kinetic energy of a body by 300%, then percent increase in its momentum is:

1. 50%

2. 300%

3. 100%

4. 150%

Change in acceleration due to gravity is same at height h above the Earth surface and  depth \(x ,\) then relation between \(x\) and \(h\) is: (\(h\) and \(x<<R_e\))

1. \(x=h\)
2. \(x=2h\)
3. \(x=\frac h2\)
4. \(x=h^2\)

A mass of \(1~\mathrm{kg}\) is suspended from a spring of force constant \(400\) N, executing SHM total energy of the body is \(2\) J, then the maximum acceleration of the spring will be:
1. \( 4 \mathrm{~m} / \mathrm{s}^2 \)
2. \( 40 \mathrm{~m} / \mathrm{s}^2 \)
3. \( 200 \mathrm{~m} / \mathrm{s}^2 \)
4. \( 400 \mathrm{~m} / \mathrm{s}^2\)
 

Two capacitors of capacities \(C_1\) and \(C_2\) are charged upto the potential \(V_1\) and \(V_2,\) then the condition for not flowing the charge between them when connected the capacitors, in parallel is:
1. \(C_1=C_2\)
2. \(C_1V_1=C_2V_2\)
3. \(V_1V_2\)
4. \(\frac{C_1}{V_1}=\frac{C_2}{V_2}\)

Find equivalent resistance between \(X\) and \(Y\):
  

1. \(R\)

2. \(R/L\)

3. \(2R\)

4. \(5R\)

Vibrations of rope tied by two rigid ends shown by equation \(y=cos2\pi t\sin2\pi x,\) then the minimum length of the rope will be:
1. \(1\) m
2. \(\frac12\) m
3. \(5\) m
4. \(2\pi\) m

If we change the value of \(R,\) then:
  

1. voltage does not change on \(L\)

2. voltage does not change on \(LC\) combination

3. voltage does not change on \(C\)

4. voltage changes on \(LC\) combination