SMATEE TEST SERIES 2 PHYSICS

1. On which of the following does the energy of a simple harmonic motion depend.

a) ⍵
b) 1/⍵²
c) 1/a²
d)  a²

2. An organ pipe P1 closed at one end vibrating in its first harmonic and another pipe P2 open at ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is:

a) 8/3
b) 3/8
c) 1/6
d) 1/3

3. If x = a sin [ωt + (π/3)] and x′ = a cos ωt, then what is the phase difference between two waves?

a) π/3
b) π/6
c) π/2
d) π

4. If the successive frequencies in a one end closed organ pipe are 245 and 315 Hz respectively, then the frequency of third overtone will be

a) 105 Hz
b) 175 Hz
c) 245 Hz
d) 315 Hz

5. The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

a) 12.5
b) 13.3
c) 8
d) 16

6. Light propagates rectilinearly, due to

a) wave nature
b) wavelengths
c) velocity
d) frequency

7. The colours seen in the reflected white light from a thin oil film are due to

a) Diffraction
b) Interference
c) Polarisation
d) Dispersion

8. Which phenomenon leads us to the conclusion that light is transverse in nature?

a) refraction of light
b) diffraction of light
c) dispersion of light
d) polarization of light.

9. The angular resolution of a 10cm diameter telescope at a wavelength 5000Å is of the order

a) 10⁶ rad
b) 10⁻² rad
c) 10⁻⁴rad
d) 10⁻⁶ rad

10. A double convex lens is made of glass of refractive index 1.55 with both faces of same radius of curvature. Find the radius of curvature required, if focal length is 20cm.

a) 22 cm
b) 44 cm
c) 11 cm
d) 33cm

11. The force between two small charged spheres having charges of 1 × 10^-7 C and 2 × 10^-7 C placed  apart in air is

a) 4.5 × 10^-2 N
b) 4.5 × 10^-3  N
c) 5.4 × 10^-2  N
d) 5.4 × 10^-3  N

12. If a dipole of dipole moment  is placed in a uniform electric field E, then torque acting on it is given

13. Gauss’s law is valid for

a) any closed surface
b) only regular close surfaces
c) any open surface
d) only irregular open surfaces

14. 1 C charge is equivalent to charge on how much number of protons?

a) 6 × 10¹⁸
b) 7 × 10¹⁹
c) 8 × 10²⁰
d) 9 × 10²¹

15. Which of the following graphs shows the correct variation of force when the distance r between two charges varies?

A) (a)
B) (b)
C) (c)
D) (d)

16. In hydrogen spectrum, the shortest wavelength in Balmer series is . The shortest wavelength in Brackett series will be

a) 2λ
b) 4λ
c) 9λ 
d) 16λ

17. The shortest wavelength of Lyman series of hydrogen is equal to the shortest wavelength of Balmer series of a hydrogen-like atom of atomic number . The value of is

a) 4
b) 2
c) 3
d) 6

18. Two protons attract each other when

a) The distance between them is 10^-2 m
b) The distance between them is 10^-9m
c) The distance between them is 10^-15  m
d) This will never happen

19. Which of the following has high penetration power?

a) α-particles
b) β-rays
c) γ-rays
d) X-rays

20. Which of the following pairs are isotones?

a) ₁H² and ₁H³
b) ₃H³ and ₁H³
c) ₆C¹² and ₇N¹³
a) ₁H¹ and ₂H⁴