23252.A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
A vernier calliper where the 10 divisions in vernier scale matches with 9 division in main scale and main scale has 10 divisions in 1 cm
A screw gauge having 100 divisions in the circular scale and pitch as 1 mm
A screw gauge having 50 divisions in the circular scale and pitch as 1 mm
A meter scale
23253.The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is
5.112 cm
5.124 cm
5.136 cm
5.148 cm
23254.In the determination of Young’s modulus $\left(Y = \dfrac{4MLg}{\pi ld^2}\right)$ by using Searle’s method, a wire of length L = 2 m and diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length of the wire is observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement
Due to the errors in the measurements of d and l are the same
Due to the error in the measurement of d is twice that due to the error in the measurement of l
Due to the error in the measurement of l is twice that due to the error in the measurement of d
Due to the error in the measurement of d is four times that due to the error in the measurement of l
23255.The ratio of the dimensions of Planck constant and that of moment of inertia has the dimensions of
angular momentum
time
velocity
frequency
23256.The dimensions of Stefan’s constant are
[M0 L1 T–3 K–4]
[M1 L1 T–3 K–3]
[M1 L2 T–3 K–4]
[M1 L0 T–3 K–4]
23257.A body of mass m = 3.513 kg is moving along the x–axis with a speed of 5.00 ms–1. The magnitude of its momentum is recorded as
17.6 kg ms–1
17.565 kg ms–1
17.56 kg ms–1
17.57 kg ms–1
23258.Match List–I (Fundamental Experiment) with List–II (its conclusion) and select the correct option from the choices given below the list:
| List – I | List – II | ||
|---|---|---|---|
| (A) | Franck–Hertz experiment | (i) | Particle nature of light |
| (B) | Photo–electric experiment | (ii) | Discrete energy levels of atom |
| (C) | Davison–Germer experiment | (iii) | Wave nature of electron |
| (iv) | Structure of atom |
(A) – (i) (B) – (iv) (C) – (iii)
(A) – (ii) (B) – (iv) (C) – (iii)
(A) – (ii) (B) – (i) (C) – (iii)
(A) – (iv) (B) – (iii) (C) – (ii)
23259.A physical quantity Q is found to depend on observables x, y and z, obeying relation $Q = \dfrac{x^3y^2}{z}$. The percentage error in the measurements of x, y and z are 1%, 2% and 4% respectively. What is percentage error in the quantity Q?
4%
3%
11%
1%
23260.A Vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier calipers, the least count is
0.02 mm
0.05 mm
0.1 mm
0.2 mm
23261.Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of −0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is
3.32 mm
3.73 mm
3.67 mm
3.38 mm