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Day 247: JEE Mains Physics

5 questions. Try each one first, then open its answer.

  1. Question 1

    Waves. Asked once: 2021 Paper 22 (same type asked 2 times) See all 2 of this type

    25
    A wire having a linear mass density 9.0×10−4 kg/m9.0 \times10^{- 4}\text{ }kg/m is stretched between two rigid supports with a tension of 900 N900\text{ }N. The wire resonates at a frequency of 500 Hz500\text{ }Hz. The next higher frequency at which the same wire resonates is 550 Hz550\text{ }Hz. The length of the wire is___ m.

  2. Question 2

    Alternating Current. Asked once: 2021 Paper 23 (same type asked 2 times) See all 2 of this type

    28
    At very high frequencies, the effective impedance of the given circuit will be ____\_\_\_\_ Ω\Omega.

  3. Question 3

    Mechanical Properties of Solids. Asked once: 2021 Paper 22 (same type asked 2 times) See all 2 of this type

    12
    A uniform heavy rod of weight 10 kg ms−210\text{ }kg{\text{ }ms}^{- 2}, cross-sectional area 100 cm2100{\text{ }cm}^{2} and length 20 cm20\text{ }cm is hanging from a fixed support. Young modulus of the material of the rod is 2×1011Nm−22 \times10^{11}Nm^{- 2}. Neglecting the lateral contraction, find the elongation of rod due to its own weight.

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  4. Question 4

    Motion in a Plane. Asked once: 2021 Paper 13 (same type asked 2 times) See all 2 of this type

    19
    Find projection of A→\overrightarrow{A} on B→\overrightarrow{B} given A→=i^+j^&B→=i^+j^+k^\overrightarrow{A}=\widehat{i}+\widehat{j}\&\overrightarrow{B}=\widehat{i}+\widehat{j}+\widehat{k}

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  5. Question 5

    Nuclei. Asked once: 2021 Paper 26 (same type asked 2 times) See all 2 of this type

    6
    A radioactive sample is undergoing α\alpha decay. At any time t1t_{1}, its activity is AA and another time t2t_{2}, the activity is A5\frac{A}{5}. What is the average life time for the sample?

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